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PhD Dissertations

In 1909 the department awarded its first PhD to  Grace M. Bareis , whose dissertation was directed by Professor Harry W. Kuhn. The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times. Find below a list of PhD theses completed in our program since 1952. (Additionally, search Ohio State at  Math Genealogy , which also includes some theses from other OSU departments.)

  
2024Castillo, NicholasOn Rational Approximations, Resurgence and Riemann-Hilbert ProblemsOvidiu Costin
2024Christopherson, AdamWeak-type Regularity of the Bergman Projection on Non-smooth DomainsKenneth Koenig
2024Clause, NathanielNew Invariants and Algorithms for Persistence over PosetsFacundo Mémoli
2024Goldman, KatherineShephard GroupsJingyin Huang
2024Genlik, DenizHolomorphic Anomaly Equations For [C /Z ]Hsian-Hua Tseng
2024Gülen, Aziz BurakAlgebraic-Combinatorial Perspectives on Persistence: Functorial Constructions via Möbius Inversion and Galois ConnectionsFacundo Mémoli
2024Lee, JonghooBrauer Group of Split Toric Variety and Split Toric SchemeRoy Joshua
2024Lee, RayReaction-Diffusion Equations in Spatial EcologyKing-Yeung Lam
2024Newton, ScottRepresentability For Monoid ExtensionsSanjeevi Krishnan
2024Packer, DanielSymmetrical Machine LearningDustin Mixon
2024Sehgal, KritiDynamics of the Hénon–Heiles System and Generalizing the Sokhotski-Plemelj FormulaOvidiu Costin
2024Terek Couto, IvoThe Geometry and Structure of Compact Rank-one ECS ManifoldsAndrzej Derdzinski
2024Xing, HaoNumber Theoretical and Dynamical Properties of Euclidean Lattices and Their SublatticesNimish Shah
2023Charparro Sumalave, Gustavo Lafont, Jean-Francois
2023Chen, Chen Anderson, David
2023Gomez Flores, Mario Memoli, Facundo
2023Pan, Amanda Nguyen, Hoi
2023Super, Shidhesh Tseng, Hsian-Hua
2023Zhou, Ling Memoli, Facundo
2023Carr, Matthew Harper, John
2023Casey, Ian Anderson, David
2023Chen, Quan Penneys, David
2023Mishra, Bhawesh Bergelson, Vitaly
2023Liu, Baian Loper, Alan
2023Su, Wei Hung Xiu, Dongbin
2023Wei, Zhining Luo, Wenzhi
2023Werf Vander, Andrew Kahle, Matthew [Paquette, Elliot]
2023Zhang, Danyu Gogolyev, Andriy
2022Ababneh, Ayat Kahle, Matthew
2022Ackelsberg, Ethan Bergelson, Vitaly
2022Andrejek, Luke Best, Janet
2022Call, Benjamin Thompson, Daniel
2022Campolongo, Elizabeth Taylor, Krystal
2022Chen, Yuhang Tseng, Hsian-Hua
2022Dell, Zachary Penneys, David
2022Duncan, Paul Kahle, Matthew
2022Farhangi, Sohail Bergelson, Vitaly
2022Huston, Peter Penneys, David
2022Jeon, Minyoung Anderson, David
2022Kim, Jimin Kahle, Matthew
2022Leung, Wing Hong Holowinsky, Roman
2022Martínez Figueroa, Francisco Kahle, Matthew
2022Mejia Cordero, Julian Holowinsky, Roman
2022Oh, Josiah Lafont, Jean-Francois
2022Sun, Jiawei Xing, Yulong
2022Tsang, Ling Hei Katz, Eric
2022Vargas Bernal, Esteban Tien, Joseph
2022Wang, Qingsong Memoli, Facundo
2022Wang, Yuda Koenig, Kenneth
2022Yan, Pan Cogdell, James
2022Yang, Ruize Xing, Yulong
2022Zhang, Yilong Clemens, Herbert
2022Zhou, Zixu Dongbin, Xiu
2021Bainbridge, Gabriel Krishnan, Sanjeevi
2021Bello, Jason Sivakoff, David
2021Best, Andrew Bergelson, Vitaly
2021Bruno, Nick Loper, Kenneth Alan
2021Chen, Zhen Xiu, Dongbin
2021Clark, Duncan Harper, John
2021Clum, Charles Mixon, Dustin
2021Ferre Moragues, Andreu Bergelson, Vitaly
2021Harper, Matthew Kerler, Thomas
2021Hernandez Palomares, Roberto Penneys, David
2021Lim, Sunhyuk Memoli, Facundo
2021Patel, Dhir Hiary, Ghaith
2021Schonsheck, Nikolas Harper, John
2021Shah, Aniket Anderson, David
2021Wan, Zhengchao Memoli, Facundo
2021Wang, Tianyu Thompson, Daniel
2021Xie, Yuancheng Kodama, Yuji
2021Zelada Cifuentes, Jose Rigoberto Enrique     Bergelson, Vitaly
2021Zhang, Han Shah, Nimish
2020Antoniou, Austin Loper, Kenneth Alan
2020Beckwith, Alexander Luo, Wenzhi
2020Castillo, Andrew Koenig, Kenneth
2020DeBoer, Neil Carlson, Timothy
2020Horst, Michael Johnson, Niles
2020Kim, Woojin Memoli, Facundo
2020Mernik, Luka McNeal, Jeffery
2020Ohl, Trent   Miller, Christopher
2020Osborne, Matthew Tien, Joseph
2020Singhal, Kritika Memoli, Facundo
2020Wang, Jun Tseng, Hsian-Hua
2020Zhang, Runlin Shah, Nimish
2020Zhang, Yu Harper, John
2019Aggarwal, Keshav Holowinsky, Roman
2019Carnovale, Marc Bergelson, Vitaly
2019Chowdhury, Samir Memoli, Facundo
2019Guo, Sheng Guan, Bo
2019Khalil, Osama Shah, Nimish
2019Meehan, Sean Nguyen, Hoi
2019Okutan, Osman Memoli, Facundo
2019Ritchey, Katherine Kahle, Matthew
2019Xiong, Jue McNeal, Jeffery 
2019Xu, Chao Moscovici, Henri
2019Yang, Pengyu Shah, Nimish
2019Ye, Rongqing Cogdell, James
2018Belfanti, Edward Michael Cogdell, James
2018Blomquist, Jacobson Harper, John
2018Glogic, Irfan Costin, Ovidiu
2018Jo, Yeongseong Cogdell, James
2018Kennedy, Christopher Lafont, Jean-Francois
2018Khan, Gabriel Zheng, Fangyang
2018Lin, Yongxiao Holowinsky, Roman
2018McGregor, Daniel Loper, Kenneth Alan
2018Moore, Daniel Cogdell, James
2018Nash, Evan Kennedy, Gary
2018Newman, John Andrew Kahle, Matthew
2018Nowland, Kevin Holowinsky, Roman
2018Renardy, Marissa  Chou, Ching-Shan
2018Richter, Florian Bergelson, Vitaly
2018Sathaye, Bakul Lafont, Jean-Francois
2018Shin, Yeonjong Xiu, Dongbin
2018Staten, Corey  Johnson, Niles
2018Wang, Yilong Kerler, Thomas
2018Yang, Xige Xue, Chuan
2018Yu, Han Baek Sivakoff, David
2017Adali, Ali Tanveer, Saleh
2017Borland, Alexander Kerler, Thomas
2017Dinitz, Thomas Best, Janet
2017Glasscock, Daniel Bergelson, Vitaly
2017Kim, Tae Eun Tanveer, Saleh
2017Liu, Shenhui Luo, Wenzhi
2017Parsons, Kyle Kahle, Matthew
2017Senay Aras, Betul Chou, Ching-Shan
2017Steward, Michael Loper, Kenneth Alan
2017Swang, Theodore Best, Janet
2017Wang, Yanli Chou, Ching-Shan
2017Xia, Bingyu Anderson, David
2017You, Fenglong Tseng, Hsian-Hua
2016Buenger, Carl  Shah, Nimish
2016Cervantes, José Moscovici, Henri
2016Edholm, Luke  McNeal, Jeffery
2016Le, Giang  Davis, Michael
2016Malen, Greg  Kahle, Matthew
2016Moreira, Joel  Bergelson, Vitaly
2016Schmidt, Benjamin Anderson, David
2016Sun, Weizhou Chou, Ching-Shan
2016Wang, Shi Lafont, Jean-Francois
2016Zhang, Qing Cogdell, James
2016Zheng, Cheng Shah, Nimish
2015Baker, Charles Costin, Ovidiu
2015Gubkin, Steven  McNeal, Jeffery
2015Hsu, Ting-Hao Keyfitz, Barbara
2015Huang, Jihui Kodama, Yuji
2015Lam, Wing Chung Luo, Wenzhi
2015Liu, Yang Moscovici, Henri
2015Nasca, Angelo  Bergelson, Vitaly
2015Noble, Laine Lou, Yuan
2015Qi, Zhi Holowinsky, Roman
2015Robertson, Donald  Bergelson, Vitaly
2015Sui, Zhenan Guan, Bo
2015Talamo, James Gerlach, Ulrich
2015Wang, Xiaohui Golubitsky, Martin
2015Xia, Xiaoyue Costin, Ovidiu
2015Yang, Tao Moscovici, Henri
2015Ying, Hao Keyfitz, Barbara
2015Zhang, Qing Luo, Wenzhi
2014Bosna, Bora Carlson, Timothy
2014Christopherson, John Bergelson, Vitaly
2014Edgren, Neal  McNeal, Jeffery
2014Fotis, Samuel  Luo, Wenzhi
2014Jia, Yuhan Kodama, Yuji 
2014Kim, Jung Eun Best, Janet
2014Miller, Jason  Kennedy, Gary
2014Nicol, Andrew Lafont, Jean-Francois
2014Olmez, Faith Best, Janet
2014Ozcakir, Ozge Tanveer, Saleh
2014Park, Hyejin Costin, Ovidiu
2014Poole, Daniel Pittel, Boris
2014Ravindran, Hari  Luo, Wenzhi
2014Wang, Kun Lafont, Jean-Francois
2014Yang, Lei Shah, Nimish
2014Ye, Zhilin Holowinsky, Roman
2013Acan, Huseyin Pittel, Boris
2013Alexander, Samuel Carlson, Timothy
2013All, Timothy  Sinnott, Warren
2013Banerjee, Sayanti  Best, Janet
2013Chen, Weitao Chou, Ching-Shan
2013Estill, Charles Chmutov, Sergei
2013George, Jennifer  Kerler, Thomas 
2013Gibbins, Aliska Davis, Michael W.
2013Greene, Ryan Davis, Michael W.
2013Joecken, Kyle Lafont, Jean-Francois
2013Kowalick, Ryan Lafont, Jean-Francois
2013Perkins, Rudolph  Goss, David
2013Peterson, Nicholas  Pittel, Boris
2013Rosenblatt, Heather Tanveer, Saleh
2013Son, Younghwan Bergelson, Vitaly
2013Sun, Wei Guan, Bo
2013Teh, Wen Chean Carlson, Timothy
2013Tychonievich, Michael Chris Miller
2013Vutha, Amit Golubitsky, Martin
2013Waller, Bradley Sinnott, Warren
2013Wiser, Justin Golubitsky, Martin
2013Yu, Xun Clemens, Herbert
2012Averill, Isabel  Lou, Yuan
2012Chai, Jingsong Cogdell, James
2012Du, Dong Burghelea, Dan
2012Easwaran, Hiranmoy Bergelson, Vitaly
2012Gard, Andrew  Fangyang Zheng
2012Kim, Raeyong Lafont, Jean-Francois
2012Lynd, Justin Solomon, Ron
2012Sequin, Matthew Kerler, Thomas 
2012Sivaraman, Vaidyanathan Robertson, G. Neil
2012Ustian, Alex  Shah, Nimish
2011Adduci, James Mityagin, Boris
2011Danisman, Yusuf Cogdell, James
2011Hui, Wing San Zheng, Fangyang
2011Ji, Haixia Feinberg, Martin
2011McDougal, Robert  Terman, David
2011Munther, Daniel  Lou, Yuan
2011Polo, Fabrizio Bergelson, Vitaly
2011Ravisankar, Sivaguru McNeal, Jeffery
2011Ross, Christopher Jon Pittel, Boris
2011Samara, Marko March, Peter
2011Valle, Raciel Leary, Ian
2011Whitaker, Erica  Cogdell, James
2011Xie, Zhizhang Moscovici, Henri
2011Zhang, Huaijian Baker, Gregory
2011Zhang, Lizhi Costin, Ovidiu
2010Ahn, Sungwoo Terman, David
2010File, Daniel Whitman Cogdell, James
2010Huang, Min Costin, Ovidiu
2010Im, Jeong Sook Baker, Gregory
2010Joshi, Janhavi McNeal, Jeffery
2010Kadyrov, Shirali Shah, Nimish
2010Khare, Niraj Seress, Akos
2010Kilanowski, Phillip  March, Peter
2010Kim, Kyung-Mi Cogdell, James
2010Lee, Gangyong Rizvi, S. Tariq
2010Lim, Changhoon Guan, Bo
2010Liu, Yu-Han Clemens, Herbert
2010Mance, William Bergelson, Vitaly
2010Peng, Na Edgar, Gerald A.
2010Su, Shu Kao, Chiu-Yen
2010Wang, Jie Clemens, Herbert
2010Wang, Ying Kao, Chiu-Yen
2010Werner, Nicholas  Loper, Alan
2010Ye, Ji Tanveer, Saleh
2010Zeki, Mustafa Terman, David
2010Zeytuncu, Yunus Ergin McNeal, Jeffery
2010Zhang, Yanyan Golubitsky, Martin
2009Altomare, Christian  Robertson, G. Neil
2009Bezugly, Andriy Lou, Yuan
2009Griesmer, John  Bergelson, Vitaly
2009Joshi, Badal  Best, Janet
2009Kurt, Oguz Robertson, G. Neil
2009Kwa, Kiam Heong Gerlach, Ulrich
2009Li, Lingfei Zheng, Fangyang
2009Liu, Sheng-Chi Luo, Wenzhi
2009Luo, Guo Baker, Gregory
2009McSweeney, John  Pittel, Boris
2009Mehta, Nishali Seress, Akos
2009Pikula, Rafal Bergelson, Vitaly
2009Puliyambalath, Naushad  Seress, Akos
2009Qiu, Zhi Costin, Ovidiu
2009Shi, Ronggang Einsiedler, Manfred
2009Swartz, Eric  Seress, Akos
2009Wang, Xueying Terman, David
2009Xie, Chao Baker, Gregory
2009Young, Justin Rallis, Stephen
2009Yu, Yang Baker, Gregory
2009Zhao, Peng Luo, Wenzhi
2008Arms, Scott Sinnott, Warren
2008Ault, Shaun  Fiedorowicz, Z.
2008Balachandran, Niranjan Robertson, G. Neil
2008Hur, Suhkjin Glover, Henry H.
2008Kar, Aditi Chatterji, Indira
2008Khoury, Michael Cogdell, James
2008McClain, Christopher Robertson, G. Neil
2008Nikolov, Martin  Flicker, Yuval
2008Niu, Liang Seress, Akos
2008Schnell, Christian Clemens, Herbert
2008Xiong, Wei March, Peter
2008Xu, Songyun Clemens, Herbert
2008Yang, Keyan Seress, Akos
2008Yeum, Ji-A Pittel, Boris
2007Hambrock, Richard Lou, Yuan
2007Hammett, Adam  Pittel, Boris
2007Lennon, Craig  Pittel, Boris G.
2007Park, Choongseok Terman, David
2007Pavlov, Ronald  Bergelson, Vitaly
2007Pu, Ming March, Peter
2007Qi, Dongwen Davis, Michael
2007Schoenecker, Kevin  Wyman, Bostwick F.
2007Stey, George  McNeal, Jeffery D.
2006Dimitrov, Youri Edgar, Gerald A.
2006Fu, Yun Baker, Gregory
2006Guler, Dincer Zheng, Fangyang
2006Lee, Seung Youn March, Peter
2006McKinley, Scott  March, Peter
2006Oman, Gregory  Loper, Alan
2006Pitale, Ameya Rallis, Steven
2006Tsoi, Man Sandstede, B. & Lou, Y
2006Wang, Hongyuan Zheng, Fangyang
2006Xia, Honggang Luo, Wenzhi
2005Chan, Ping-Shun Flicker, Yuval
2005Ghazaryan, Anna  Sandstede, Bjorn
2005Guloglu, Ahmet  Luo, Wenzhi
2005Kane, Abdoul Terman, David
2005Kaygun, Atabey Moscovici, Henri
2005Kennel, Lauren McNeal, Jeffery
2005Manukian, Vahagn Sandstede, Bjorn
2005Micu, Eliade Mihai Robertson, G. Neil
2005Salminen, Adam  Linckelman, Markus
2005Wolfe, Adam  Seress, Akos
2004Antal, Tamas Moscovici, Henri
2004Argesanu, George  Wyman, Bostwick F.
2004Herbig, Anne-Katrin McNeal, Jeffery D.
2004Iancu, Aniela Karina Wyman, Bostwick F.
2004Liu, Xing Tanveer, Saleh
2004Malyushitsky, Sergey  Harada, Koichiro
2004Otto, Michael Krötz, Bernhard & Stanton, Robert
2004Roman, Cosmin  Rizvi, Syed M.Tariq
2004Wang, Jin Baker, Gregory
2003Bell, Robert William, II Charney, Ruth M.
2003Boros, Dan Davis, Michael W.
2003Golubeva, Natalia  Baker, Gregory R.
2003Gorodnyk, Oleksandr Bergelson, Vitaly
2003Han, Zhongxian Wyman, Bostwick F.
2003Lladser, Manuel  Pemantle, Robin A.
2003Mendris, Robert Nemethi, Andras
2003Wang, Chian-Jen Rallis, Stephen
2003Yablonsky, Eugene Dynin, Alexander
2003Zhou, Xiangqian Robertson, G. Neil
2002Aydin, Nuh Ray-Chaudhuri, Dijen K.
2002Barbacioru, Catalin  Sinnott, Warren M.
2002Conrad, Eric  Milne, Stephen C.
2002Craciun, Gheorghe Feinberg, Martin Robert
2002Fiala, Nick  Seress, Akos
2002Hu, Xiaodong Moscovici, Henri
2002Jalics, Jozsi Zoltan Terman, David
2002McCoy, Ted Edgar, Gerald A.
2002Sachelarie, Vlad Wyman, Bostwick F.
2002Sherer, Scott  Scott, James
2002Slone, Rodney  Lee, R.
2001Beli, Constantin  Hsia, John S.
2001Breitenbucher, Jon  Milne, Stephen C.
2001Korchagina, Inna  Solomon, Ronald
2001Liu, Youjian Fitz, Michael
2001Marchenko, Vadim  Terman, David
2001Pham, Lan  Baker, Gregory R.
2001Pohlman, Matthew  Baker, Gregory R.
2001Stacklin, Thomas  Pittel, Boris G.
2001Xie, Xuming Tanveer, Saleh
2000Arenas-Carmona, Luis  Hsia, John S.
2000Barbu, Adrian  Ash, Avner D.
2000Butkevich, Sergey  Bergelson, Vitaly
2000Cashy, John  Glover, Henry H.
2000Gonciulea, Constantin Davis, Michael W.
2000Gries, Daniel  Mislin, Guido
2000Iskhakov, Igor  Davis, Michael W.
2000Nabavi, Ali Ray-Chaudhuri, Dijen K.
2000Pavlov, Savva  Rallis, Stephen
2000Qian, Jin Ray-Chaudhuri, Dijen K.
2000Ralfs, Arthur  Terman, David
2000Ramsey, John  Oz, Hayrani A.
2000Xie, Xuming Tanveer, Saleh
2000Zhang, Shaobo Myung, In Jae
1999Blackford, Jason  Ray-Chaudhuri, Dijen K.
1999Bucicovschi, Bogdan Burghelea, Dan
1999Genyuk, Julia Edgar, Gerald A.
1999Gorokhovsky, Alexander  Moscovici, Henri
1999Bondareva Humphreys, Natalia  Baishanski, Bogdan M.
1999Liu, Kan Ray-Chaudhuri, Dijen K. & Sehgal, Surinder K.
1999Mihalas, Stelian Robertson, G. Neil
1999Möller, Torsten Crawfis, Roger
1999Nigussie, Yared Robertson, G. Neil
1999Ragozzine, Charles  Ferrar, Joseph C.
1999Roberts, Joel Philip Silverberg, Alice
1999Siap, Irfan Ray-Chaudhuri, Dijen K.
1999Snyder, Brian  Goss, David
1999Szilárd, Ágnes Nemethi, Andras
1999Yang, Zifeng Goss, David
1999Yeh, Jieh-Shan  Ray Chaudhduri, Dijen
1999YU, HOSEOG Rubin, Karl C.
1999ZHANG, LINGHAI Terman, David
1998Golds, Jeffrey  Edgar, Gerald A.
1998Hartenstein, Margaret  Solomon, Ronald
1998HLAVACEK, JAN Baishanski, Bogdan M.
1998Jalics, Miklos  Baker, Gregory R.
1998LARICK, PAUL  Bergelson, Vitaly
1998Lu, Qin Mislin, Guido
1998MAKAROV, MIHAIL  Kappeler, Thomas
1998Mohácsy, Hedvig Ray-Chaudhuri, Dijen K.
1998Renedo, Marco  Bergelson, Vitaly
1998WAYAND, LEE  Davis, Michael W.
1998ZENKOV, DMITRY  BLOCH, ANTHONY M.
19971997BALTEANU, CORNEL FIEDOROWICZ, ZBIGNIEW
1997CHEN, YU QING Glover, Henry H.
1997GALUP, LUIS  Baishanski, Bogdan M.
1997HLAVACEK, AMY  HUNEKE, J. PHILIP
1997Hofmann, Glenn Nagaraja, H.N.
1997JOHNSON, BRYAN  Baishanski, Bogdan M.
1997Kim, Yongdai Baatoszynski, Robert
1997Koperski, Jeffrey  Batterman, Robert
1997LEININGER, VERNE  Milne, Stephen C.
1997MAJOR, EMERY  Burghelea, Dan
1997NANCE, ANTHONY  DOWLING, THOMAS A.
1997STADLER, JONATHAN Milne, Stephen C.
1997VOMPE, DMITRY  Baker, Gregory
1997WEISHAAR, ROBERT  Pittel, Boris
1997YAO, LIHUA March, Peter
1997Ye, Jian Kodama, Yuji
1997ZINOVIEV, DMITRII Flicker, Yuval
1996Altobelli, Joseph  Charney, R.
1996BABIKOV, MARK  Ferrar, Joseph C.
1996BAGDASAROV, SERGEY  Mityagin, Boris 
1996Carlson, Charles  Forest, M. Gregory
1996Chan, Shing-Wai Moscovici, Henri
1996Chan, Wai Kiu Hsia, John
1996CHERN, SHIKAI Moscovici, Henri
1996Das, Manabendra  Edgar, Gerald A.
1996Degenhardt, Sheldon Milne, Stephen C.
1996HUNT, DONALD  CARROLL, FRANCIS W.
1996JEON, INTAE March, Peter
1996Lam, Ching Hung Harada, Koichiro
1996Lame, John Sinnott, Warren
1996MAHARRY, JOHN  Robertson, G. Neil
1996Morje, Prabhav Harada, Koichiro
1996MULLINS, EDMOND N., JR Edgar, Gerald A.
1996POPESCU, CRISTIAN  Rubin, Karl C.
1996POUFINAS, THOMAS Mityagin, Boris 
1996ROSENBERG, STEVEN  Sinnott, Warren
1996SHALACK, JULIE  Ash, Avner D.
1996SZABO, TIBOR Seress, Akos
1996Tsolomitis, Antonis Davis, W. 
1996Tungol, Ronald  Pittel, Boris G. 
1996Wong, ChiKun  Charney, Ruth
1996XIAO, YIMIN TALAGRAND, MICHEL
1996ZHOU, JIANPING Wyman, Bostwick F.
1995Bhatnagar, Gaurav Milne, Stephen C.
1995Dixit-Radiya, Vibha Panda, Dhabaleswar K.
1995Gupta, Sandeep  Huang, C.H.
1995Joung, Haewon Nevai, Paul
1995Kessar, Radha Solomon, Ronald
1995Lee, Cary Dougherty, Randall
1995Lee, Yoonweon Burghelea, Dan
1995Marcsik, John Burghelea, Dan
1995McCutcheon, Randall Bergelson, Vitaly
1995Oh, Jangheon Sinnott, Warren
1995Peery, Thaddeus  Ozbay, Hitay 
1995Pinter, Ferenc  Nevai, Paul
1995Snell, Michael  Baishanski, B.
1995Varga, Jozsef Mityagin, Boris 
1995Wai, Hon-kit Burghelea, Dan
1995Weisz, Iván Seress, Akos 
1995Wu, Kuo-Chi Kodama, Y.
1995Xiang, Qing Ray-Chaudhuri, D.K.
1995Xu, Mingzhi Rubin, Karl
1995Zhang, Jianxiang Baishanski, Bogdan
1994Ashokkumar, C. R. Yedavalli, Rama K.
1994Dharmatilake, Jack  Robertson, G. Neil
1994Giust, Steven  Wyman, Bostwick F.
1994Gonzalez-Aviles, Cristian  Rubin, Karl C.
1994Jiang, Dihua Rallis, Stephen
1994Li, Kuo-tung Rosenblatt, Joseph
1994Manjrekar, Rajesh  Ash, Avner
1994McClure, Mark Edgar, Gerald A.
1994Schwartz, Peter  Rosenblatt, Joseph
1994Shao, You Yu Hsia, John
1994Wu, Xiaohong Dowling, Thomas
1994Zantout, Rached  Zheng, Yuan F.
1993Anderson, Michael  Ferrar, J.
1993Beleznay, F. Foreman, Matthew 
1993Belhadj, Mohamed Aldemir, Tunc 
1993Daquila, Richard Carroll, Francis W. 
1993Elder, Gove  Madan, Manohar L. 
1993Huang, Xiaoming Bojanic, Ranko 
1993Lee, Euiwoo Terman, David 
1993Leou, Ying-Tyug Friedman, Harvey 
1993Ouyang, Mingqing Neumann, Walter 
1993Sofer, Adriana S. Ash, Avner 
1993Szabó, Tamás  Divis, Zita
1993Tang, Shu-Leung Gold, Robert
1993Yang, Tzu-Yi Glover, Henry H.
1993Zha, Xiaoya Dowling, Thomas
1993Zhu, Tianbao Ray-Chaudhuri, D.K.
1992Ahmed, Shamim Klein, Charles A.
1992Bishop, Gregory  Carlson, Timothy
1992Cao, Jianzhong Forest, M.G.
1992Gethner, Ellen Parson, L. Alayne 
1992Haaland, Inger  Bergelson, Vitaly 
1992Icaza Perez, Maria  Hsia, John S.
1992Kane, Stephen Mityagin, Boris
1992Kim, Jeongjin Ray-Chaudhuri, D.K.
1992Krandick, Werner Collins, George E.
1992Lang, Cheng-Lien Terman, David
1992Leclerc, Anthony  Moore, Ramon E.
1992Ling, Tianwen Friedman, Harvey M.
1992Liu, Kecheng Foreman, Matthew
1992Narayani, Lakshmi  Ray-Chaudhuri, D.K.
1992Raqab, Mohammad  Nagaraja, Haikady N.
1992Reyes, Noli  Baishanski, B.
1992Shaw, Hong-Min Ray-Chaudhuri, D.K.
1992Sheu, Shin-pyng Forest, M. Gregory
1992Spieler, Barry  Charney, Ruth M.
1992Zhao, Yue Robertson, Neil
1991Banaszak, Grzegorz Sinnott, Warren
1991Blanchard, John  Mityagin, Boris 
1991Brozovic, Douglas  Solomon, Ronald
1991Craighead, Robert  Carroll, F. W.
1991Dale, Wilbur Nolan Smith, Malcolm C.
1991Donahue, Michael  Mityagin, Boris
1991Johnson, Jeremy  Collins, George E.
1991Manoharan, Palanivel Burghelea, Dan
1991Mariasoosai, William Baishanski, Bogdan M.
1991Némethi, András Moscovici, Henri
1991O'Ryan Lermanda, Manuel Shapiro, Daniel
1991Prabaharan, Kanagarajah Sucheston, L. 
1991Reinhold-Larsson, Karin B. Rosenblatt, Joseph 
1991Voon, Shu-Nan Glover, Henry
1991Wang, Qi Forest, M.G.
1991Xiong, Chuyu Overman, Edward
1991Yan, Zhongde Edgar, Gerald
1990Chen, Lin Yesha, Y.
1990Chilakamarri, Kiran Babu Robertson, Neil
1990Druschel, Kimberly  Davis, M.
1990Forrest, Alan Hunter Bergelson, Vitaly 
1990Gajda, Wojciech Davis, M.W.
1990Iwakata, Yasushi Dowling, Thomas
1990Lari-Lavassani, Ali Lu, Yung-Chen
1990Lee, Doobum Burghelea, Dan
1990Lovri, Miroslav Derdzinski, A.
1990Prieto-Cox, Juan  Hsia, John S.
1990Rodriguez Villegas, Fernando Sinnott, Warren
1990Song, Yongjin Fiedorowics, Zbigniew
1990Szabo, Laszlo Sucheston, Louis
1990Tam, Laying Baishanski, Louis
1990Xia, Yining Glover, Henry H.
1990Yu, Jenn-Hwa Edgar, Gerald
1989Andaloro, Paul  Ferrar, Joseph C.
1989Anghel, Nicolae Moscovici, Henri
1989Bajnok, Bela Bannai, Eiichi
1989Bunge, John  Nagaraja, H.N.
1989Chen, Hua Burghelea, Dan
1989Kwok, Wing Man Bannai, Eiichi
1989Munemasa, Akihiro Bannai, Eiichi
1989Oporowski, Bogdan  Robertson, Neil
1989Peric, Goran Moscovici, Henri
1989Schram, Erin  Ray-Chaudhuri, D.K.
1989Wierdl, Mate Bergelson, Vitaly
1989Wu, Fangbing Moscovici, Henri
1988Bannai, Etsuko Hsia, John Sollion
1988Fiedler, Joseph Huneke, John P.
1988Ghanaat, Patrick Ruh, Ernst Alfred
1988Jha, Shing-Whu Nevai, Paul
1988Kim, Jae Moon Gold, Robert
1988Moussong, Gabor Davis, Michael W.
1988Reeder, Mark Stephen Avner, Dolnick Ash
1988Rzedowski Calderón, Martha Madan, Manohar Lal
1988Villa-Salvador, Gabriel Madan, Manohar Lal
1988Wimelaratna, Ramasinghege Davis, William Jay
1987Ali, Sayel  Baishanski, B.M.
1987Han, Sang-Geun Sinnott, Warren
1987Lang, Mong-lung Bannai, Eiichi
1987Ray, Phillip  Ferrar, J.C.
1987Song, Sung Yell Bannai, Eiichi
1987Vitray, Richard  Robertson, Neil
1986Batra, Sharat Wigen, Philip E. 
1986Bezdek, Andras Glover, Henry
1986Char, Shobha  Burghelea, Dan
1986Lee, Jong-Eao  Carroll, Francis
1986Manickam, Nachimuthu Bannai, Eiichi
1986Miklós, Dezsö Ray-Chaudhuri, D.K.
1986Sali, Attila Bannai, Eiichi
1986Weaver, Robert  Robertson, Neil
1985Bauldry, William  Nevai, Paul
1985Brackebusch, Ruth  Edgar, Gerald A. 
1985Burdick, Bruce  Huneke, Philip
1985Butts, Eric  Davis, William
1985Childress, Nancy  Gold, Robert
1985Cho, Chong-Man Johnson, William B. 
1985Choi, Sul-Young Bannai, Eiichi
1985Guan, Puhua Ash, Avner
1985Huang, Tayuan Bannai, Eiichi
1985Kim, Myung-Hwan Hsia, John S.
1985Narang, Kamal Harada, K.
1985Seress, Akos Ray-Chaudhuri, D.K.
1985Singer, Phyllis  Allen, Harry P.
1985Song, Hi Ja Davis, William J.
1984Brink, James  Gold, Robert
1984Chidume, Charles  Davis, William J.
1984Frangos, Nicholas Sucheston, Louis
1984Grove, John W., (John Whitaker) Davis, William
1984Hemmeter, Joseph Bannai, Eiichi
1984Hong, Yiming Bannai, Eiichi
1984Ku, Jong-Min Ferrar, Joseph C.
1984Sheen, Rong-Chyu Nevai, Paul
1984Wajima, Masayuki Harada, Koichiro
1984Woldar, Andrew  Solomon, Ronald
1982Bonan, Stanford  Nevai, Paul
1982Carothers, Neal  Davis, William
1982Cheng, Fuhua Baishanski, Bogdan
1982Costello, Patrick  Hsia, John S.
1982D'Mello, Joseph  Cronheim, Arno
1982Gross, Francis   Ksienski, Aharon A.
1982Johnson, Sandra  Glover, Henry H.
1982Kirschenbaum, Marc Glover, Henry H.
1982Mahoney, Carolyn  Dowling, Thomas A.
1982Oprea, John  Burghelea, Dan
1982Shan, Chin-Chi Baishanski, Bogdan
1982Shih, Ching-Hsien Robertson, Neil
1981Benham, James  Hsia, John S.
1981Brickell, Ernest  Ray-Chaudhuri, D.K.
1981DeLaurentis, John  Edgar, Gerald
1981Flinn, Patrick  Davis, William
1981Moon, Aeryung Bannai, Eiichi
1981Young, Elmer  Glover, Henry
1979Gearhart, Thomas  Levine, Norman
1979Huffman, William  Drobot, S.
1979Kahn, Jeffry  Ray-Chaudhuri, D.K.
1979Lichtin, Benjamin  Lu, Yung-Chen
1979Roth, Robert  Ray-Chaudhuri, D.K.
1979Valentini, Robert  Cronheim, Arno
1979Woltermann, Michael  Sehgal, Surinder K.
1978Anacker, Steven  Dowling, T.A.
1978Brewster, Stephen  Homer, William
1978Decker, Richard  Glover, Henry
1978Ford, David  Zassenhaus, Hans
1978Ko, Hai-Ping Dowling, T.A.
1978Lichtin, Benjamin  Lu, Yung Chen
1978Lovett, Jane  Ferrar, Joseph
1978Wang, Shinmin  Dowling, T.A. 
1978Yang, Liow-Jing Woods, Alan C.
1977Barnes, Martha  Wilson, Richard
1977LeFever, John  Ray-Chaudhuri, D.K. 
1977Liu, Chung-Der Baishanski, Bogdan
1977Nemzer, Daniel  Ray-Chaudhuri, D.K.
1976Alspach, Dale  Johnson, William B.
1976Astbury, Kenneth  Sucheston, L. 
1976Catlin, Paul Allen  Dowling, T.A. 
1976Chakravati, Kamal  Dowling, T.A.
1976Chang, Kuang-I Dowling, T.A.
1976Ching, Wai-Sin  Bostwick, F. Wyman 
1976Denig, William  Dowling, T.A. 
1976Gbur, Mary Flahive Divis, Bohuslav
1976Markot, Robert  Bannai, Eiichi
1976Pal, Sat Leitzel, James R.C.
1976Yoder, Jeffery  Mickle, Earl J.
1976Baker, Ronald  Dowling, T.A. 
1975Burell, Benjamin  Zibler, Joseph A.
1975Chan, Agnes  Ray-Chaudhuri, D.K.
1975Dennis, John  Mickle, Earl J.
1975Donaldson, John  Zassenhaus, Hans
1975Dor, Leonard  Johnson, William B.
1975Earnest, Andrew  Hsia, John S.
1975Johnson, Robert  Drobot, Stefan
1975Madden, Daniel  Madan, Manohar L.
1975Ploeger, Bernard  Baishanski, Bogdan
1975Scrandis, Ann  Zassenhaus, Hans
1975Sze, Michael Ming Chih Sucheston, L.
1975Trushin, David  Allen, Harry P.
1975Wang, Chin San Robertson, Neil
1974Assa, Steven  Harada, Koichiro
1974Dunham, William  Huneke, Philip
1974Howell, Russell  Bojanic, Ranko
1974Kuntz, Amy  Sucheston, Louis
1974Mayer, David  Brown, Harold
1974O'Neill, Larkin  Huneke, Philip
1974Higgins, RadaOn The Asymptotic Behavior Of Certain SequencesBojanic, Ranko
1973Bieberich, Richard  Baishanski, Bogdan
1973Coon, Lawrence  Riner, John W.
1973Hansen, Henry  Woods, Alan
1973Klippert, John  Eustice, Dan
1973Mertens, Robert  Ross, Arnold E.
1973McLean, Jeffery  Yaqub, Jill C.D.S.
1973Peterson, Roger  Hsia, John S.
1973Sommers, Dean  Crosswhite, F. Joe
1973Sprague, Alan  Ray-Chaudhuri, D.K.
1973Ulrey, Michael  Ahlswede, Rudolf
1973Vijayan, Kulakkatt  Ray-Chaudhuri, D.K.
1973Wang, Paul Tiing Kerr, Douglas S.
1973Winkler, William Sucheston, L.
1973Wong, Kwok Chi Brown, Robert
1972Agashe, Pushpa  Levine, N.
1972Delany, Matthew  Zassenhaus, Hans
1972Ekong, Victor  Bojanic, R.
1972Hovis, Robert  Levine, N.
1972Jurick, Robert  Trimble, Harold C.
1972Lee, You-Hwa  Bojanic, R. 
1972Merklen, Héctor  Zassenhaus, Hans
1972Molnar, Edward  Mislin, Guido
1972Pomaredo, Rolando  Janko, Z.
1972Raber, Neal  Cronheim, A.
1972Smith, Fredrick  Janko, Z.
1972Zahroon, Fike  Trimble, Harold
1971Datta, Biswa  Ray-Chaudhuri, D.K.
1971Nelson Engle, Jessie  Mickle, E.
1971Falk, Daniel Zassenhaus, Hans
1971Heiberg, Charles  Baishanski, Bogdan
1971Milles, Stephen  Trimble, Harold
1971McClure, Clair  Trimble, Harold
1971Karamanoukian, Zaven  Woods, A.C.
1971Lundgren, J. Richard Janko, Z. 
1971Pujara, Lakhpat  Dean, David
1971Richard, Howard  Trimble, Harold
1971Rosenblum, Lawrence  Woods, Alan
1971Sehnert, James  Woods, Alan
1971St. Andre, Richard Levine, N.
1971Terrell, Thomas  Kregnel, U.
1971Veith, Wilbur  Carroll, F.W.
1970Anderson, Osiefield Trimble, Harold
1970Biddle, James  Cronheim, A. 
1970Dudgeon, Charles  Whitney, D. Random
1970Gemma, James  Ahlswede, Rudolf
1970Hanigan, Francis  Uotila, Urho A.
1970Hill, David  Dean, David
1970Hogan, Guy  Cronheim, A.
1970Johnson, Charles  Zassenhaus, Hans
1970Klein, Albert  Levine, N.
1970Logan, J. David Drobot, S.
1970McFarland, Robert  Zassenhaus, Hans
1970Sachdeva, Usha Sucheston, Louis
1970Stager, William  Levine, Norman
1970Sonn, Jack Zassenhaus, Hans
1970Yanosko, Kenneth  Janko, Z.
1969Fong, Humphrey Sek-Ching Sucheston, L.
1969Haines, David  Levine, Norman
1969Hale, Douglas  Davis, William
1969Hern, Thomas  Shapiro, J.M.
1969Heuvers, Konrad  Drobot, Stefan
1969Hull, David Shapiro, J.M.
1969Kimble, Kenneth  Drobpt, Stefan
1969Krier, Nicholas  Yaqub, J.
1969Kunes, Laurence  Shapiro, J.M.
1969Liang, Joseph Jen-Yin Zassenhaus, Hans
1969Mathis, Robert  Saltzer, Charles
1969Meeks, Joseph Mickle, E.
1969Scott, Frank  Levine, Norman
1969Wee, Leben Li Levine, Norman
1969Wilson, R. M. Ray-Chaudhuri, D.K.
1968Block, Henry  Shapiro, J.M.
1968Bonar, Daniel  Carroll, F.W.
1968Brown, John  Kapp, Wolfgang
1968Girard, Dennis  Baishanski, Bogdan
1968Keck, David  Reichelderfer, P.V.
1968Koehl, Frederick  Carroll, F.W.
1968Konvisser, Marc  Kappe, Wolfgang
1968Lu, Yu-Mei Yu Trimble, Harold C.
1968Nachman, Louis  Levine, N. 
1968Parker, Donald  Kappe, Wolfgang
1968Phillips, Paul  Trimble, Harold C.
1968Plybon, Benjamin  Drobot, Stefan
1968Pu, Huay-min Huoh Helsel, R.G.
1968Queen, Clifford  Zassenhaus, Hans
1968Riggle, Timothy  Trimble, Harold C.
1968Shook, Thurston  Levine, N.
1968Sternbach, Leonard Dean, David W.
1968Whitford, Leslie  Baishanski, Bogdan
1967Caufield, Patrick  Levine, N.
1967DeVore, Ronald Bojanic, R.
1967Kimbleton, Stephen  Shapiro, J.M.
1967Klimko, Eugene  Sucheston, Louis
1967Klimko, Lawrence  Sucheston, Louis
1967Olson, John  Zassenhaus, Hans
1966Brown, Harold  Zassenhaus, Hans
1966Caid, Larry  Davis, William
1966Deever, David  Albian, Alexander
1966Holden, Lyman  Trimble, Harold C.
1966Hopkins, Mark  Mickle, E.
1966Nikolai, Paul  Saltzer, Charles
1966Steinlage, Ralph  Mickle, E.
1965Aggarwal, Satish  Bambah, R.P.
1965Breiter, Thomas  Levine, N.
1965Boonyasombut, Virool Shapiro, J.M.
1965Dumir, V. C. Bambah, R.P
1965Frazier, Thyrsa  Reichelderfer, Paul V.
1965Hans-Gill, R. J. Bamba, R.P.
1965Nelson, Larry  Rado, T.
1965Randels, James  Rado, T. 
1964Anderson, Charles  Kleinfeld, E.
1964Brabenec, Robert  Helse, R.G.
1964Brooks, James  Reichelderfer, Paul V.
1964Chaney, Robin  Reichelderfer, Paul V.
1964Houghton, Charles  Mickle, E. 
1964Maxwell, John  Reichelderfer, Paul V. 
1964Pu, Hwang Wen Helsel, R.G.
1963Coppage, William  Whitney, D.R.
1963Laffer, Walter  Mann, Henry B.
1963Lin, Shen Rado, T. 
1963McWorter, William  Abian, Alexander
1963Norris, Donald  Reichelderfer, Paul V.
1963Outcalt, David  Whitney, D.R.
1963Schaefer, Donald  Mickle, E.
1963Staley, David  Levine, N.
1962Dixon, Robert  Tull, J.P.
1962Duemmel, James  Reichelderfer, Paul V.
1962Hardy, F. Lane Kleinfeld, E.
1962Robison, Donald  Whitney, R.
1962Ryeburn, David Reichelderfer, Paul V.
1961Johnsen, Eugene  Ryser, H.J.
1961Leetch, James  Helsel, R.G.
1961Martino, Joseph  Whitney, D.R.
1960Craft, George  Reichelderfer, Paul V.
1960Weiler, Fred  Reichelderfer, Paul V.
1960Willke, Thomas  Whitney, D.R.
1959Maneri, Carl Kleinfeld, Erwin
1959McCulloh, Leon Mann, Henry B.
1959Menon, Manavazhi Mann, Henry B.
1959Nemitz, William Mickle, Earl
1958Haber, Robert  Ryser, H.J.
1958Silverman, Robert Whitney, D.R.
1958Thompson, Robert  Reichelderfer, Paul V.
1958Tinsley, Marion  Ryser, H.J.
1958Parker, Ernest  Hall, Marshall
1955Lin, Chio-Shih Mann, Henry B.
1955Parrish, Herbert Helsel, R.G.
1954Crowley, Thomas  Helsel, R.G.
1954Fadell, Albert  Rado, T. 
1954Neugebauer, Christoph  Mickle, E.
1954Zemlin, Richard  Hall, Marshall
1953Butts, Hubert  Mann, Henry B.
1953Dean, Richard  Hall, Marshall
1953Edwards, Miles  Mickle, E.
1953Evans, John  Lazar, Nathan
1953Hoy, Walter  Mann, Henry
1953Moranda Paul  Mann, Henry 
1953Sterbenz, Pat  Reichelderfer, Paul V.
1952Fadell, Edward  Reichelderfer, Paul V.
1952Levine, NormanAbsolutely Continuous Product Transformations Of The PlaneHelsel, R.G
1952Martin, E. Wainwright  Hall, Marshall
1952Mendenhall, Robert  Helsel, R.G.
1952Myers, William  Reichelderfer, Paul. V
1952Tinnappel, Harold  Mickle, E.
1951Marsaglia, GeorgeStochastic Processes And Classes Of Random VariablesMann, Henry
1950Hoyoke, ThomasAn Embedding Problem For Transitive Permutation GroupsHall, Marshall
1949Whitney, Donald RansomA Comparison of the Power of Nonparametric Tests and Tests Based on the Normal Distribution Under Nonnormal AlternativesMann, Henry
1949Colquitt, Landon A.On Paths Of Minimum Flight TimeBamforth, Frederic
1947Adney, Joseph Elliott Hall, Marshall
1947Miser, HughGeneralized Conformal Representations of Fréchet SurfacesRado, Tibor
1947William, ScottOn Essentially Absolutely Continuous TransformationsRado, Tibor
1946Woods, CecilA Restricted Class of Convex FunctionsRado, Tibor
1945Ayer, MiriamOn Convergence In LengthRado, Tibor
1943Huskey, HarryContributions to the Problem of GeoczeRado, Tibor
1942Goffman, CasperOn The Converses Of Certain Theorems On The Symmetric Structure Of Sets And FunctionsHenry Blumberg
1942Helsel, RobertA Geometrical Application of Intregal MeansRado, Tibor
1942Krabill, DavidSome Matrices Whose Elements Are Functions Of One VariableBamforth, Frederic
1942Westhafer, RobertSingular Solutions Of Ordinary Differential Equations Of The First OrderBamforth, Frederic
1941Mickle, EarlHamiltonian And Quasi-Hamiltonian Functions Associated With Double Integral Variation ProblemsLa Paz, Lincoln
1941Ringenberg, LawrenceOn Functions Of LawrenceRado, Tibor
1941Schart, WilliamConditions For Solutions Of Certain Differential Equations Which Have Specified PropertiesBamforth, Frederic
1941Young, PaulOn The Approximation of Functions By Integral MeansRado, Tibor
1940Cox, Jr., WilliamOn Cummutative Normal Matrices And Unitary Equivalence Of MatricesKuhn, Harry
1939Hammer, PrestonProjective Geometries Over A Pseudo-FieldRado, Tibor
1939Kato. ChosaburoConfiguration N Sub 3Rado, Tibor
1939Reichelderfer, PaulSome Properties Of Continuous Transformations In The PlaneRado, Tibor
1939Snyder, WalterOn Functions Of SquaresRado, Tibor
1939Tepletsky, BenjaminStability And Periodicity Of Solutions Of Mathieu's EquationBamforth, Frederic
1938Rodabaugh, LouisThe Solution of a Certain Linear Partial Differential Equation of the First OrderBamforth, Frederic
1937Kohlmetz, DorothyCertain Problems Of A Special Character In Convex FunctionsRado, Tibor
1936Bailey, AlsonAn Approach To The Study Of Conic Sections, Based On A Group Of Projective TransformationsRado, Tibor
1936Gleyzal, AndreOn Transfinite Real Numbers, General Orders, Riemannian And Finsler SpacesBlumberg, Henry
1936Hanson, EugeneA Theorem Of Denjoy, Young And Saks. Ii. The Tau LimitBlumberg, Henry
1936Hummel, PaulContinued Fractions And MatricesMacDuffee, Cyrus
1936Southard, ThomasOn Certain Projective Geometries and Their Relation to AlgebraRado, Tibor
1935Jenkins, EmersonThe Composition Of Quadratic FormsMacDuffee, Cyrus
1935Lewis, FredSome Properties Of An Infinite Class Of Collineation GroupsKuhn, Harry
1935Rinehart, RobertSome Properties Of The Discriminant Matrices Of A Linear Associative AlgebraMacDuffee, Cyrus
  • Conferences
  • Guide to graduate study
  • The qualifying exam
  • The qualifying exam syllabus
  • How to obtain copies of past PhD theses
  • Birkhoff library
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  • Senior faculty research interests
  • Some old qualifying exams
  • Graduation photos
Below is a list of PhD dissertations written by students at the Harvard Department of Mathematics. All scholars can order copies of most Harvard dissertations from 1982 to the present by contacting UMI/ProQuest at 1-800-521-3042. Permission of the author is usually required to copy theses within the last five years. Most PhD dissertations submitted from March 2012 forward are available online in Harvard's central open-access repository. Harvard affiliates with IDs and PINs can access the full text of most Harvard PhD theses since 1990 from the . of the Harvard Mathematics department.
Year Name Advisor Title
2019 Mark Kisin Slopes in eigenvarieties for definite unitary groups
2019 Michael Hopkins Real Orientations of Lubin-Tate Spectra and the Slice Spectral Sequence of a C4-Equivariant Height-4 Theory
2019 Mark Kisin The p-curvature conjecture for the non-abelian Gauss-Manin connection
2019 Curtis McMullen Trees, Berkovich spaces and the barycentric extension in complex dynamics
2019 Horng-Tzer Yau Spectral Statistics of Random d-regular Graphs
2019 Barry Mazur Ramification of the Hilbert Eigenvariety
2019 Joe Harris Stable log surfaces, trigonal covers, and canonical curves of genus 4
2019 Hugh Woodin The Ultrapower Axiom
2019 Martin Nowak Indirect Reciprocity with Optional Interactions and Private Information and Stochastic Evolution of Staying Together.
2019 Shing-Tung Yau Mirror Symmetry, Autoequivalences, and Bridgeland Stability Conditions
2018 Minicozzi Geometric Variational Problems for Mean Curvature
2018 Taubes Several compactness results in gauge theory and low dimensional topology
2018 S-T Yau Picard-Fuchs systems arising from toric and flag varieties
2018 S-T Yau Entire surfaces of prescribed curvature in Minkowski 3-space
2018 Kisin Geometric Properties of Families of Galois Representations
2018 H-T Yau Local statistics of Dyson Brownian motion
2018 M. Hopkins Variations on a Nilpotence Theorem of Hopkins and Mahowald
2018 M.Hopkins Some calculations of cobordism groups and their applications in physics
2018 Curtis McMullen Teichmüller curves in genus two: square-tiled surfaces and modular curves
2018 H.T. Yau Universality of random matrices with dependent entries
2018 Dennis Gaitsgory Nearby cycles of Whittaker sheaves
2017 Mark Kisin The stabilization of the Frobenius-Hecke traces on the intersection cohomology of orthogonal Shimura varieties
2017 Mark Kisin Mod-p isogeny classes on Shimura varieties with parahoric level structure
2017 Mark Kisin The p-curvature conjecture and monodromy about simple closed loops
2017 Michael Hopkins Symmetric Powers and the Equivariant Dual Steenrod Algebra
2017 Jacob Lurie Nilpotence and descent in stable homotopy theory
2017 Mark Kisin Integral canonical models for G-bundles on Shimura varieties of abelian type
2017 Mark Kisin A p-adic Jacquet-Langlands Correspondence
2017 Jacob Lurie The Lubin-Tate Theory of Spectral Lie Algebras
2016 Joe Harris Degenerations, Log K3 Pairs and Low Genus Curves on Algebraic Varieties
2016 Peter Kronheimer On the Framed Singular Instanton Floer Homology from Higher Rank Bundles
2016 Michael Hopkins Equivariant Weiss Calculus and Loop Spaces of Stiefel Manifolds
2016 Mark Kisin Algebraicity criteria and their applications
2016 Joe Harris Derived categories and birational geometry of Gushel-Mukai varieties
2016 Mark Kisin Galois Deformation Ring and Barsotti-Tate Representations in the Relative Case
2016 Alexei Borodin (MIT) q-deformed Interacting Particle Systems, RSKs and Random Polymers
2016 Benedict Gross On the Moy-Prasad filtration and stable vectors
2016 Joe Harris Complete Homogeneous Varieties via Representation Theory
2016 Benedict Gross On the Arithmetic of Hyperelliptic Curves
2015 Dick Gross A formula for some Shalika germs
2015 Clifford Taubes The moduli space of S1-Type zero loci for Z/2 Harmonic spinors in dimension 3
2015 Michael Hopkins Structures on Forms of K-Theory
2015 Dennis Gaitsgory Picard-Lefschetz oscillators for the Drinfeld-Lafforgue-Vinberg compactification
2015 Joe Harris Rational Curves on Hypersurfaces
2015 Dick Gross 2-Selmer groups and Heegner points on eliptic curves
2015 Alexei Borodin Several Theorems about Probabilistic limiting Expressions: The Gaussian free field, symmetric Pearcey process, and strong Szegö asymptotics
2015 Jacob Lurie Goodwillie approximations to higher categories
2015 Joe Harris Covers of an elliptic curve E and curves in E x P1
2015 Richard Taylor Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations
2015 Joe Harris Interpolation and vector bundles on curves
2015 Jacob Lurie The mod 2 homology of free spectral Lie algebras
2014 S.T Yau Arithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau Threefolds
2014 Joe Harris Relative Jacobeans of Linear Systems
2014 Dennis Gatisgory Chiral Principal Series Categories
2014 Joe Harris Regeneration of Elliptic Chains with Exceptional Linear Series
2014 RIchard Taylor Modularity of some elliptic curves over totally real fields
2014 Curt McMullen The geometry of the Weil-Petersson metric in complex dynamics
2014 Marc Kisin The Eigencurve is Proper
2014 Peter Kronheimer Symmetric Spaces and Knot Invariants from Gauge Theory
2014 Curtis McMullen The complex geometry of Teichmuller space
2013 Joe Harris Pencils of quadrics and Jacobians of hyperellipitc curves
2013 Benedict Gross Moduli of Galois Representations
2013 Benedict Gross On Newforms for Split Special Odd Orthogonal Groups
2013 Curt McMullen Entropy, dimension and combinatorial moduli for one-dimensional dynamical systems
2013 Yum-Tong Siu Holomorphically parametrized L2 Cramer's rule and its algebraic geometric applications
2013 Joe Harris The Geometry of Hurwitz Space
2013 Shing-Tung Yau Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing
2013 Noam Elkies Rational Point Counts for del Pezzo Surfaces over Finite Fields and Coding Theory
2012 Richard Taylor The Arithmetic of Simple Singularities
2012 Peter Kronheimer Towards an Instanton Floer Homology for Tangles
2012 Florian Pop Anabelian Intersection Theory
2012 Shing-Tung Yau Analysis of some PDEs over manifolds
2012 Curtis McMullen Mapping class groups, homology and finite covers of surfaces
2012 Peter Kronheimer Symplectic Rational Blow-Up and Embeddings of Rational Homology Balls
2012 Joe Harris Restrictions of Steiner bundles and divisors on the Hilbert scheme of points in the plane
2012 Joe Harris Alternate Compactifications of Hurwitz spaces
2012 Richard Taylor Local-Global Compatibility and the Action of Monodromy on Nearby Cycles
2012 Martin Nowak Mathematical Models of Cancer
2012 Dennis Gaitsgory D-modules on Spaces of Rational Maps and on Other Generic Data
2011 Pavel Etingof Representations of the rational Cherednik algebras
2011 Clifford Taubes Asymptotic spectral flow for Dirac operators of disjoint Dehn twists
2011 Shing-Tung Yau The Picard-Fuchs systems of Calabi-Yau complete intersections in homogeneous spaces
2011 Dick Gross The Local Langlands Correspondence for Tamely Ramified Groups
2011 Dennis Gaitsgory Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian
2011 Richard Stanley Combinatorial applications of symmetric function theory to certain classes of permutations and truncated tableaux
2011 Shing-Tung Yau Calabi-Yau Geometry and Higer Genus Mirror Symmetry
2011 Barry Mazur On Elliptic Curves, the ABC Conjecture, and Polynomial Threshold Functions
2011 Richard Taylor The Picard-Fuchs systems of Calabi-Yau complete intersections in homogeneous spaces
2011 Shing Tung Yau Existence of Hermitian-Yang-Mills Metrics under Conifold Transitions
2011 Shing-Tung Yau Quasi-local energy in General Relativity
2010 Noam Elkies K3 surfaces of high Picard number and arithmetic applications
2010 Noam Elkies Arithmetic of Elliptic Curves and Surface: Descents and Quadratic Sections
2010 Joseph Harris Moduli of singular curves and crimping
2010 Denis Auroux (MIT) A monoidal structure for the Fukaya category
2010 Horng-Tzer Yau Lower Bound for Ground State Energy of Dilute Bose Gas
2010 Noam Elkies Some combinatorial problems in vector spaces over finite fields
2010 Richard Taylor Modularity Lifting Theorems for Ordinary Galois Representations
2009 Shing-Tung Yau Geometry of complex Monge-Ampère equations
2009 Martin Nowak Evolutionary Dynamics in Structured Populations
2009 Richard Stanley Enumeration of the Distinct Shuffles of Permutations
2009 Cliff Taubes A Number Theoretic Result for Berge's Conjecture
2009 Joe Harris Good Completions of Neron Models
2009 Michael Hopkins Cubical Homotopy Theory and Monoidal Model Categories
2009 Michael Hopkins A generalization of a theorem of Ravenel and Wilson
2009 Barry Mazur Filament Geometry
2009 Richard Taylor Local Universal Deformation Lifting Spaces Of Mod L Galois Representations
2009 Shing-Tung Yau Pseudonorms and Theorems of Torelli Type for Birational Equivalence
2009 Joe Harris Subcanonical Points on Algebraic
2009 Michael Hopkins A Structures on Thom Spectra
2009 Richard Taylor On Potential Automorphy and other topics in Number Theory
2008 Joe Harris Compact Moduli of Singular Curves: A Case Study in Genus One
2008 Barry Mazur Selmer Growth and a Triangulordinary Local Condition
2008 Richard Taylor Arithmetic Compactifications of PEL-type Shimura Varieties
2008 Barry Mazur Algorithms for p-adic Cohomology and p-adic Heights
2008 Gerald Sacks Models with High Scott Rank
2008 Joe Harris Severi Varieties and the Moduli Space of Curves
2008 Joe Harris Covers of Elliptic Curves and Slopes of Effective Divisors on the Moduli Space of Curves
2008 Roman Bezrukavnikov (MIT) Weak Representation of Tangle Categories in Algebraic Geometry
2008 Cliff Taubes Investigation of J-holomorphic curves in M3 x S1
2007 Richard Taylor Counting points on Igusa varieties
2007 Martin Nowak Modeling the Effects of Population Structure and Vaccination Strategy on Infectious Diseases
2007 Barry Mazur The Exceptional Zero Conjecture For Hilbert Modular Form
2007 Peter Kronheimer A slice genus lower bound from sl(n) Khovanov-Rozansky homology
2007 Noam Elkies Minimal Heights and Regulators for Elliptic Surfaces
2007 Joe Harris Enumerative Geometry of Curves with Exceptional Secant Planes
2006 Shing-Tung Yau On Ordinary K3 surfaces over F
2006 Richard Taylor Weight Spectral Sequence and Hecke Correspondence on Shimura Varieties
2006 Shing-Tung Yau On the Geometry of Superstring with Torsion
2006 Peter Kronheimer Estimated Transversality And Rational Maps
2006 Richard Taylor Weights Of Galois Representations Associated To Hilbert Modular Forms
2006 Joe Harris On Zero-Dimensional Schemes with Special Hilbert Functions
2006 Martin Nowak Analysis of Probabilistic Models of Evolution
2006 Noam Elkies K3 surfaces of high rank
2006 Richard Taylor The Weight in Serre Type Conjecture for Tame n-Dimensional Galois Representations
2006 Wilfried Schmid The Degree 4 L-Function of an Automorphic Form of Full Level on the Rank 2 Real Symplectic Group
2006 Joe Harris Extending Families of Curves: Monodromy and Applications
2006 Curtis McMullen Euler Characteristics of Teichm?ller Curves in Genus Two
2005 Cliff Taubes Applications of Chiral Perturbation Theory
2005 Cliff Taubes Pseudoholomorphic Punctured Spheres in the Symplectization of a Quotient
2005 Shing-Tung Yau A Modular Non-Rigid Calabi-Yau Threefold
2005 Joe Harris Moduli Spaces of Curves with Linear Series and the Slope Conjecture
2005 Shlomo Sternberg Morphlets; A Multiscale Representation for Diffeomorphisms
2005 Richard Taylor Kato's Euler System and the Main Conjecture
2005 Richard Taylor Geometricity of Local p-Adic Representations
2004 Joe Harris Special Linear Series in P2
2004 Noam Elkies Elliptic Curves x + y = k with High Rank
2004 Cliff Taubes Perturbations of the D-bar Operator
2004 Barry Mazur Geometric and p-Adic Modular Forms of Half-Integral Weight
2004 Peter Kronheimer Contact Structures and Floer Homology
2004 Curtis McMullen Simple geodesics on hyperbolic surfaces and the volume of the moduli space of curves
2004 Shing-Tung Yau Intersection Theory on the Moduli Space of Stable Bundles via Morphism Spaces
2004 Peter Kronheimer A Spectrum Valued RQFT from the Seiberg-Witten Equations
2004 Curtis McMullen Complex Projective Structures
2004 Joe Harris Degenerations of scrolls and Del Pezzo Surfaces and Applications to Enumerative Geometry
2003 Benedict Gross The Fourier-Jacobi map and small representations
2003 Peter Kronheimer Floer Homology and Knot Complements
2003 Benedict Gross Central value of Rankin L-series over real quadratic fields
2003 Benedict Gross Quaternion Rings
2003 Barry Mazur Generalization of the Turan and the Erdos-Kac Theorems
2003 Shing-Tung Yau Deformations of G and Spin(7) Structures on Manifolds
2003 Noam Elkies Supersingular primes for rational points on modular curves
2003 Barry Mazur Local and global points on moduli spaces of abelian surfaces with potential quaternionic multiplication
2003 Shing-Tung Yau Li-Yau-Hamilton Estimate for the Ricci Flow
2003 Shing-Tung Yau Flops and Equivalences of derived Categories for Threefolds with only terminal Gorenstein Singularities
2002 Benedict Gross Hecke Algebra action on Siegel Modular Forms
2002 Barry Mazur On u-Invariants of Elliptic Curves over Q
2002 Cliff Taubes Closed Self-Dual Two-Forms on Four-Dimensional Handlebodies
2002 Richard Taylor On Certain Unitary Group Shimura Varieties
2002 Shing-Tung Yau Moduli of J-Holomorphic Curves with Lagrangian Boundry Conditions
2002 Wilfried Schmid A Localization Argument for Characters of Reductive Lie Groups
2002 Yum-Tong Siu Effective Schottky problem
2002 Curtis McMullen Holomorphic families of Rational Maps: Dynamics Geometry and Potential Theory
2002 David Kazhdan Fourier Transform for Quantized Completely Integrable Systems
2001 David Kazhdan Hodge Structure on the Fundemental Group and its Application to p-adic Integrarion
2001 Richard Taylor Modularity of some potentially Barsotti-Tate Galois representations
2001 Barry Mazur On the p-adic L-function of a Modular Form at a Supersingular Prime
2001 Richard Taylor Local Level-Raising for GL
2001 Barry Mazur Modular Varieties and Visibility
2000 Shing-Tung Yau The Global Nonlinear Stability of the Trivial Solution of the Einstein-Maxwell Equations
2000 Barry Mazur On Selmer groups of geometric Galois Representations
2000 Shing-Tung Yau Compact Manifolds with Exceptional Holonomy
2000 Joe Harris Rational Curves on Hypersurfaces in Pn
2000 Shlomo Sternberg Symmetric Space Valued Moment Maps
2000 Peter Kronheimer PU(2) monopoles on Kahler surfaces
2000 Richard Taylor On the Modularity of Certain 2-adic Galois Representations
2000 Noam Elkies New Bounds on Sphere Packings
2000 Raoul Bott Equivariant de Rham Theory and Statinary Phase Expansions
1999 Joe Harris Exact Rates of Convergence for Some Simple Non-Reversible Markocv Chains
1999 Cliff Taubes Configuration space and Monopoles for Yang-Mills-Higgs Theory on R /M
1999 Barry Mazur Flat Regular Models of Elliptic Schemes
1999 Joe Harris Monomial Ideals and Hilbert Schemes
1999 Barry Mazur Jacobians of Curves of Genus One
1999 Joe Harris Moduli Spaces of Curves with Marked Points
1999 Shing-Tung Yau Applications of Affine Differential Geometry to RP(2) Surfaces
1999 Cliff Taubes Dirac Operators on Loop Spaces
1999 Benedict Gross Models over Z for Locally Quasi-Split Algebraic Groups
1999 Shing-Tung Yau Picard-Fuchs Uniformation and Geometric Isomonodromic Deformations
1999 Joe Harris Moduli of curves with level structure
1999 Edward Frenkel Spectral Curves
1998 Richard Melrose (MIT) Microlocal Analysis of the Time-Dependent Schroedinger Operator
1998 Persi Diaconis Eigenvalue Distribution of Random Matrices in Permutation Group and Compact Lie Groups
1998 Shing-Tung Yau Generalized Harmonic Maps and Representations of Discrete Groups
1998 Shing-Tung Yau Topology of Birational Manifolds and Applications to Degeneration
1998 David Mumford Curvature Motions, Medial Axes and Distance Transforms
1998 Joe Harris Calculations on the Moduli Space of Genus Zero Covers
1998 Koszul Property and Bogomolov's Conjecture
1998 Benedict Gross Explicit Hecke Actions on Modular Forms
1998 Benedict Gross Traces of Hecke Operators
1998 Joe Harris Moduli Space of Enriched Stable Curves
1998 Benedict Gross Hecke rings of Groups over Local Fields
1998 Cliff Taubes Reidemeister Torsion in Generalized Morse Theory
1998 Benedict Gross Spin Representations and Lattices
1998 Benedict Gross Exceptional Theta Correspondences
1998 Barry Mazur 2-adic Modular Forms of Minimal Slope
1998 Barry Mazur Hilbert Modular Forms and the Galois Representations Associated to Hilbert-Blumenthal Abelian Varieties
1998 Benedict Gross Variation of capacity for Convex Domains in Euclidean Space
1997 David Kazhdan Integral Motives of Quadrics
1997 Joe Harris Enumerative Geometry of Curves via Degeneration Methods
1997 David Kazhdan Short Time Behavior of Logarithmic Derivatives of the Heat Kernel
1997 Joe Harris Moduli of Trigonal Curves
1997 Ehud Hrushovski Model Theory of Valued D-Fields
1997 Persi Diaconis Random Walks on Groups: Strong Uniform Time Approach
1997 Benedict Gross Abelian L-Functions Twisted by Algebraic Tori A+S=0
1997 Benedict Gross Exceptional Lie Groups and Lie Algebras
1997 Robert MacPherson A Generalization of Springer Theory using Nearby Cycles
1997 Persi Diaconis Probability in the Classical Groups over Finite Fields: Symmetric Functions Stochastic Algorithms and Cycle Indices
1997 Benedict Gross p-adic Gamma Functions
1997 Joe Harris Rational Curves of K3 Surfaces
1996 Persi Diaconis Socks and Boxes: Variations on Daniel Bernoulli's Marriage Problem
1996 Persi Diaconis Weighted Poincare and Exhaustive Techniques for Scaled Metropolis-Hastings Algorithms and Spectral total Variation Convergence Bounds in Infinite Commutable Markov Chain Theory
1996 David Kazhdan Biextension Weil Representations on Derived Categories and Theta Functions
1996 Persi Diaconis Berry-Essen Central Limit Theorem for Markov Chains
1996 Persi Diaconis Random Walks on the Symmetric Group Generated by Conjugacy Classes
1996 Shing-Tung Yau Wall Crossing Formula of Seiberg-Witten Invariants and Symplectic Four Manifolds with b+1=1
1996 Joe Harris Special Cubic Hypersurfaces of Dimension Four
1995 David Kazhdan Cohomology of compact Hyperkaehler Manifolds
1995 Persi Diaconis Methods for Quantifying Rates of Convergence for Random Walks on Groups
1995 Joe Harris The Grothendieck Quot Schemes and Composition Laws for Grassmannians
1995 David Kazhdan Minimal Representations of Exceptional p-adic groups
1995 Shing-Tung Yau On the Convergence of Kahler Metrics
1995 Persi Diaconis Topics in Probability on Compact Lie Groups
1995 Persi Diaconis Walks and Representation Theory
1995 Cliff Taubes A Mayer-Vietoris Principle for Monopoles
1994 Benedict Gross A-divisible Modules
1994 Barry Mazur Canonical Heights and Rational Points on Varieties with Many Elliptic Fibrations
1994 Wilfried Schmid Real Forms of Quantum Groups and Harish-Chandra Modules
1994 Raoul Bott Lie Algebra Cohomology and the Fusion Rules
1994 Joe Harris A Compactification over the Moduli space of Stable curves of the Universal Moduli Space pf Slope-Semistable Vector Bundles
1994 Joe Harris The Moduli Space of (3,3,3) Trilinear Forms
1994 Benedict Gross Multiplicities in restricted Representations of GL (F ) U (F ) and SO(F )
1994 Joseph Bernstein Fusion Categories
1994 Raoul Bott Some explicit Cocycles for Cohomology Classes of Groups of Diffeomorphisms Preserving a G-Structure
1994 Cliff Taubes Symplectic Geometry and the Relative Donaldson Invariants of the Conjugate Projective Plan
1994 Yum-Tong Siu An Effective Polynomial Bound for Base Point Freeness and Point Separation of Adjoint Bundles
1993 Cliff Taubes Essays on Vortices Knots and Monopoles
1993 Raoul Bott Group Actions and Cohomology
1993 David Kazhdan Graded Lie Algebras and conformal Field theories l: The Genus O Case
1993 Persi Diaconis Fast Transforms and Sampling for Compact groups
1993 J. Bernstein Formulas for Generalized Kazhdan-Lusztig Polynomials
1993 Shing-Tung Yau On Modular Invariants and Rigidity Theorems
1993 Shlomo Sternberg Hamiltonian Actions of Lie Groups
1993 Yum-Tong Siu Global Nondeformability of the Complex Hyperquadric
1993 Cliff Taubes On the ends of the monopole Moduli Space
1993 Benedict Gross The 2nd Descent for Certain Families of Mordell-Weil Lattices
1993 Victor Kac Differentiably Simple Lie Superalgebras
1993 Joe Harris On a Compactification of the Universal Picard variety over the Moduli space of Stable Curves
1993 Persi Diaconis Rates of Convergence of Markov Chains Related to Association Schemes
1992 Wilfried Schmid Dolbeault Cohomologies and Zuckerman Modules Associated with Finite Rank Representations
1992 Raoul Bott Extension of Self-Dual Yang-Mills Equations across the Eight Dimension
1992 Barry Mazur Higher-Order Characteristic Classes in Arithmetic Geometry
1992 David Kazhdan Homology of Schemes and covariant Motives
1992 Raoul Bott The Verlinde Formulas and Moduli Spaces of Vector Bundles
1992 Heisuke Hironaka Functional Smoothing of Morphisms in Equal Characteristic 0
1992 Persi Diaconis Rates of Convergence for Gibbs Sampler and other Markov Chains
1992 Barry Mazur Division Points on Semi-Abelian Varieties
1992 Benedict Gross A p-adic Computation of Singular Moduli
1992 Joe Harris Hilbert and Functions of Zero-Dimensional Schemes in Uniform Position
1992 Joe Harris On the Dimension of the Chow Varieties
1991 Cliff Taubes Yang-Mills Connections with Asymptotically Constant Curvature
1991 Barry Mazur Power-free Values of Polynomials
1991 Joe Harris On the Hyperplane sections of a Variety in Projective Space
1991 Joseph Bernstein Affine Kac-Moody Algebras at the Critical Level and Quantum Drinfield-Sokolov Reduction
1991 Benedict Gross Refined Class Formulas for Derivatives of L-Series
1991 Barry Mazur Weierstrass Points on Arithmetic Surfaces
1991 Barry Mazur An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces
1991 Joe Harris Subvarieties of Abelian Varieties and of Jacobians of Curves
1990 David Mumford Image Segmentation by Variational Methods and Elliptic Boundary Value Problems
1990 John Tate Refined Conjectures of the Birch and Swinnerton-Dyer Type
1990 Cliff Taubes Nonexistence of Almost Handebody Structures on Topological Four Manifold Pairs
1990 Joseph Bernstein Deligne's Conjecture in the Constant Coefficient Case
1990 Shing-Tung Yau Ricci Deformation of the Metric on Complete Noncompact Kahler Manifolds
1990 Barry Mazur Igusa Towers over Hilbert Modular Surfaces
1990 Mark Spivakovsky On Some Conditions of Regularity for Subanalytic Sets
1990 Shing-Tung Yau On Meromorthic Maps between Algebraic Varieties with Log-General Targets
1990 Shing-Tung Yau Construction of Stable Vector Bundle on Surface of Low 2nd Chern Classification
1990 Joe Harris Divisors on Some Moduli Spaces
1990 Persi Diaconis Rates of Convergence of Some Random Processes on Finite Groups
1990 John Tate Spaces of Rational Functions on Curves over Finite Fields
1989 Shing-Tung Yau Semipositive Threefolds and Threefolds with Universal covering C(3)
1989 Persi Diaconis Fast Fourier Analysis for Finite Groups
1989 Benedict Gross Shimura Curves Analogous to X (N)
1989 Benedict Gross Trilinear Forms for GL (2) of a Local Field and Epsilon Factors
1989 Raoul Bott Hilbert's Third Problem and the K Theory of Toric Varieties
1989 Raoul Bott Integral Homology of Real Flag Manifolds and Loop Spaces of Symmetric Spaces
1988 Heisuke Hironaka Newton Polyhedra without Coordinates
1988 Robin Hartshorne Cohomology of Normal bundles of curves in P and other Topics
1988 Raoul Bott Three Topics on Perturbation Analysis of Discrete Event Dynamic Systems
1988 Sing-Tung Yau Kaehler Metrics on Algebraic Manifolds
1988 Limit Multiplications of Cusp Forms
1988 The Behavior of Stability under Equivariant Maps
1988 Yum-Tong Siu Hyperbolic Surfaces
1988 Ordered and unordered Periodic Points of Maps
1987 John Tate Gamma Functions and Gauss Sums for Function Fields
1987 Wilfried Schmid Systems of Hodge Bundles and Uniformization
1987 Benedict Gross Lifting Endomorphisms of Formal Groups
1987 Barry Mazur Iwasawa theory at Multiplicative Primes
1987 Benedict Gross Heights and L-Series
1987 Barry Mazur Arithmetic of p-adic Modular Forms
1987 Arthur Jaffe Degree Theory of Wiener Maps and Supersymmetric Quantum Mechanics
1987 Nancy Ann Lynch (MIT) Topics in Distributed Algorithms
1987 Benedict Gross and Barry Mazur Supersingular Primes of a Given Elliptic Curve over a Number Field
1987 Barry Mazur Deformation theory of Galois Representations
1987 Raoul Bott Excursion in Cyclic Homology of Topological Algebras
1987 Wilfried Schmid Connections between Representations of Lie Groups and Sheaf Cohomology
1986 David Mumford Applications of Equivariant Morse Stratifications
1986 Nondegeneracy of Infinitesimal Invariants Associated to Normal Functions
1986 John Tate p-adic Periods as Moduli for Schottky Curves of Genus Two
1986 Shlomo Sternberg On Supergeometric Structures
1986 Shannon Entropy and the Central Limit Theorem
1986 Philip Griffiths On Local Torelli for Extremal Varieties
1986 Stability and Canonical Metrics in Infinite Dimensions
1986 Local Heightson Families of Abelian Varieties
1985 Heisuke Hironaka Sandwiched Singularities and the Nash Resolution for Surfaces
1985 Bounds on Irregularity of Surfaces of General Type
1985 David Mumford Prym Varieties and the Geodesic Flow on SO(n)
1985 Heisuke Hironaka Rank Conditions on Sub-Varieties of Grassmannians
1985 David Mumford Families of Rational Maps and Iterative Root-Finding Algorithms
1985 David Kazhdan On the Characters of the Representations of Division Algebras over a Weak Field
1985 Barry Mazur On the Canonical Closure of the Universal Elliptic Curve over Xl(n)
1985 Raoul Bott Functional Determinants and Applications to Geometry
1985 Yum-Tong Siu Positivity of the Curvature of the Weil-Petersson Metric on the Moduli Space of Stable Vector Bundles
1985 On Higher Order Conservation Laws
1985 Wilfried Schmid Special K-Types and the Beilinson-Bernstein Realization
1984 Raoul Bott Singularities in Moduli Spaces of Yang-Mills Fields
1984 Characterization of Jacobian Varieties in Terms of Soliton Equations
1984 Barry Mazur The Tate-Shafarevich Group of the Jacobian of a Quotient of the Fermat Curve
1984 Wilfried Schmid Discrete Characters on Non-Riemannian Symmetric Spaces
1984 Barry Mazur Analytic Multiplicity One Theorems for GL (n)
1984 Wilfried Schmid Hyperfunction Solutions of the Zero Rest Mass
1984 Barry Mazur On Zeta Functions Associated with the Space of Binary Cubic Forms with Coefficients in a Function Field
1984 David Mumford Compactification of Siegel Moduli Schemes
1984 Gerald Sacks B-Degrees for Weakly Inadmissible B
1983 Involutive Hyperbolic Differential Systems
1983 Barry Mazur Integral Points on Varieties
1983 David Mumford Construction of Holomorphic Differential Forms on the Moduli Space of Abelian Varieties
1983 David Mumford Hyperelliptic Curves and Solitons
1983 David Kazhdan Etale Cohomology and Arithmetic of Semisimple Groups
1983 David Mumford Topics in Algebraic Geometry
1983 An Analogy of the Penrose Correspondence for Representations of U(p,q) on L2-Cohomology
1983 David Kazhdan Theory of e-representations
1983 Shlomo Sternberg Integral Geometry on Compact Symmetric Spaces
1982 Barry Mazur Dirichlet Series Associated with the Space of Binary Cubic Forms with Coefficients in a Number Field
1982 John Tate The Neron-Tate Height On Elliptic Curves
1982 George Mackey Von Neumann Algebras Associated to Ergodic Actions of Countable Groups
1982 John Tate Algebraic Cycles on Abelian Varieties
1982 Barry Mazur On Certain Covers of the Universal Elliptic Curve
1982 Raoul Bott Homogeneous Connections and Yang-Mils Theory on Homogeneous Spaces
1982 Raoul Bott Hamiltonian Mechanics and Optimal Control
1982 Phillip Griffiths Special Fibers in Families of Plane Curves
1982 Gerald Sacks Independence Results Concerning Some Combinatorial Properties of the Continuum
1982 The Gauss Map and Isometric Embedding
1982 Heisuke Hironaka The Kahler Algebra and Analytic Equivalence of Isolated Hypersurfaces Singularities
1982 Heisuke Hironaka The Division Algorithm and the Hilbert Scheme
1981 Barry Mazur On Congruences Satisfied by Special Values of L-functions
1981 Gerald Sacks Aspects of E-Recursion
1981 On the Arithmetic of CM Elliptic Curves in Zp-Extensions
1981 Barry Mazur On J1(p) and the Arithmetic of the Kernel of the Eisenstein Ideal
1981 Barry Mazur On the Diophantine Arithmetic of Shimura Curves
1981 Raoul Bott Equivariant Morse Theory and Closed Geodesics
1981 Gerald Sacks Axiomatic Definitions of Programming Languages and Logics of Programs
1981 Akihiro Kanamori Iterated Perfect Set Forcing and Degrees of Constructibility
1981 Phillip Griffiths Hodge Theory
1981 John Tate Stark's Conjecture
1980 Phillip Griffiths Variation of Hodge Structure and the Local Torelli Problem
1980 Phillip Griffiths Semistable Degenerations of Enriques and Hyperelliptic Surfaces
1980 Andrew Gleason Stochastic Games: The Minmax Theorem
1980 Shlomo Sternberg Integral Geometry of Plane Complexes
1980 The Kaehler algebra and analytic equivalence of isolated hypersurface singularities
1979 Gerald Sacks Predicate-Oriented Database Search Algorithms
1979 Andrew Gleason Weakened Topologies for Lie Groups
1979 Phillip Griffiths Associated Curves and Plucker Formulas in Grassmannians
1978 Shlomo Sternberg Geometry of the Adjoint Representation of a Complex Semisimple Lie Algebra
1978 Andrew Gleason Zeros and Growth of Entire Functions of Order One and Maximal Type With an Application to the Random Signs Problem
1978 David Mumford Projective Stability of Ruled Surfaces
1978 David Mumford Quasi-Elliptic Surfaces in Characteristic Three
1978 Phillip Griffiths A Bound on the Geometric Genus of Projective Varieties
1978 John Tate Arithmetic on Elliptic Curves with Complex Multiplication
1978 The Applications of Algebraic K-Theory to Intersection Theory
1978 Barry Mazur Some Theorems on Azumaya Algebras
1978 Essential Singularities of Entire Analytic Varieties
1977 Richard Brauer Fusion in Nonabelian Groups of Order p3
1977 John Tate Some Results on Classical Eisenstein Series and Modular Forms over Function Fields
1977 John Tate On the Local Langlands Conjecture for GL(2)
1977 John Tate Orbital Integrals on GL3
1977 The Hodge Theory of Flat Vector Bundles on a Complex Torus
1977 Barry Mazur On p-adic Representations Arising From Descent on Abelian Varieties
1977 Barry Mazur P-adic Eisenstein Series for Function Fields
1977 John Tate A Comparison of the Automorphic Representations of GL (3) and its Twisted Forms
1977 Phillip Griffiths On the Geometry of Grassmannians
1977 Lars Ahlfors Deformations of Lie Groups and Lie Algebras
1977 John Tate Icosahedral Galois Representations
1977 Raoul Bott On the Smooth Cohomology of Groups of Diffeomorphisms
1976 Raoul Bott Refined Chern Classes for Foliations
1976 Heisuke Hironaka Deformations of L-cycles and the Chow Scheme
1976 David Mumford On Arithmetic Quotients of Bounded Symmetric Domains
1976 George Mackey Ergodic Actions of Product Groups
1976 Garrett Birkhoff Symmetry Groups of Partial Differential Equations
1976 Shlomo Sternberg Bernstein Polynomials and the Gauss-Manin Connection
1976 Barry Mazur Congruences Between Modular Forms and Implications for the Hecke Algebra
1976 Heisuke Hironaka Homology and Combinatorics of Ordered Sets
1975 George Mackey Ergodic Group Actions with Generalized Discrete Spectrum
1975 Shlomo Sternberg A Limit Theorem for Conditional Expectations with Applications to Probability Theory and Statistical Mechanics
1975 Phillip Griffiths Holomorphic Pseudogroup Structures on Quasiprojective Varieties
1975 Andrew Gleason Some Aspects of the Four Color Problem
1975 Analytic Theory of Elliptic Curves with Split Multiplicative Reduction over Complete Rings
1975 David Mumford On Degenerations of Algebraic Surfaces
1975 Raoul Bott Cohomology of Hamiltonian and Related Formal Vector Field Lie Algebras
1975 David Mumford Curvature on Algebraic Plane Curves
1975 Raoul Bott Continuous Cohomology of Spaces with Two Topologies
1975 Barry Mazur Diophantine and p-adic Analysis of Elliptic Curves and Modular Forms
1975 George Mackey Haar Measure and Convolution Algebras on Ergodic Groupoids
1975 David Mumford Cohomology of Flag Varieties on Characteristic p
1975 Barry Mazur Linking the Conjectures of Artin-Tate and Birch-Swinnerton-Dyer
1975 Richard Brauer On a Problem of E. Artin
1975 David Mumford Endomorphisms of Abelian Schemes
1975 Lynn Loomis Non-Linear Evolution Equations with Variable Norms
1975 Andrew Gleason Topics in Liftings and Stochastic Processes
1975 Andrew Gleason Small Rings in Critical Maps
1975 Phillip Griffiths Intrinsic Metrics and Measures on Compact Complex Manifolds
1975 David Mumford Polyhedral Reduction Theory in Self-Adjoint Homogeneous Cones
1975 Phillip Griffiths On the Theorem of Frenet
1974 Lynn Loomis Some Aspects of Balayage of Fourier Transforms
1974 David Mumford Deformations of Algebraic Varieties with Gm Action
1974 David Mumford P-adic Schottky Groups
1974 John Tate Two-descent for Elliptic Curves in Characteristic Two
1974 Shlomo Sternberg Ideals of Orbits of Nilpotent Lie Algebras
1974 Raoul Bott The Cohomology of Certain Algebraic Varieties
1974 Richard Brauer On a problem of E. Artin
1974 Frederick Mosteller Weak and Strong Averages in Probability and the Theory of Numbers
1974 Saunders Mac Lane On the Cohomology Theory of Fields
1974 On the 2-primary Part of K2O and on Z2-extensions for Imaginary Quadratic Fields
1974 Stability of the Cut Locus
1973 George MacKey Ergodic Affine Lebesgue G-Spaces
1973 Andrew Gleason Function Algebra Extensions and Analytic Structures
1973 Some Aspects of Balayage of Fourier transforms
1973 Subalgebras of Division Algebras
1973 Galois Action on Division Points of Abelian Varieties with Many Real Multiplications
1973
1973 David Mumford p-Adic Schottky Groups
1973 Raoul Bott Local Isomorphism of Riemannian Hermitian and Combinatorial Manifolds
1973
1973 Transversality Properties of Topologically Stable Mappings
1973 Combinatorial Aspects of Lattice Theory with Applications for the Enumeration of Free Distributive Lattices
1973 Shlomo Sternberg Topics on Universal Algebra
1973 David Mumford Valuative Criteria for Families of Vector Bundles on Algebraic Varieties
1973 Barry Mazur Universal Bounds on the Torsion and Isogenics of Elliptic Curves
1973 Andrew Gleason Interpolating Sequences in Polydisks
1973
1973
1973 Andrew Gleason Construction of Rings in Modular Lattices
1973 George Mackey On the Virtual Groups Defined by Ergodic Actions of R and Z
1973 Convergence from an Algebraic Point of View
1973
1973 Iwasawa Invariants in Z1 extensions of Number Fields
1972 The Bracket Ring and Combinatorial Geometry
1972 George Mackey Liftings in the Category of C* Algebras
1972 Triangulation of 3-Manifolds: A Piecewise Linear Approach
1972 John Coates Elliptic Curves of Prime Conductor
1972 Shlomo Sternberg Invariant Theory and the Cohomology of Infinite Lie Algebras
1972 David Mumford Non-singular Deformations of Space Curves using Determinantal Schemes
1972 John Tate Odd Perfect Numbers are Divisible by at least Seven Distinct Primes
1972 Local Cohomology Dimension of Algebraic Varieties
1972
1972 Andrew Gleason Direct Decompositions of Commutative Monoids
1972 David Mumford Towards Projectivity of the Space of Moduli of Stable Curves of a Given Genus
1972
1972 David Mumford A Study of Three-Dimensional Principally-Polarized Abelian Varieties
1972 Raoul Bott Curvature and the Eigenvalues of the Laplacian for Geometrical Elliptic Complexes
1972 Triangulations of Two Manifolds with Local Properties
1972 Thom Polynomials for Contact Class Singularities
1972 David Mumford Local Moduli of Abelian Varieties
1972 Cauchy Problems with Random Initial Values in the Space of Tempered Distributions
1971 General-Valued Polarities
1971 David Mumford Deformations of Branched Covers and Equisingularity
1971 Ordered Structures and Partitions
1971 Lynn Loomis Complex Involutory Banach Algebras
1971 John Tate The Non-vanishing of L(1) for Certain Elliptic Curves
1971 Round-off Error in the Numerical Solution of Retarded Ordinary Differential Equations
1971
1970 Lars Ahlfors Probabilistic Methods in Combinatorial Theory
1970 Andrew Gleason Properties of Isometrics and Almost Isometrics of Some Function Algebras
1970 Partial Algebras
1970 Raoul Bott Singularities of Maps and Characteristic Classes
1970 Numerical Invariants and Gamma Products of Graphs
1970 David Mumford Contributions to the Theory of Positive Embeddings in Algebraic Geometry
1970 Lars Ahlfors Special Moduli and Theta Relations
1970 Andrew Gleason Homologies and Elations of Finite Projective Planes
1970 Raoul Bott Orderings of Ultrafilters
1969 Andrew Gleason The Structure Space of a Choquet Simplex
1969 David Mumford Ordinary Singularities of Projective Varieties
1969 Barry Mazur On the Structure of Purely Inseparable Field Extensions
1969 Andrew Gleason Individuals in Zermelo-Fraenkel Set Theory
1969
1969 Andrew Gleason Functional Differential Equations with General Perturbation of Argument
1969 Richard Brauer Finite Linear Groups in Six Variables
1969 Mathematical Models of Economic Growth
1969 Numerical Invariants and Multiple Planes
1969
1969 David Mumford The Picard Scheme of a Quotient Problem
1969 Raoul Bott Cobordism
1969 Raoul Bott The Cohomology of the Complement of a Submanifold
1968 John Tate Abelian Varieties over Finite Fields
1968 Compactness in Relational Structures
1968 Barry Mazur Algebraic K of Vector Bundles
1968 On the Flat Cohomology of Finite Group Schemes
1968 P-adic Theta Functions
1968 Shlomo Sternberg Curvature and Metric
1968 The Structure of a Banach Algebra Invariant for Measure Preserving Automorphisms
1968 Nonunitary Representations and Harmonic Analysis of Some Solvable Lie Groups
1968 Shlomo Sternberg The Coholomogy Theory of Transitive Moduales over the Primitive Infinite Lie Algebras
1968 George Mackey Measures on Locally Compact Groups with Certain Transformation Properties
1968 Semigroup Product Formulas and Addition of Unbounded Operators
1968 David Mumford On the Structure of Locally Compact Groups
1968 Commuting Elements in Free Algebras and Related T+E225opics in Ring Theory
1967 Complete Abelian Groups and Direct Sum Decompositions
1967 Richard Brauer Finite Linear Groups in Seven Variables
1967 Lars Ahlfors The External Property of Certain Teichmüller Mappings
1967 John Tate On Automorphisms of Local Fields
1967 Andrew Gleason Approximation Theory on Compact Manifolds and Lie Groups with Applications to Harmonic Analysis
1967 David Mumford Abelian Varieties over a Perfect Field and Dieudonne` Modules
1967 The Conjecture of Birch and Swinnerton-Dyer for Constant Abelian Varieties over Function Fields
1967 Homemorphisms of Sn x Sl
1967 Andrew Gleason Radical Banach Algebras and Formal Power Series
1967 Shlomo Sternberg Overdetermined Systems of Analytic Partial Difference Equations
1967 Cohomology Rings of Commutative Formal Groups
1966 Existence Theorems for Surfaces of Constant Mean Curvature and Perturbations of a Liquid Globule in Equilibrium
1966 Andrew Gleason Powers of Maximal Ideals in Function Algebras
1966 Lynn Loomis Unbounded Normal Operators on Banach Spaces
1966 Raoul Bott Secondary Characteristic Classin K-Theory
1966 David Mumford On Hilbert Schemes
1966 On the Minimum Computation Time of Functions
1966 Topological Methods in the Algebraic Theory of Vector Lattices
1966 Lars Ahlfors Conformal Invariants for Condensers
1965 The Convergence of Difference Approximations to Cauchy Problems in the Space of Tempered Distributions
1965 Quasi-ordinary Singularities of Embedded Surfaces
1965 Raoul Bott Kunneth Formulas for Bordism Theories
1965 Classification of Demushkin Groups
1965 Oscar Zariski Toward a Numerical Theory of Ampleness
1965 Lynn Loomis Types of Completeness in Locally Convex Spaces
1965 Lynn Loomis Decomposition of Centrally Reducible and of Reducible Functionals
1965 Andrew Gleason Functions Resembling Quotients of Measures
1964 Richard Brauer Character Sums and Difference Sets
1964 John Tate Infinitesimal Deformations of Singularities
1964 Raoul Bott Formal Theory of Linear overdetermined Systems of Partial Differential Equations
1964 Richard Brauer Groups and Group Rings
1964 John Tate Curves over Discrete Valuation Rings
1964 Richard Brauer Characters and Systems of Subgroups
1964 Lynn Loomis Modules of Holomorphic Vector-Valued Functions
1964 Richard Brauer P-Solvable Linear Groups
1964 Raoul Bott Classification of certain Types of Spaces
1964 Integral Equations Associated with Hankel Convolutions
1964 Rational Approximations to Generalized Hypergeometric Functions
1964 Convolution Transforms whose Inversion Functions have Complex Roots
1963 Raoul Bott Categories in Homotopy Theory
1963 Enumerating p-Groups
1963 Convex Functions and Dual Extremum Problems
1963 John Tate Curves of Genus 3 over Characteristic 2
1963 Polynomial Bases for Compact Sets in the Plane
1963 Theory of Covering Spaces
1963 John Tate One-parameter Formal Lie Groups over p-adic Integer Rings
1963 Lynn Loomis Almost Periodic Functionals in the Conjugate Space of a Banach Algebra
1963 Lars Ahlfors Elementary Moduli for Teichmüller Space
1963 Andrew Gleason Natural Functors in Topology and Generalizations
1963 The Curves of Genus 3 Defined over Z/2Z
1963 Richard Brauer On Finite Linear Groups whose Order contains a Prime Larger than the Degree
1963 Applications of the Herbrand Theorem
1963 Raoul Bott Spaces of Paths on a Symmetric Space
1963 Richard Brauer On the Subgroups of SL (3,q)
1962 Richard Brauer On Ree's Series of Simple Groups
1962 Cohomology of Artinian Group Schemes over Local Fields
1962 The Shape of Level Loci of Green's Function and other Harmonic Functions
1962 Recursive Well Orderings and Transfinite Progressions
1962 Lynn Loomis Existence and Applications of Dimension Functions in Lattices
1962 Oscar Zariski Existence of the Moduli Scheme for Curves of any Genus
1962 Lars Ahlfors An External Length Problem and the Bilinear Relation on Open Riemann Surfaces
1962 Andrew Gleason Combinatorial Problems of Elementary Abelian Groups
1962 Lynn Loomis Atomic Orthocomplemented Lattices
1962 On the Global Existence of Solutions of Quasi-Linear Parabolic Equations
1962 Shlomo Sternberg Theory of Finite G-Structures
1962 Hierarchies in Recursive Function Theory
1962 On the Representations of C-Algebras
1962 Lars Ahlfors Teichmüller Spaces of Groups of the Second Kind
1962 The Asymptotic Behavior of Some Non-linear Autonomous Systems
1961 On Conformal Maps of Regions of Infinite Connectivity
1961 John Tate Cohomology of Abelian Varieties over Function Fields
1961 Lynn Loomis The Radon-Nikodym Theorem in Dimension Lattices
1961 On Differentials in Function Fields
1961 Raoul Bott Applications of Intersection Theory to Boundary Value Problems
1961 Raoul Bott The Lower Central Series for Free Group Complexes
1961 Some Results in the Cohomology Theory of Finite Groups
1960 Lars Ahlfors A Classification of Noncompact Surfaces
1960 John Moore Extensions and Cohomology Theory of Locally Compact Groups
1960 Minimal and Relatively Minimal Models for the Function Field of an Algebraic Surface
1960 George Mackey Multipliers on Abelian Groups
1960 Oscar Zariski On the Theory of Birational Blowing-Up
1960 A Characterization of Certain Banach Function Spaces
1960 Some Results on a Generalization of the Character Table of a Finite Group
1960 Truncated Policies in Dynamic Programming
1960 The Cohomology Ring of a Finite Group
1960 Oscar Zariski On Enriques' surfaces
1959 George Mackey On General Measure Theory
1959 Andrew Gleason A Characterization of Congruence Groups in Geometries of the Euclidean Type
1959 Richard Brauer On the Irreducible Modulat Representations of Finite Classical Groups
1959 Minimal Metric Spaces
1959 Lars Ahlfors Automorphisms and Coverings of Riemann Surfaces Mappings
1959 Richard Brauer On the Characters of Finite Solvable Groups
1959 Lars Ahlfors Inversion and Representation Theory of the Weierstrass Transform
1958 Richard Brauer The Representation of Finite Groups in Algebraic Number Fields
1958 Computable Functionals
1958 Andrew Gleason Closed Subalgebras of a Commutative Algebra over the Real Numbers
1958 Some aspects on Polynomial Approximation
1958 Mixed Cauchy Problems and C-Semigroups
1958 External Metrics for a Class of Varational Problems Related to Extended Length
1958 Richard Brauer A Generalization of a Theorem of Blichfeldt
1958 Andrew Gleason Some Theories on Transformation Groups
1958 Lynn Loomis Derivations in Commutative Semi-Simple Banach Algebras
1958 On the Homology of Local Rings
1958 Lars Ahlfors The Bilinear Relation on Open Riemann Surfaces
1957 Andrew Gleason On Fibre Spaces and Fibre Bundles
1957 Raoul Bott Regular Curves on Riemann Manifolds
1957 On Canonical Conformal Maps of Multiply Connected Regions
1957 Problems in the Distribution of the Prime Numbers
1956 On Generalized Tchebycheff Polynomials
1956 Andrew Gleason A Global Formulation of the Lie Theory of Transformation Group
1956 Generalized Lambert Transforms
1956 New Simple Lie Algebras
1955 The scattering of electromagnetic radiation by a cyclindrical shell of finite length
1955 Lars Ahlfors Variability Regions for the Univalent Functions and their Derivatives
1955 George Mackey Locally M-Convex Algebras
1955 Lars Ahlfors Conformal Invariants and Prime Ends
1955 On the generalization of the notion of H*-algebra: Complemented algebras
1955 Inversion of the Laplace and Stieltjes transforms utilizing difference operators
1955 Lars Ahlfors Contributions to the Problem of Type
1955 George Mackey Some Inequalities Related to Holder Inequality and Some Contributions to Lattice Theory
1955 Induced potentials
1955 Local uniformization of algebraic surfaces over modular ground fields
1954 Properties of a special set of entire functions and their respective partial sums
1954 Richard Brauer On Finite Groups Related to Permutation Groups of Prime Degrees
1954 Lars Ahlfors External Problems on Riemann Surfaces
1954 On approximation and interpolation by functions analytic in a given region and an application to orthonormal systems
1954 Geometric aspects of integration theory
1953 On distortion at the boundary of a conformal mapping
1953 Overconvergent Taylor Series and the zeros of related polynomials
1953 On some special order statistics from a multinomial distribution
1953 Axially symmetric stokes flows
1953 Lynn Loomis Spectral Theory for a Class of Non-Linear Operators
1953 The totality of curves of genus g
1953 L1-structure in Banach Spaces
1952
1952 A topological analysis of differential equations in the large
1952 Methods in the location of zeros of families of polynomials of unbounded degree in circles sectors and other regions
1952 The Fredholm Theory in Banach Spaces
1952 On the theorem of Bertini on the variable singular points of a linear system
1952
1951 On the harmonic analysis of certain groups and semi-groups of operators
1951 Lars Ahlfors Harmonic Functions on Open Riemann Surfaces
1951 On the Cohomology theory of associative algebras
1951 Some estimates for external distance
1951
1951
1950 Iterative methods for solving partial difference equations of elliptic type
1950 On the characterization of Reynolds operators on the normed algebra of all continuous real-valued functions defined on a compact Hausdorff space
1950 Lynn Loomis On the Generalization of the Notion of H*-Algebra: Complex Algebra
1950 Equivalence concepts on an algebraic curve
1950 Lars Ahlfors Transformations in Reproducing
1950
1950
1949 Lars Ahlfors Properties of Conformal Invariants
1949 Lars Ahlfors Representations of Finite Groups
1949 Hausdorff measure in abstract metric spaces
1948 Tensor fields associated with Lipschitz cochains
1948 The extensibility of local Lie groups of transformations and groups on surfaces
1948 Some problems in conformal mapping
1948 Joseph Walsh On the Degree of Approximation to Harmonic Functions by Harmonic Polynomials
1948 Lars Ahlfors Diophantine Aspects of Poincare Theta Functions
1947 Non-commutative integration and abstract differential equations
1947 Homology with operators and mapping theory
1947 The Moduli of univalence and of p-valence of functions analytic in the unit circle
1947 Some studies of functions of exponential type
1947 Axially symmetric harmonic functions
1947 The third iterate of the Laplace transform
1946 Multiplicative Riemann integration in normed rings
1945 On the solutions of ordinary linear homogeneous differential equations of the second order in the complex domain
1945 Topologies for spaces of transformations
1936-1945 MANY ENTRIES ARE MISSING
1936 Generalized derivatives and approximation by polynomials
1936 On the measure of the critical values of functions
1936 The linear homogeneous group modulo p
1935 Topics in the theory of critical points
1935 On interpolation and approximation to an analytic function by rational functions with preassigned poles
1935 Certain invariants of closed extremals
1935 Extensions of partially ordered sets
1935 The minimizing of a singular quadratic functional
1935 I. Interpolation in transforms of the roots of unity II. The Jacobi interpolation series on the lemniscate of convergence
1934 On a class of polynomials which minimize definite integrals
1934 On the planer points of an analytic surface
1934 The index form associated with an extremaloid
1934 A class of completely monotonic functions every positive power of which is also completely monotonic
1934 Topics in the theory of binary forms
1933 Parallelism and equidistance in Riemannian geometry
1933 Invariant methods in the infinitesimal geometry of surfaces
1933 The theory of tables of group characteristics
1932 The coloring of graphs
1932 On the derivations of Newtonian and logarithmic potentials near the acting masses
1932 On the degree of convergence and overconvergence of polynomials of best simultaneous approximation to several functions analytic in distinct regions
1932 On the double pendulum and similar dynamical systems
1932 Sufficient conditions in the problem of the calculus of variations in n-space in parametric form and under general end conditions
1932 Infinite systems if ordinary differential equations with applications to certain second order non-linear partial differential equations of hyperbolic type
1932 On rigid motions in four dimensions with applications to the Laguerre geometry of three dimensions
1932 The boundary values of analytic functions
1931 The Birkhoff fluid theory of electricity
1931 Invariant functions of conservative surface transformations
1931 The approximation of harmonic functions in three dimensions by harmonic polynomials
1930 On the theory of quadratic fields
1930 Contributions to the restricted problem of three bodies
1930 Existence of critical points of harmonic functions of three variables
1930 (a) Geodesics on a two-dimensional Riemannian manifold with periodic coefficients (b) Poincare's rotation number and Morse's type number
1930 (a) on the expansion of harmonic functions in terms of harmonic polynomials (b) On approximation to an arbitrary function of a complex variable by polynomials
1930 Some properties of genesubspaces of a Riemannian space
1930 The problem if the calculations in m-space with end points variable on two manifolds
1930 The cellular division and approximation of regular spreads
1929 On the differential geometry of surfaces in non-Euclidean space
1929 Singular points of second order systems of real differential equations
1929 The problem of n bodies
1929 Exterior motion in the restricted problem of three bodies
1929 Relations between the critical points of a real analytic function of n independent variables
1929 Fourier representations
1928 On the oscillation of harmonic functions
1928 On the location of the roots of the Jacobian of two binary forms and of the derivative of a rational function
1927 On the theory of linear differential equations of infinite order
1926 Ordinary linear homogeneous differential equations of order n and the related expansion problems
1926 Fundamental transformations of surfaces
1926 On rejection to infinity and exterior motion in the restricted Problem of Three Bodies
1926 The group characteristics of the general and special quaternary linear homogeneous groups
1926 Studies on the gyroscope
1925 Boundary value problems of the third order and the allied expansions
1925 Contributions to the theory of Riemann spaces
1924 Some mean-value theorems connected with Cote's Method of Mechanical Quadature
1924 Linear spaces and their fixed points.
1923 (a) on certain differential equations of the second order (b) on certain systems of differential equations containing a parameter
1923 On the theory of discrete varieties
1923 A method of series in elastic with applications (I) to circular plates of constant or variable thickness
1922 Expansion theorems for solution of a Fredholm homogeneous integral equation of the second kind with kernel of non-symmetric type
1922 (a) Developments associated with a boundary problem not linear in the parameter (b) the boundary problems and developments associated with a system of ordinary linear differential equations of the first order
1922 The equilong transformations of Euclidean space
1922 The general theory of the linear partial q-difference equation and of the linear partial difference equation of the intermediate type
1921 The determination of the coefficients in interpolation formulae and a study of the approximate solution of integral equations
1920 On the location of the roots of the Jacobian of two binary forms
1920 (a) Existence Theorems for the General Real Self-Adjoint Linear System of the Second Order (b) Oscillation Theorems for the Real Self-Adjoint Linear System of the Second Order
1919 The Geometry of a Non-Euclidean Line-Sphere Transformation
1919 On the Zeros of Solutions of Linear Differential Equations
1919 (a) On Linear equations with an Infinite Number of Variables (b) on Infinite Systems of Linear Integral Equations (c) Flexural Deflections and Statically Indeterminate Beams
1917 Certain types of geodesic motion on a surface of negative curvature
1917 Linear integro-differential equations with a boundary condition
1917 On rational approximations to an irrational complex number
1917 Curves invariant under point-transformations of special type
1916 Some problems connected with the linear connectivity of manifolds
1916 Systems of pencils of lines in ordinary space
1916 Some integral tests for the convergence and divergence of infinite series
1916 The hypergeometric difference equation
1915 Conformal transformation of curvilinear angles
1915 Problems in the theory of ordinary linear differential equations with auxiliary conditions at more than two points
1915 On the degree of convergence of Birkhoff's series
1914 The calculus of variations as the limit of a problem in minimizing an algebraic sum
1914 Su alcuni caratteri di una serie algebriea e la formola di de Jonquieres per serie qualsiasi
1913 On the functions of a complex variable defined by an ordinary differential equation of the first order and first degree
1913 An analytic treatment of the conic as an element of space of three dimensions
1913 Implicit functions defined by equations with vanishing Jacobian
1913 Oriented circles in space
1912 Problems connected with linear difference equations of the second order with special reference to equations with periodic coefficients
1911 Certain singularities of point-transformations in space of three-dimensions
1910 Vector functions of a point
1910 Volterra's integral equation of the second kind with discontinuous kernel
1909 On some problems in conformal mapping
1909 Certain singularities of transformations of two real variables
1908 On the theory of convergence factors and some of its applications
1908 The invariants of linear differential expressions
1907 A contribution to the theory of trigonometric and zonal harmonic series
1906 Brilliant points
1905 On the problem of analytic extension as applied to the functions defined by power series
1904 An arithmetic treatment of some problems in analysis situs
1903 Binary Families in a triply connected region with especial reference to hypergeometric families
1902 Regular singular points of a system of homogeneous linear differential equations of the first order
1901 On the invariants of quadratic differential forms
1901 The parametric representation of the neighborhood of a singular point of an analytic surface
1898 On linear differential equations of the third and fourth orders in whole solutions exist certain homogeneous relations
1898 The variation of latitude
1897 Systems of revolution and their relation to conical systems in the theory of Lame's products
1897 On the Roots of the hypergeometric and Bessel's Functions
1895 On the Properties of functions defined by the partial equation
1889 Bessel's Functions
1887 Surfaces having the principal radii of curvature at each point numberically equal but of opposite sign
1886 A contribution to the theory of the general equation of the sixth degree
1879 The investigation of the constants of the micrometirc apparatus of the Merz equatorial of the observatory of Harvard College together with the discussion of the observations of the satellites of Mars observed therewith
1873 The heat of the sun

Department of Mathematics

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  • Qingci An  (F. Lu) Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems
  • Letian Chen  (J. Bernstein) On Mean Curvature Flows coming out of Cones
  • Ben Dees  (C. Mese) On the Singular Sets of Harmonic Maps into F -Connected Complexes
  • Lili He  (H. Lindblad) The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes
  • Kalyani Kansal  (D. Savitt) Codimension one intersections between components of the Emerton-Gee stack for  GL 2
  • Quanjun Lang  (F. Lu) Learning kernels with nonlocal dependence in mean-field equations and the extension problem on Dirichlet space
  • Yujie Luo  (Y. Sire) Minimal log discrepancy and its applications in birational geometry
  • Keaton Stubis (D. Savitt) Eisenstein Series with Class Number Coefficients Constructed from the Weil Representation
  • Rong Tang  (Y. Sire) Nonlocal Filtration Equations and Fractional Curvature Flows
  • Xiangze Zeng (V. Shokurov) Boundedness of n -Complements on Algebraic Surfaces
  • Zehong Zhang  (F. Lu) Multi-agent systems: observability, classification and clustering prediction
  • Luochen Zhao  (Y. Sakellaridis) Topics in p -adic analysis
  • Tslil Clingman  (E. Riehl) Towards a theory of proof relevant categories
  • Zongyipoan Lin  (D. Savitt) Crystalline lifts of Galois representations
  • David Myers  (E. Riehl) Symmetry, Geometry, Modality
  • Caroline VanBlargan  (Y. Wang) Stability of Quermassintegral Inequalities
  • Junyan Zhang  (H. Lindblad) The Free-Boundary Problems in Inviscid Magnetohydrodynamics with or without Surface Tension
  • Jin Zhou  (M. Maggioni) Learning multiscale approximations of functions between manifolds
  • Daniel Fuentes-Keuthan  (E. Riehl) Goodwillie Towers of Infinity Categories and Desuspension
  • Xiaoqi Huang  (C. Sogge) Weyl formulae for Schrödinger operators with critically singular potentials
  • Hanveen Koh  (B. Smithling) Towards a conjecture of Pappas and Rapoport on a scheme attached to the symplectic group
  • Patrick Martin  (M. Maggioni) Multiplicatively Perturbed Least Squares for Dimension Reduction
  • Xiyuan Wang  (D. Savitt) Topics in Galois representations

Jordan Paschke  (C. Sogge) Uniform Weyl Asymptotics for Off-Diagonal Spectral Projections

  • Daniel Ginsberg  (H. Lindblad) The free boundary problem for Euler’s equations
  • Apurva Nakade  (N. Kitchloo) Manifold Calculus and Convex Integration
  • Cheng Zhang  (C. Sogge) Oscillatory Integrals and Eigenfunction Restriction Estimates
  • Zehua Zhao  (B. Dodson) Long time dynamics for nonlinear Schrödinger equations at critical regularity

Older Theses

  • Christopher Kauffman  (H. Lindblad) Global Stability for Charged Scalar Fields in Spacetimes close to Minkowski
  • Harry Lang  (M. Maggioni) Streaming Coresets for High-Dimensional Geometry
  • Tianyi Ren  (C. Sogge) Resolvent Estimates for the Laplacian in the Euclidean Space and on the Sphere
  • Shengwen Wang  (J. Bernstein) Some results on the entropy of closed hypersurfaces and topology through singularities in mean curvature flow
  • Emmett Wyman  (C. Sogge) Explicit bounds on integrals of eigenfunctions over curves in surfaces of nonpositive curvature
  • Ben Diamond  (C. Consani) Smooth Surfaces in Smooth Fourfolds with Vanishing First Chern Class
  • Chenyun Luo  (H. Lindblad) On the motion of the free surface of a compressible liquid
  • Yakun Xi  (C. Sogge) Kakeya-Nikondym Problems and Geodesic Restriction Estimates for Eigenfunctions.
  • Jon Beardsley  (J. Morava) Coalgebraic Structure and Intermediate Hopf-Galois Extensions of Thom Spectra in Quasicategories
  • Stephen Cattell  (N. Kitchloo) The Completion of Dominant K-Theory
  • Po-Yao Chang  (J. Spruck) S elf-shrinkers to the mean curvature flow asymptotic to isoparametric cones
  • Vitaly Lorman  (N. Kitchloo) Real Johnson-Wilson Theories and Computations
  • Kalina Mincheva  (C. Consani) Semiring Congruences and Tropical Geometry
  • Chenyang Su  (J. Spruck) Starshaped locally convex hypersurfaces with curvature and boundary
  • Jai Ung Jun  (C. Consani) Algebraic geometry over semi-structure and hyper-structure of characteristic one
  • John Ross  (W. Minicozzi) Rigidity Results of Lambda-Hypersurfaces
  • Jeffrey Tolliver  (C. Consani) Hyperstructures and Idempotent Semistructures
  • Xing Wang  (C. Sogge) Asymptotic Behavior of Spectrums for Elliptic Pesdodifferential Operators
  • Min Xue  (C. Sogge) Concerning the Klein-Gordon equation on asymptotically Euclidean manifolds
  • Junyan Zhu  (B. Shiffman) Hole Probabilities of SU(m+1) Gaussian Random Polynomials
  • Arash Karami  (B. Shiffman) Zeros of random Reinhardt polynomials
  • Matthew McGonagle  (W. Minicozzi) The Gaussian Isoperimetric Problem and the Self-Shrinkers of Mean Curvature Flow
  • Duncan Sinclair  (C. Mese) Heat Kernels on Riemannian Polyhedra and Heat Flows into NPC Manifolds
  • Hongtan Sun  (C. Sogge) Strichartz Estimates for Wave and Schrödinger Equations on Hyperbolic Trapped Domains
  • Tim Tran  (B. Shiffman) Continuity of the Asymptotics of Expected Zeros of Fewnomials
  • Xuehua Chen  (C. Sogge) An Improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature
  • Leili Shahriyari  (W. Minicozzi) Translating graphs by mean curvature flow
  • Peng Shao  (C. Sogge) Sobolev resolvent estimates for the Laplace-Beltrami operator on compact manifolds
  • Ling Xiao  (J. Spruck) Flow Problems in Hyperbolic Space
  • Sinan Ariturk  (C. Sogge) Concentration and vanishing of eigenfunctions on a manifold with boundary
  • Caleb Hussey  (W. Minicozzi) Classification and analysis of low index mean curvature flow self-shrinkers
  • Jingzhou Sun  (B. Shiffman) Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds
  • Joseph Cutrone  (V. Shokurov) Symmetric Sarkisov Links of Fano Threefolds
  • Michael Limarzi  (T. Ono) On a Cohomological Study of Heisenberg Groups over The Ring of Algebraic Integers
  • Longzhi Lin  (W. Minicozzi) On the existence of closed geodesics and uniqueness of weakly harmonic maps
  • Nicholas Marshburn  (V. Shokurov) Smooth Weak Fano Threefolds
  • Xin Yu  (C. Sogge) Strichartz Estimates and Strauss Conjecture on Various Settings
  • John Baber  (B. Shiffman) Scaled correlations of critical points of random sections on Riemann surfaces
  • Romie Banerjee  (J. Boardman, S. Wilson) Real Johnson-Wilson theories and non-immersions of projective spaces
  • Jonathan Dahl  (C. Mese) Existence and structure of solutions of Steiner problems in optimal transport
  • Stephen Kleene  (W. Minicozzi) Singular behavior of minimal surfaces and mean curvature flow
  • Susama Agarwala  (J. Morava) The geometry of renormalization
  • Abhishek Banerjee  (C. Consani) Nearby cycles, Archimedean complex and periodicity in cyclic homology
  • Christine Breiner  (W. Minicozzi) Embedded minimal surfaces of finite topology and one end
  • Yifei Chen  (V. Shokurov) Strong rational connectedness of toric varieties
  • Jing-Cheng Jiang  (C. Sogge) Bilinear Strichartz estimates in two dimensional compact manifolds and cubic nonlinear Schrödinger equations
  • Hamid Hezari  (S. Zelditch) Eigenvalues and eigenfunctions of Schrödinger operators: Inverse spectral theory; and the zeros of eigenfunctions
  • Siddique Khan  (W. Minicozzi) Embedded minimal disks with curvature blow-up on a line segment
  • Joel Kramer  (W. Minicozzi) Embedded minimal spheres in 3-manifolds
  • Reza Seyyedali  (R. Wentworth) Balanced metrics in Kahler geometry
  • Thomas Wright  (T. Ono) On convergence of singular series for a pair of quadratic Forms
  • Patrick Zulkowski  (C. Mese) The Plateau problem in Alexandrov spaces satisfying the Perel’man conjecture
  • Benjamin Baugher  (S. Zelditch) Statistics of critical points in Kahler geometry and string theory
  • Sung Rak Choi  (V. Shokurov) The geography of log models and its applications
  • Brian Macdonald  (B. Shiffman) Statistics of non-real zeros and critical points of systems of real random polynomials in several variables
  • Shuai Wang  (T. Ono) On a certain triple system, elliptic curves and Gauss theory of quadratic forms
  • Qi Zhong  (S. Zelditch) Energies of zeros of random sections on Riemann surfaces

Scott Zrebiec  (B. Shiffman) Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions

  • Ann Stewart  (C. Sogge) Existence theorems for some nonlinear hyperbolic equations on a waveguide
  • Hsin-Hao Su  (J. Boardman) The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)
  • Giuseppe Tinaglia  (W. Minicozzi) Multi-valued Graphs In Embedded Constant Mean Curvature Disks
  • Mike Krebs  (R. Wentworth) Toledo Invariants on 2-Orbifolds
  • Eun-Kyoung Lee  (T. Ono) On Certain Cohomological Invariants of Algebraic Number Fields
  • Brian Dean  (W. Minicozzi) Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds
  • Seok-Min Lee  (T. Ono) On Certain Cohomological Invariants of Quadratic Number Fields
  • Sirong Zhang  (W. Minicozzi) Curvature Estimates for Constant Mean Curvature Surfaces in Three Manifolds
  • Xiangjin Xu  (C. Sogge) Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem
  • Byungchul Cha  (C. Popescu) Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves
  • Jason Metcalfe  (C. Sogge) Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle

Jung-Jo Lee  (J. Shalika) Bounding Ranks of Elliptic Curves

  • Jihun Park  (V. Shokurov) Fano Fibrations Over a Discrete Valuation Ring
  • Ramin Takloo-Bighash  (J. Shalika) The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group
  • Takeshi Torii  (J. Morava) One Dimensional Formal Group Laws of Height N and N-1
  • Alexandru Tupan  (V. Kolyvagin) Congruences for Modular Forms
  • Hemin Yang  (J. Boardman, W. Wilson) The Hit Problem for w (4) over F 2  by Differential Operator Algebra
  • Ivan Cheltsov  (V. Shokurov) Log Models of Birationally Rigid Varieties
  • Joshua Neuheisel  (S. Zelditch) The Asymptotic Distribution of Nodal Sets on Spheres
  • Diego Socolinsky  (J. Spruck) A Variational Approach to Image Fusion
  • Terutake Abe  (V. Shokurov) Classification of Exceptional Surface Complements
  • Florin Ambro  (V. Shokurov) The Adjunction Conjecture Applications
  • Satyan Devadoss  (J. Morava) Tessellations of Moduli Spaces and the Mosaic Operad
  • Heuisu Ryu  (V. Kolyvagin) Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves
  • Guoling Tong  (J. Shalika) The Shimura Integral and the Standard L-function of U(3)

Recent PhD Theses - Applied Mathematics

 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014  | 2015 | 2016  | 2017 | 2018  | 2019  | 2022 | 2023 | 2024

PhD Theses 2024

Author Title
Hank Chen
Stephanie Abo
Ala' Alalabi

Liang Chen

Alexey Smirnov
Mengyao Zhang
Yuan Wang

Chuanzheng Wang

PhD Theses 2023

Author Title  
Donovan Allum

Maxwell Fitzsimmons

Maria-Eftychia Papageorgiou

Esha Saha

Zhanlue Liang

Dorsa Mohammadrezaei

Aditya Jain 
Cameron Meaney
Panagiotis Tsimiklis
Julian Smith-Roberge
Vahid Nourian

PhD Theses 2022

Author Title  
James Petrie

Yiming Meng

Mana Donganont
Russell Milne

Alison Cheeseman

Qiaoyin Pan
Krishna Dutt
Andrew Grace
Keegan Kirk
Brydon Eastman
Benjamin Lovitz

PhD Theses 2019

Author Title  
Yangang Chen               

Kamran Akbari
Lindsey Daniels
Kevin E.M. Church
Chengzhu Xu

PhD Theses 2018

Author Title  
Julian Rennert 
Andrew Giuliani
Ian Hincks
Daniel Puzzuoli
David Deepwell 
Tahmina Akhter

PhD Theses 2017

Author Title  
Cong Wu

Monjur Morshed

Alexander James Maxwell Howse

Zhen Wang 

Kexue Zhang

Mikhail Panine

Keegan Keplinger

Subasha Wickramarachchi

Jared Penney

Sepideh Afshar

Ali Mahdipour Shirayeh

           

PhD Theses 2016

Author Title  

Giuseppe Sellaroli

Robert H. Jonsson

John Lang                          

John Yawney

Kristopher Rowe

Manda Winlaw                            

Anton Baglaenko       

PhD Theses 2015

Author Title  

Taghreed Sugati

Wilten Nicola

Herbert Tang

Noel Chalmers
Puneet Sharma

Daniel Otero

Sina Khani

Ilona Anna Kowalik-Urbaniak                      

PhD Theses 2014

Author Title  
Michael Dunphy
Peter Stechlinski
Colin Phipps
Andree Susanto
Derek Steinmoeller
Venkata Manem
Alex Shum

PhD Theses 2013

Author Title  
József Vass
Andrijana ​Burazin
Nancy Soontiens
Amenda Chow
Rasha Al Jamal
Wentao Liu  
Minghua Lin
Killian Miller

PhD Theses 2012

Author Title  
Rahul Rahul
Ruibin Qin
Dominique Brunet
Yasunori Aoki
Easwar Magesan
Christopher Ferrie
Dhanaraja Kasinathan
Wai Man NG
Matthew Johnston

PhD Theses 2011

Author Title  
Raluca Jessop                                                                            
Yufang Hao
Mohamad Alwan
Yanwei Wang
Christopher Subich
Timothy Rees
Volodymyr Gerasik

PhD Theses 2010

Author Title  

Jun Liu                         

Kathleen Wilkie                              

Sean Speziale

Nataliya Portman

PhD Theses 2009

Author Title  
Rudy Gunawan
Gibin George Powathil                      
Matthew Calder

PhD Theses 2008

Author Title  
Gregory Mayer
Cedric Beny
Lijun Wang
Kahrizsangi Ebrahimi
Robert Martin                                 

PhD Theses 2007

Author Title  
Shannon Kennedy
Alexander Korobov                
Qing Wang
Duncan Mowbray
Donald Campbell

mathematics doctoral dissertation

Dissertations and Placements 2010-Present

Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste First Position:  Assistant Professor at Murray State University

Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington

Sumun Iyer Thesis: Dynamics of non-locally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh

Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University

Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley

Prairie Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University

Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own start-up in the math education technology space

Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton

Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology

Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group  Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies

Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models  Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant

Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University

Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington

Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC

Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University

Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington

Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University

Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University

Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University

Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine

David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky

Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université

Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute

Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota

Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal

Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa

Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology

Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine

Aleksandra Niepla Thesis:  Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross

Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group

Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania

Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College

Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University

Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz

Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria

Beihui Yuan Thesis:  Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University

Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago

Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management

Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance

Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University

Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota

Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs

Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia

Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign

Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading

Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA

Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One

Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison

Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University

Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com

Ian Pendleton Thesis:  The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm

Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft

Yujia Zhai Thesis:  Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes 

Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis

James Barnes Thesis:  The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College

Jeffrey Bergfalk Thesis:  Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico

TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna

Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba

Eduard Einstein Thesis:  Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)

Balázs Elek Thesis:  Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto

Kelsey Houston-Edwards Thesis:  Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College

My Huynh Thesis:  The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.

Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position:  Postdoctoral Associate at UFT (University Toronto)

Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute

Aliaksandr Patotski Thesis:  Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft

Ahmad Rafiqi Thesis:  On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil

Ying-Ying Tran Thesis:  Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher

Drew Zemke Thesis:  Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University

Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties  Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group

Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft

Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo

Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes

Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey

Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky

Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University

Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg

Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut

Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma

Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University

Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology

Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University

Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up

Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia 

Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas

Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of

David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore

Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France

Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore

Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC

Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University

Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University

Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher

Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland

Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs

Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense

Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University

Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy

Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft

Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan

Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago

Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University

Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network

Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto

Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine

Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario

Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow

Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track

Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto

Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College

Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft

Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs

Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis 

Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan

Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University

Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology

Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University

Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University

Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University

Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University

Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester

Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP

Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto

Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto

Mihai Bailesteanu  Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester

Owen Baker  Thesis:  The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University

Jennifer Biermann  Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University

Mingzhong Cai  Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison

Ri-Xiang Chen  Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China

Denise Dawson  Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University

George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind

Samuel Kolins  Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College

Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind

Ho Hon Leung  Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai

Benjamin Lundell  Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington

Eyvindur Ari Palsson  Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester

Paul Shafer  Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University

Michelle Snider  Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland

Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand

Russ Thompson  Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute

Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College

Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College

Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University

Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University 

Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard

Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University

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  • Mathematics, PhD

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The department offers the doctor of philosophy degree with a major in mathematics and a master of arts degree in mathematics.

The PhD degree requires proficiency in basic and advanced graduate mathematics and the completion of a dissertation containing a significant piece of original research in some area of mathematics. The scope of the research program in mathematics is broad. The PhD specialty and dissertation may be in any area of mathematics, including but not limited to algebra, algebraic geometry, applied mathematics, combinatorics, computational mathematics, complex analysis, differential equations, differential geometry, dynamical systems, harmonic analysis, logic, mathematical biology, number theory, probability, and topology. A complete list of faculty and their areas of expertise is available through the department website .

Students in the PhD program also have the option to earn a master of arts degree .

Please consult the table below for key information about this degree program’s admissions requirements. The program may have more detailed admissions requirements, which can be found below the table or on the program’s website.

Graduate admissions is a two-step process between academic programs and the Graduate School. Applicants must meet the minimum requirements of the Graduate School as well as the program(s). Once you have researched the graduate program(s) you are interested in, apply online .

Graduate Admissions Requirements
Requirements Detail
Fall Deadline December 15
Spring Deadline This program does not admit in the spring.
Summer Deadline This program does not admit in the summer.
GRE (Graduate Record Examinations) Not required but may be considered if available.
English Proficiency Test Every applicant whose native language is not English, or whose undergraduate instruction was not exclusively in English, must provide an English proficiency test score earned within two years of the anticipated term of enrollment. Refer to the Graduate School: Minimum Requirements for Admission policy: .
Other Test(s) (e.g., GMAT, MCAT) The GRE subject test in Mathematics is optional but may be considered if available.
Letters of Recommendation Required 3

Admission is competitive. Applicants to the PhD program are automatically considered for financial support. For more information about applications, see the department's admission website .

Graduate School Resources

Resources to help you afford graduate study might include assistantships, fellowships, traineeships, and financial aid.  Further funding information is available from the Graduate School. Be sure to check with your program for individual policies and restrictions related to funding.

Program Resources

Prospective students should see the program website for funding information .

Minimum Graduate School Requirements

Major requirements.

Review the Graduate School minimum academic progress and degree requirements , in addition to the program requirements listed below.

Mode of Instruction

Mode of Instruction
Face to Face Evening/Weekend Online Hybrid Accelerated
Yes No No No No

Mode of Instruction Definitions

Accelerated: Accelerated programs are offered at a fast pace that condenses the time to completion. Students typically take enough credits aimed at completing the program in a year or two.

Evening/Weekend: ​Courses meet on the UW–Madison campus only in evenings and/or on weekends to accommodate typical business schedules.  Students have the advantages of face-to-face courses with the flexibility to keep work and other life commitments.

Face-to-Face: Courses typically meet during weekdays on the UW-Madison Campus.

Hybrid: These programs combine face-to-face and online learning formats.  Contact the program for more specific information.

Online: These programs are offered 100% online.  Some programs may require an on-campus orientation or residency experience, but the courses will be facilitated in an online format.

Curricular Requirements

University General Education Requirements
Requirements Detail
Minimum Credit Requirement 51 credits
Minimum Residence Credit Requirement 32 credits
Minimum Graduate Coursework Requirement 51 credits must be graduate-level coursework. Refer to the Graduate School: Minimum Graduate Coursework (50%) Requirement policy: .
Overall Graduate GPA Requirement 3.00 GPA required. Refer to the Graduate School: Grade Point Average (GPA) Requirement policy: .
Other Grade Requirements No additional grade requirements.
Assessments and Examinations Students are required to pass at least two qualifying exams. At least one qualifying exam must be passed by the beginning of the fourth semester (the spring semester of the second year). Both qualifying exams must be passed by the beginning of their sixth semester (the spring semester of the third year).

Students must pass a preliminary exam (specialty exam) by the end of the eighth semester (end of fourth year).

Students must satisfy all the requirements for dissertator status by the end of the eighth semester (end of fourth year).
Language Requirements No language requirements.
Graduate School Breadth Requirements All doctoral students are required to complete at least a 12-credit doctoral minor or graduate/professional certificate. Refer to the Graduate School: Breadth Requirement in Doctoral Training policy: .

Required Courses

Students must take a total of 51 graduate credits, or generally 18 courses. This includes courses in math and in breadth. In the PhD program, math courses numbered above 700 are for graduate credit. Math courses below 700 must be approved by the academic advisor.

There are five general and overlapping areas of specialization 1 within the department:   

  • Algebra, Algebraic Geometry, Combinatorics and Number theory
  • Analysis, Differential Equations and Probability
  • Applied and Computational Mathematics
  • Geometry, Topology, and Dynamics

There is also a specialty in Mathematics Education 1 . The course requirement is the same as for the other specialties except that the required 51 credits should include 18 credits in courses that relate to mathematics education, and at least one of the courses must be on research techniques in education. The 18 credits may come (wholly or in part) from courses included in breadth.

These pathways are internal to the program and represent different curricular paths a student can follow to earn this degree. Pathway names do not appear in the Graduate School admissions application, and they will not appear on the transcript.

Graduate School Policies

The  Graduate School’s Academic Policies and Procedures  provide essential information regarding general university policies. Program authority to set degree policies beyond the minimum required by the Graduate School lies with the degree program faculty. Policies set by the academic degree program can be found below.

Major-Specific Policies

Prior coursework, graduate credits earned at other institutions.

With program approval, students in the PhD program are allowed to transfer no more than 19 credits of graduate coursework from other institutions. Coursework earned ten years or more prior to admission to a doctoral degree is not allowed to satisfy requirements.

Undergraduate Credits Earned at Other Institutions or UW-Madison

No more than 7 credits from an undergraduate degree are allowed to transfer. Coursework must be at a graduate level and must request program approval. Coursework earned ten years or more prior to admission to a doctoral degree is not allowed to satisfy requirements.

Credits Earned as a Professional Student at UW-Madison (Law, Medicine, Pharmacy, and Veterinary careers)

Refer to the Graduate School: Transfer Credits for Prior Coursework policy.

Credits Earned as a University Special Student at UW–Madison

With program approval, r efer to the Graduate School: Transfer Credits for Prior Coursework policy.

Refer to the Graduate School: Probation policy.

  • Good standing (progressing according to standards; any funding guarantee remains in place).
  • Probation (not progressing according to standards but permitted to enroll; loss of funding guarantee; specific plan with dates and deadlines in place in regard to removal of probationary status).
  • Unsatisfactory progress (not progressing according to standards; not permitted to enroll, dismissal, leave of absence or change of advisor or program).

Advisor / Committee

Students who are not yet working with a dissertation advisor are required to meet semiannually with their academic advisor. All students must have a dissertation advisor by the end of the sixth semester.

Credits Per Term Allowed

15 credits. Minimum of 6 per semester, other than dissertators.

Time Limits

Students must complete all program requirements within eight years of beginning the program . Extensions have to be approved by the program.

Refer to the Graduate School: Time Limits policy.

Grievances and Appeals

These resources may be helpful in addressing your concerns:

  • Bias or Hate Reporting  
  • Graduate Assistantship Policies and Procedures
  • Office of the Provost for Faculty and Staff Affairs
  • Employee Assistance (for personal counseling and workplace consultation around communication and conflict involving graduate assistants and other employees, post-doctoral students, faculty and staff)
  • Employee Disability Resource Office (for qualified employees or applicants with disabilities to have equal employment opportunities)
  • Graduate School (for informal advice at any level of review and for official appeals of program/departmental or school/college grievance decisions)
  • Office of Compliance (for class harassment and discrimination, including sexual harassment and sexual violence)
  • Office Student Assistance and Support (OSAS)  (for all students to seek grievance assistance and support)
  • Office of Student Conduct and Community Standards (for conflicts involving students)
  • Ombuds Office for Faculty and Staff (for employed graduate students and post-docs, as well as faculty and staff)
  • Title IX (for concerns about discrimination)

Students should contact the department chair or program director with questions about grievances. They may also contact the L&S Academic Divisional Associate Deans, the L&S Associate Dean for Teaching and Learning Administration, or the L&S Director of Human Resources.

  • Professional Development

Take advantage of the Graduate School's  professional development resources to build skills, thrive academically, and launch your career. 

  • Learning Outcomes
  • Learn a substantial body of mathematics in introductory and research level graduate courses in mathematics.
  • Complete a dissertation under the guidance of an advisor. The dissertation should make an original and substantive contribution to its subject matter.
  • Demonstrate breadth within the learning experiences.
  • Present research in seminar talks, conferences or publications.
  • Communicate complex ideas in a clear and understandable manner.
  • Foster ethical and professional conduct.

Please visit the Math Department website for a complete list of faculty and instructional academic staff .

  • Requirements

Contact Information

Mathematics College of Letters & Science math.wisc.edu

Kathie Brohaugh, Graduate Coordinator [email protected] 608-263-8884 203 Van Vleck Hall 480 Lincoln Dr., Madison, WI 53706

Autumn Kent, Director of Graduate Studies [email protected]

Tullia Dymarz, Director of Admissions [email protected]

Graduate Program Handbook View Here

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Natural Sciences and Mathematics

Mathematical sciences.

Trellis geometry

PhD Dissertations in Mathematics

Year of GraduationStudentSupervising ProfessorDissertation Title
2023Nisha YadavAnh TranTHE ALGEBRAIC GEOMETRY OF CHARACTER VARIETIES OF DOUBLE TWIST LINKS
2023Russell HartYifei LouSparsity, Graph Neural Networks and Uncertainty Quantification
2023Bradley MeyerAnh TranLEFT ORDERABILITY OF CYCLIC BRANCHED COVERS OF RATIONAL KNOTS 
2023Nishamani Lashika RajapakshaJanos TuriOPTIMAL CONTROL OF HUMAN BALANCE MODELS WITH REFLEX DELAY
2023Hari Prasad SitaulaCarlos ArrecheAlgorithms to Compute Discrete Residues of a Rational Function
2022Sabindra Singh BalViswanath RamakrishnaINVESTIGATION INTO HIGHER DIMENSIONAL ROTATIONS
2022Josean Albelo-CortesOleg MakarenkovANALYSIS OF PLASTIC DEFORMATIONS IN LATTICE SPRING MODELS
2022Jorge GarciaTomoki OhsawaSTABILIZATION OF NONHOLONOMIC EULER–POINCARÉ MECHANICAL SYSTEMS WITH BROKEN SYMMETRY BY CONTROLLED LAGRANGIANS
2022Ali Ahammed MozumderSusan Minkoff and John ZweckMODELING AND SENSITIVITY ANALYSIS FOR TRACE GAS SENSORS
2022Jonathan PopaSusan Minkoff and Yifei LouSEISMIC DATA RECONSTRUCTION WITH LOW-RANK TENSOR OPTIMIZATION 
2022Adrian MurzaZalman BalanovPeriodic Solutions to Reversible Second Order Autonomous DDES in Prescribed Symmetric Nonconvex Domains
2022Augustine AnnanJanos TuriForecasting Stock Price Movements and Stock Trading Automation Using Deep Learning and Reinforcement Learning
2022Buddhika JayawardanaTomoki OhsawaGeometric Integrators for Non-Separable Hamiltonian Systems
2022Nirjal SapkotaJanos TuriStability and bifurcation analysis of a delay differential equation modeling the human respiratory system
2022Priyojit PalitNathan WilliamsDual Braid Presentations and Cluster Algebras
2022Subas AcharyaDmitry Rachinskiy and Alain BensoussanAnalysis of Real Options and Wealth Management Problems using Non-smooth Variational Inequalities and Asymptotic Methods
2022Vrushaly ShinglotJohn ZweckCOMPUTATION AND STABILITY ANALYSIS OF PERIODICALLY STATIONARY PULSES IN A SHORT PULSE LASER
2022Xiaoli YeWieslaw KrawcewiczExistence and Spatio-Temporal Patterns of Periodic Solutions to Non-Autonomous Second Order Equivariant Delayed Systems
2021Abdoulaye ThiamJanos TuriON INVENTORY CONTROL PROBLEMS WITH LEARNING
2021Aleksandr MilogorodskiiDmitry Rachinskiy and Michael RudermanA Deterministic Model for Non-Monotone Relationship Between Translation of Upstream and Downstream Open Reading Frames
2021Alsadig AliLuis Felipe PereiraMULTISCALE SAMPLING FOR SUBSURFACE CHARACTERIZATION
2021Behshid KasmaieMohammad AkbarSymmetries of Einstein’s Equations in Vacuum and their Geodesics
2021Cesar ContrerasTomoki OhsawaControlled Lagrangians and Stabilization of Euler-Poincaré Mechanical Systems with Broken Symmetry
2021Che-Yu WuMieczyslaw DabkowskiCoefficients of Catalan States of Lattice Crossing
2021Diarisoa Mihaja RakotomalalaMieczyslaw DabkowskiB–TYPE CATALAN STATES OF LATTICE CROSSING
2021Fariba Khoshnasib Zeinabad Vladimir DragovicSOME TOPOLOGICAL ASPECTS OF INTEGRABLE RIGID BODY DYNAMICS
2021Fatih GelirVish RamakrishnaIDENTIFICATION OF LINEAR CONTROL SYSTEMS VIA  
GRADIENT DESCENT
2021Izuchukwu Amos EzeWieslaw KrawcewiczExistence and bifurcation of sub-harmonic solutions in reversible non-autonomous differential equations
2021Mehdi AkhavanYifei LouPHASE RETRIEVAL BY ALTERNATING DIRECTION METHOD OF MULTIPLIERS
2021Mengqi HuYifei LouA General Framework of Non-Convex Models for Sparse Recovery with Applications
2021Prosper AkrobotuMohammad AkbarQUANTUM SEARCH ON MOLECULAR GRAPHS AND WORD-REPRESENTABLE LINE GRAPHS
2021Rajendra K. C. KhatriYan CaoCELL NUCLEI SEGMENTATION USING DEEP LEARNING TECHNIQUES
2021Samiha RoufDmitry Rachinskiy and Jana KopfovaDynamics of Sir Model with Switching Transmission Rate and Vaccination Rate Characterized by a Relay System or Preisach Operator
2021Siyuan WangYan CaoBi-tensor Free Water Model with Positive Definite Diffusion Tensor and Fast Optimization
2020Abdullah Al MamunLuis Felipe PereiraAn Assessment of Markov Chain Monte Carlo Methods for Fluid Flow Forecasting in the Subsurface
2020Georgia StuartSusan Minkoff and Luis Felipe PereiraComputationally Efficient methods for Uncertainty Quantification in Seismic Inversion
2020Het MankadLuis Felipe PereiraThe Multiscale Perturbation Method for Two-Phase Flows in Porous Media
2020Ivan GudoshnikovOleg MakarenkovON THE STABILITY OF MOREAU’S SWEEPING PROCESS WITH APPLICATIONS TO NETWORKS OF ELASTOPLASTIC SPRINGS
2020Joseph BurnettWieslaw Krawcewicz and Zalman BalanovGlobal Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays
2020Md Abu HelalViswanath RamakrishnaMATHEMATICAL METHODS FOR ADVANCED PROBLEMS OF INVENTORY CONTROL
2020Md Arafat KhanAnh TranLeft Orderability of Dehn Surgery on Odd Classical Pretzel Knots
2020Md Mujibur ChowdhurvYifei LouFractional-Order Total Variation Based Image Denoising, Deconvolution, and CT Reconstruction Under Poisson Statistics
2020Samreen KhanViswanath RamakrishnaPolar and Givens Decomposition and Inversion of the Indefinite Double Covering Map
2020Samson FolarinViswanath RamakrishnaReservoir Characterization of Non Gaussian Field Using Combined Ensemble Based Method
2020Sonam LamaJohn Zweck and Matthew GoecknerThe Stochastic Weighted Particle Method for the Computation of the low Probability Tail of the Velocity Distribution in Spatially Homogeneous Plasmas
2019Anani Adabrah KomlaVladimir DragovicQUADRICS IN PSEUDO-EUCLIDEAN SPACES, INTEGRABLE BILLIARDS AND EXTREMAL POLYNOMIALS
2019Charles ChikaM. Ali HooshyarA NON-ITERATIVE CONSTRUCTION OF A CLASS OF 2-D WAVE    SPEED FROM FORWARD SCATTERING DAT
2019Irina BerezovikWieslaw KrawcewiczClassification of Nonlinear Vibrations in Symmertric Molecules: Equivariant Degree Method
2019Pavel KravetcDmitry RachinskiyAPPLICATIONS OF TOPOLOGICAL AND PERTURBATION  METHODS TO ANALYSIS OF PERIODIC SOLUTIONS IN DELAY-DIFFERENTIAL EQUATIONS: CLASSIFICATION OF SYMMETRIES, ASYMPTOTIC APPROXIMATION AND STABILIZATION
2019Roger F. RanomenjanaharyVladimir DragovicGEOMETRIC AND COMBINATORIAL PROPERTIES OF NETS IN PLANE AND HIGHER-DIMENSIONS
2019Shi YuWieslaw KrawcewiczEXISTENCE AND BIFURCATION OF PERIODIC SOLUTIONS IN SECOND ORDER NONLINEAR SYSTEM: BROUWER EQUIVARIANT DEGREE METHOD
2018Artur SafinJohn Zweck and Susan MinkoffModeling Trace Gas Sensors with the Coupled Pressure-Temperature Equations
2018Edward HootonDmitry Rachinskiy and Zalman BalanovExistence and Stabilization of Periodic Solutions in Equivariant Systems
2018Filip JevticVladimir DragovicCombinatorial Structure of Finite Metric Spaces
2018Hao-Pin WuZalman Balanov and Wieslaw KrawcewiczApplications of Degree Theory to Dynamical Systems with Symmetry (with special focus on Computational Aspects and Algebraic Challenges)
2018Jordan KaderliSusan MinkoffAn Analytic Solution to a coupled system of equations for Modeling Photoacoustic Trace Gas Sensors and a full Waveform Inversion Approach to Microseismic Source Information
2018Lakmi N. W. AchchigeOleg MakarenkovStability, Bifurcation, and Continuation Theory for Perturbed Sweeping Processes
2017Eyram KwameDmitry RachinskiyMathematical Modeling for Applications in Economics
2017Isnardo Arenas-NavarroSusan Minkoff and Stefano LeonardiNumerical Simulations for Turbulent Drag Reduction Using Liquid Infused Surfaces
2017Pedro Perez-NageraJanos TuriNumerical Solutions for a Class of Singular Neutral Functional Differential Equation
2016Emily HerzigViswanath RamakrishnaSpin Groups and Exponentiation
2016Sonny SkaaningJanos Turi and Alain BensoussanInventory Control with Pricing Optimization in Continuous Time
2016Yanping ChenJohn Zweck and Matthew GoecknerComputational Modeling of Collision Processes in Low Temperature Plasmas
2015Farzan JafehMieczyslaw Dabkowski and Zalman BalanovCongruence Principle for Brouwer Degree of Equivariant Maps between Solvable Group Representation Spheres
2015Yanli LvWieslaw KrawcewiczNew Equivariant Methods and Applications to Symmetric Differential Equations
2015Zachary ElewitzTobias HaggeDetection of the Reidemeister 2-Move Via Generalized Polyak Invariants
2014Changsong LiMieczyslaw DabkowskiMultiplicative Structure on KBSM of I-Bundle Over a Disk with Three Punctures
2014Zhichao LiWieslaw KrawcewiczSymmetric Systems of Implicit Functional Differential Equations:  Existence of Solutions and Bifurcation Results
2013Minh P. NguyenYan Cao Shape Analysis Using Geometric Features and Diffeomorphic Deformation
2013My Linh NguyenZalman BalanovSymmetric Boundary Value Problems for Vector Nonlinear Pendulum Equation: Equivariant Degree Approach
2012Ajaya PaudelM. Ali HooshyarAn Inverse Scattering Problem for the Two Dimensional Helmholtz Equation 
2011Billye CheekMieczyslaw DabkowskiKauffman Bracket Skein Module for the Disk Sum of A x S1 and A x I
2011Brady McCaryYan CaoUser-Interactive Level Set Image Segmentation
2010Jigarkumar PatelJanos Turi Elastic Structures with Defects
2010Keerthi P. K. ChandrasekaranJanos Turi Optimal Control of Piecewise Smooth Systems
2010Saroj PradhanJanos TuriThe Role of Peripheral and Central Chemoreceptors in Stability of the Human Respiratory System
2009Noureen KhanMieczyslaw Dabkowski New Variants of Links in S3 Preserved by 4-Moves
2008Yasmin AnsariViswanath RamakrishnaMatrix Theory Motivated by Quantum Mechanics and Engineering
2007Ramanjit SahiMieczyslaw DabkowskiTangle Replacement Moves on Links
2006Hong ZhouViswanath RamakrishnaParameterizations of Unitary and Positive Matrices in Quantum Information Control
2006Nermine El-SissiViswanath RamakrishnaPositive Definite Kernels and Lattice Paths
2005Fred CostaViswanath RamakrishnaStructured Matrix Calculations via Quaternions
2005Lena LasaterM. Ali HooshyarInverse Problems of Electromagnetic Obstacle Scattering and the Method of Lines 
2005Taras OdushkinJanos Turi Mathematical Models of Atomic Scale Deformations and Spatial Nonuniformities in Solid Bodies
2003David SeidaJanos Turi Estimation of Attitude Parameters from Variation in Image Overlap
2002Kathryn FloresViswanath RamakrishnaClassical and Quantum Controls from Decomposition of Unitary Matrices

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

2023   2022   2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits

Anne Sophie Rojahn –  Localised adaptive Particle Filters for large scale operational NWP model

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)

Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)

Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)

Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)

Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)

Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)

Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)

Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)

R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)

G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)

C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)

L. Bennetts - Wave scattering by ice sheets of varying thickness

M. Preston - Boundary Integral Equations method for 3-D water waves

J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)

D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)

S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)

J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)

L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems

M. Hunt - Unique extension of atomic functionals of JB*-Triples

D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications

T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill

C. Hughes - On the topographical scattering and near-trapping of water waves

B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems

D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows

M. Henderson - Extending the edge-colouring of graphs

K. Allen - The propagation of large scale sediment structures in closed channels

D. Cariolaro - The 1-Factorization problem and same related conjectures

A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples

D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling

S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction

C. Johnson - Information Content of Observations in Variational Data Assimilation

M.A. Wakefield - Bounds on Quantities of Physical Interest

M. Johnson - Some problems on graphs and designs

A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts

R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems

J.V. Morgan - Numerical Methods for Macroscopic Traffic Models

M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling

M. Martin - Data Assimilation in Ocean circulation models with systematic errors

K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations

J. Hudson - Numerical Techniques for Morphodynamic Modelling

A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .

C.J.Smith - The semi lagrangian method in atmospheric modelling

T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow

M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.

P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.

M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors

P. Sims - Interface Tracking using Lagrangian Eulerian Methods.

P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.

B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.

S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.

I. Sciriha - On Some Aspects of Graph Spectra.

P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.

J.F. Goodwin - Developing a practical approach to water wave scattering problems.

N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.

L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.

A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .

J. Bryans - Denotational semantic models for real-time LOTOS.

I. MacDonald - Analysis and computation of steady open channel flow .

A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.

S.M. Allen - Extended edge-colourings of graphs.

M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.

C.J. Chikunji - On the classification of finite rings.

S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.

D.J. Staziker - Water wave scattering by undulating bed topography .

K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .

D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .

M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .

M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .

S.M. Stringer - The use of robust observers in the simulation of gas supply networks .

S.L. Wakelin - Variational principles and the finite element method for channel flows. .

E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .

C.P. Reeves - Moving finite elements and overturning solutions .

A.J. Malcolm - Data dependent triangular grid generation. .

Digital Commons @ University of South Florida

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Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2024 2024.

The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan

On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest

Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo

Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain

Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang

Theses/Dissertations from 2023 2023

Statistical Analysis of Ribonucleotide Incorporation in Human Cells , Tejasvi Channagiri

Matrix Models of 2D Critical Phenomena , Nathan Hayford

Data-Driven Learning Algorithm Via Densely-Defined Multiplication Operators and Occupation Kernels. , John Kyei

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Recovering generators of principal ideals using subfield structure and applications to cryptography , William Youmans

Theses/Dissertations from 2022 2022

Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation , Ahmed Ahmed

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Methods in Discrete Mathematics to Study DNA Rearrangement Processes , Lina Fajardo Gómez

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Adversarial and Data Poisoning Attacks against Deep Learning , Jing Lin

Exploring the Vulnerability of A Neural Tangent Generalization Attack (NTGA) - Generated Unlearnable CIFAR-10 Dataset , Gitte Ost

Statistical Methods for Reliability Test planning and Data Analysis , Oluwaseun Elizabeth Otunuga

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Effective Statistical and Machine Learning Methods to Analyze Children's Vocabulary Learning , Houston T. Sanders

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

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Mathematics thesis and dissertation collection

mathematics doctoral dissertation

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This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.

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Dissertations

Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses , going back to 1934, is available at Georgia Tech's library archive. For the post PhD employment of our graduates see our  Alumni Page .

Doctoral Dissertations

(external link)
Cai, May Yu, J.
Deslandes, Clement Houdre, C.
Minahan, Daniel Margalit, D. and Hom, J.
Omarov, Daniyar Dieci, L.
Shapiro, Roberta Margalit, D. and Etnyre, J.
Shu, Kevin Blekherman, G.
Computational models for bacterial dynamics in community and treatment contexts Sundius, Sarah Kuske, R. and Brown, S. (BIOL)
Komatsuzaki, Aran Matzinger, H.
Tang Rajchel, Mengyi Kang, S.
Acevedo, Jose Blekherman, G.
Barvinok, Nicholas Ghomi, M.
Improving and maximal inequalities in discrete harmonic analysis Giannitsi, Christina Lacey, M.
Gunn, Trevor Baker, M.
Lee, Chi-Nuo Croot, E.
Roy, Agniva Etnyre, J.
Schroeder, Joshua Yu, X.
Sun, Haoran Koltchinskii, V.
Sun, Shengding Blekherman, D. and Dey, S. (ISYE)
Viquez Bolanos, Jorge Aurelio Houdre, C.
Wigal, Michael Yu, X.
Wu, Hao Zhou, H.
Zhang, Tianyi Baker, M. and Lorscheid, O. (University of Groningen)
Zhou, Hongyi Hom, J.
A finite difference method on irregular grids with local second order ghost point extension for solving Maxwell's Equations around curved PEC objects Zou, Haiyu Liu, Y.
Bailey, Victor Heil, C.
Collins, Sarah Hom, J.
Harper, David Damron, M.
Liu, Xiaonan Yu, X.
Salem, Jad Gupta, S.
Tate, Reuben Gupta, S.
Yu, Tao Le, T.
Duan, Juntao Matzinger, H. and Popescu, I.
Hozoori, Surena Etnyre, J.
Ide, Benjamin Kang, S.
Jung, Jaewoo Blekherman, G.
Kumar, Bhanu de la Llave, R.
Liu, Xiao Zeng, C.
Ma, Shaojun Zhou, H.
Mousavi, Hamed Croot, E.
Mukherjee, Anubhav Etnyre, J.
Qian, Yingjie Yu, X.
Sabo, Eric Harrell, E.
Schmidt, Maxie Yu, J.
Wenk, James Ghomi, M.
Yoo, Youngho Yu, X.
Yuan, Xiaofan Yu, X.
Chen, Xinshi Song, L.
Harkonen, Marc Leykin, A.
Stability and Instability of the Kelvin-Stuart Cat's Eyes Flow to the 2D Euler's Equations Liao, Shasha Lin, Z.
Liu, Shu Zhou, H.
Olinde, John Short, M.
Optimal Motion Planning and Computational Optimal Transport Sun, Haodong Kang, S. and Zhou, H.
Zhu, Xingyu Belegradek, I.
Perez Bustamante, Adrian de la Llave, R.
Zhu, Dantong Thomas, R. and Yu, X.
Attarchi, Hassan Bunimovich, L.
Chen, Renyi Tao, M. and Li, G.
Duff, Timothy Leykin, A.
Guo, He Warnke, L.
Hill, Cvetelina Yu, J.
Kirkpatrick, Anna Mitchell, C. and Tetali, P.
Branched Covers and Braided Embeddings Kolay, Sudipta Etnyre, J.
Min, Hyun Ki Etnyre, J.
Yang, Jiaqi de la Llave, R.
Yiao, Yian de la Llave, R.
Cheng, Yam-Sung Heil, C.
He, Yuchen Kang, S.
Non-parametric Analysis for Time Series Gap Data with Applications in Acute Myocardial Infarction Disease Li, Hangfan Houdre, C.
Li, Ruilin Zhou, H. and Zha, H.
Park, Jaemin Yao, Y.
Spectrum Reconstruction Technique and Improved Naive Bayes Models for Text Classification Problems Dai, Zhibo Matzinger, H.
Hu, Qianli Pan, R.
Park, Josiah Heil, C. and Lacey, M.
Kieffer, Thomas Loss, M.
Lanier, Justin Margalit, D.
Lee, Kisun Leykin, A.
Petti, Samantha Vempala, S.
Paprocki, Jonathan Le, T.
Xie, Shijie Yu, X.
Xing, Xin Chow, E. and Zhou, H.
Zhang, Yuze Houdre, C.
Bock, Bounghun Damron, M.
Celaya, Marcel Yu, J.
Chen, Jiangning Matzinger, H. and Lounici, K.
Ghanta, Rohan Loss, M.
Hoyer, Alexander Thomas, R.
Mayorga, Sergio Gangbo, W. and Swiech, A.
  McCullough, Andrew Etnyre, J.
Shu, Longmei Bunimovich, L.
Zhai, Haoyan Zhou, H.
Kerchev, George Houdre, C.
Coloring Graphs with No K5-Subdivision: Disjoint Paths in Graphs Xie, Qiqin Yu, X.
Liu, Qingqing Houdre, C.
Scott, Shane Margalit, D.
Zhou, Fan Koltchinskii, V.
Chen, Tongzhou Short, M.
Dever, John Bellissard, J. and Harrell, E.
Wang, Xin Liu, Y.
Wang, Yichen Song, L. and Zhou, H.
Xu, Chen Houdre, C.
Yuen, Chi Ho Baker, M.
Bolding, Mark Bunimovich, L.
Dang, Thanh Ngoc Thomas, R.
Du, Rundong Park, H.
Mena Arias, Dario Alberto Lacey, M.
de Viana, Mikel de la Llave, R.
Ralli, Peter Tetali, P.
Hou, Yanxi Yu, X.
Kunwar, Ishwari Lacey, M.
Sampson, Donald McCuan, J.
Spencer, Timothy Scott Lacey, M.
Tossounian, Hagop Loss, M.
Walsh, Joseph Donald Dieci, L.
Wang, Yan Yu, X.
Zhang, Lei de la Llave, R.
He, Dawei Yu, X.
Cohen, Emma Tetali
Conway, James Irwin Etnyre
Uniqueness, Existence, and Regularity of solutions of Integro-PDEs in domains of R^n. Mou, Chenchen Yi/Swiech
Xia, Dong Koltchinskii
Li, Wuchen Dieci/Zhou
Difonzo, Fabio Vito Dieci
Vaidyanathan, Ranjini Bonetto
Wang, Ruidong Trotter
Awi, Romeo Olivier Gangbo
Bush, Albert Robert Croot
Hu, Jing Belegradek
Krone, Robert Leykin
Hoffmeyer, Allen Kyle Houdre
Hu, Lili Liu
He, Yunlong Monteiro, Park
Pryby, Christopher Ian Croot
Rangel Walteros, Pedro Andres Koltchinskii
Hurth, Tobias Bakhtin
Kaloti, Amey Sadanand Etnyre
Liu, Chun-Hung Thomas
Luo, Ye Baker
Vuong, Thao Minh Garoufalidis
Wang, Xiaolin Alben/Weiss
Whalen, Peter Michael Zanton Thomas
Zhang, Weizhe Pan
Amirkhanyan, Gagik Martuni Lacey
Backman, Spencer Foster Baker
Lu, Jun Zhou
Shin, Hyunshik Margalit
Winarski, Rebecca Rae Margalit
Casey, Meredith Perrie Etnyre
Liu, Jingfang Zhou
Shokrieh, Farbod Baker
Yin, Ke Zhou
Feng, Huijun Peng
Ni, Kai Koltchinskii
Scurry, James Wright Wick
Asadi Shahmirzadi, Arash Thomas
Ma, Jinyong Houdre
Postle, Luke Jamison Thomas
Chenette, Nathan Lee Thomas
Gong, Ruoting Houdre
Huynh, Huy Ngoc Quoc Houdre
Li, Yao Yi
Minsker, Stanislav Koltchinskii
Sedjro, Marc Mawulom Gangbo
Tosun, Bulent Etnyre
Tran, Anh Tuan Le
Wang, Ruodu Peng
Ye, Tianjun Yu, X.
Gong, Yun Peng
Streib, Amanda Pascoe Randall
Streib, Noah Sametz Trotter
Wu, Jialiang Voit
Einav, Amit Loss
Restrepo, Ricardo Tetali 
Chen, Kenneth Cook 
Lu, Nan Zeng
Ma, Jie Yu, X.
Sloane, Craig Andrew Loss
Almada Monter, Sergio Angel Bakhtin
Reguera Rodriguez, Maria Del Carme Lacey
Webb, Benjamin Zachary Bunimovich
Yerger, Carl Roger Thomas
Howard, David Michael Trotter
Palmer, Ian Christian Bellissard
Stefansson, Ulfar Freyr Lubinsky
Tinaztepe, Ramazan Heil
Vagharshakyan, Armen Ashot Lacey
Bishop, Shannon Renee Smith Heil
Keller, Mitchel Todd Trotter
Deng, Hao Zhou
Yildirim Yolcu, Selma Harrell
Zhao, Kun Pan
Borenstein, Evan Scot Croot
Grigo, Alexander Bunimovich
Kim, Hwa Kil Gangbo
Yolcu, Turkay Gangbo
Greenberg, Samuel Gottfried Randall
Bilinski, Mark Yu
Li, Yongfeng Yi
Litherland, Trevis J Houdre
Xu, Hua Houdre
Young, Stephen James Mihail
Yurchenko, Aleksey Bunimovich
Biro, Csaba Trotter
Jimenez, David Adrian Wang
Marcus, Adam Wade Tetali
Pearson, John Clifford Bellissard
Pugliese, Alessandro Dieci
Savinien, Jean Philippe Xavier Bellissard
Carroll, Christina Conklin Tetali
Inkmann, Torsten Thomas
Kampel, Guido Goldsztein
Kettner, Michael Basu
Lessard, Jean-Philippe Mischaikow
Viveros Rogel, Jorge Yi
Ulusoy, Suleyman Carlen
Jiang, Wen Xu
Komendarczyk, Rafal Adam Ghrist
Hegde, Rajneesh Dattatray Thomas
Hohenegger, Christel Mucha
Wollan, Paul Joseph Thomas
Chen, Jian Yi
Gameiro, Marcio Fuzeto Mischaikow
Moeller, Todd Keith Mischaikow
Norin, Sergey Thomas
Hernandez-Urena, Luis Kertz
Sammer, Marcus D Tetali
Sanchez, Jose Luis Hernandez Chow
Song, Zixia Thomas
Figueroa-Lopez, Jose Enrique Houdré
Kreslavskiy, Dmitry Michael Bunimovich
Rasmussen, Bryan Michael Dieci
Curran, Sean Patrick Yu
Day, Sarah Lynn Mischaikow
Okoudjou, Kasso Akochaye Heil
Sheppardson, Laura Jean Yu
Khlabystova, Milena Alexandrovna Bunimovich
Wang, Xuelei Jin
Polygonal Approximation for Flows Boczko, Erik Miklos Mischaikow
Agueh, Martial Marie-Paul Gangbo
Del Magno, Gianluigi Bunimovich
Kelome, Djivede Armel Swiech
Maroofi, Hamed Gangbo
Rebaza Vasquez, Jorge Luis Dieci
Martin, Russell Andrew Randall
Murali, Shobhana Houdré
Sitton, David Edward Range Hill
Burer, Samuel Andrew Monteiro
Stoyanov, Tzvetan Ivanov Houdré
Some generalizations of the Knaster-Kuratowski-Mazurkiewicz Theorem Gonzalez Espinoza, Luis Armando Cain
Jacobs, Denise Anne Kanabroski Heil
Rivera, Roberto Rafael Robinson
Thomson, Jan Mcdonald Thomas
Baker, Anthony Wayne Mischaikow
Harrelson, Dyana Rae Rice Houdré
Labate, Demetrio Heil
McShine, Lisa Maria Tetali
Vougalter, Vitali Grigor'Evich Loss
Random Probability Measures with Given Mean and Variance Bloomer, Lisa A Hill
Heckman, Christopher Carl Thomas
Kerce, James Clayton Carlen
Weedermann, Marion Hale
Hlineny, Petr Thomas
Klabjan, Diego Nemhouse/Duke
Walls, Barrett Hamilton Thomas
Szymczak, Andrzej Mischaikow
Acosta, Antonio Ramon Chow
Fowler, Tom George Thomas
Watson, Greg Malcolm Mischaikow
Belogay, Eugeni Alexandrov Wang
O'Connell, Walter Richard Harrell
Pederson, Steven Michael Xia
Salazar Gonzalez, Jose Domingo Hale
Yang, Xue-Feng Harrell
Kuhn, Zuzana Thomas Hill
Tan, Bin Hale
Lara, Pulido Teodoro Del Car Chow
Carbinatto, Maria Do Carmo Mischaikow
Keeve, Michael Octavis Dieci
Kuhn, Wolfgang Estep
Liu, Weishi Chow
LaDue, Mark Douglas Green
Leeds, Kevin N Shonkwiler
Dai, Wanyang Dai
Venkatagiri, Shankar C Bunimovich
Bussian, Eric Richard Duke
Rehacek, Jan Bunimovich
Thomas, Diana Maria Chow
Mendivil, Franklin Arturo Cain
Rufeger, Waltraud Ames
Eidenschink, Michael Mischaikow
Leiva, Hugo Chow
Meddin, Mona Shonkwiler
Hardin, Douglas Patten Barnsley
Banaszuk, Andrzej Loss
Donovan, George Cassinis Geronimo
Howard, Timothy Gerard Herod
Young, Todd Ray Afraimovich/Chow
Pinto, Joao Teixeira Hale
Gedeon, Tomas Mischaikow
Burchard, Almut Dorothea Loss
Michel, Patricia L Harrell
Oliva Filho, Sergio Muniz Hale
Bright, Theresa Ann Ames
Hines, Gwendolen M Hale
Sanders, Daniel Preston Thomas
Kelly, William Benjamin Meyer
Chen, Mingxiang Chow
Carvalho, Alexandre Nolasco De Hale
Shen, Wenxian Chow
Shieh, Jung-Sheng Tong
Kwek, Keng-Huat Chow
Arrieta, Jose M Hale
Arrigo, Daniel Joseph Ames
Green, Edward Lee Harrell
King, James Francis Geronimo
Kuai, Wenming Shonkwiler
Van Vleck, Erik Scott Chow
Postell, Floyd Vince Ames
James, Glenn Edward Harrell
Smith, Dale T Harrell
Jacquin, Arnaud Eric Barnsley
Jones, Martin Lee Hill
Abell, Martha Louise Ames
Lewellen, Gary Boyd Cain
Patterson, Wanda Mcnair Andrew
Khadivi, Mohammad Reza Green
Peters, James Edward Ames
Brown, Martin Lloyd Ames
Richards, Pamela Childs Ames
Womble, David Eugene Meyer
Massopust, Peter Robert Barnsley
Herndon, John Alan Barnsley
Ervin, Vincent John Ames
Raddatz, William Daniel Barnsley
Withers, William Douglas Karlovitz
Bielecki, Daria Jan Sledd
Mokole, Eric Louis Sledd
Boisvert, Robert Eugene Ames
Glidewell, Samuel Ray Sledd
Hubbard, Elaine Marjorie Goode
Ingle, Richard Maurice Stallybrass
Freedman, Michael Aaron Herod
Jory, Virginia Vickery Herod
Siegrist, Kyle Travis Kertz
West, Michael Scott Sledd
Faulkner, Gary Doyle Shonkwiler
Kramarz, Luis Kammerer
Summers, Richard Deane Stallybrass
Sullivan, Joe Wheeler Herod
Purdom, Seaton Driskell Herod
Scherer, Stephen Edwin Stallybrass
McKibben, William Pullin Sledd
Christian, William Greer Sledd
Rollins, Laddie Wayne Stallard
Lovelady, David Lowell Herod
Martens, Walter Frederick Sledd
Reddien, George William Kammerer
Buckley, James Joseph Coleman
Lee, Philip Francis Kurth
Brown, David Lyle Kasriel
Lucas, Thomas Ramsey Kammerer
Martin, Robert Harold Stallard
Wertheimer, Stanley Joseph Kasriel
Huthnance, Edward Dennis Robinson
Law, Alan Greenwell Sledd
Cook, Frederick Lee Sledd
Fuller, Richard Vernon Kasriel
Jayne, John William Sledd
Cain, George Lee Kasriel
Stiles, Wilbur Janes Kammerer

Masters Dissertations

(external link)
Hall, Ariana Wang, Z.
Ma, Yuanzhe Damron, M.
Li, Jiaheng Damron, M.
Hebbe Madhusudhana, Bharath Blekherman, G.
Elmas, Gokhan Etnyre
Hurth, Tobias Bakhtin
Hupp, Phillipp Harrell
Ford, Allison Elaine Mucha
Leach, Sandie Patricia Heil
Goble, Tiffany Danielle  Belinfante
White, Edward C., Jr. Harrell
Hynd, Ryan Charles McCuan
Hart, Derrick N. Lacey
Zickfeld, Florian  Yu
Baamann, Katharina   Mucha
Doto, James William   Carlen

California State University, San Bernardino

Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations

Mathematics Theses, Projects, and Dissertations

Theses/projects/dissertations from 2024 2024.

On Cheeger Constants of Knots , Robert Lattimer

Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace

Theses/Projects/Dissertations from 2023 2023

DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim

An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson

Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko

MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud

Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega

Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov

Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez

Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil

KNOT EQUIVALENCE , Jacob Trubey

Theses/Projects/Dissertations from 2022 2022

SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade

The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles

Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen

de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox

Symmetric Generation , Ana Gonzalez

SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha

Simple Groups and Related Topics , Simrandeep Kaur

Homomorphic Images and Related Topics , Alejandro Martinez

LATTICE REDUCTION ALGORITHMS , Juan Ortega

THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger

Verifying Sudoku Puzzles , Chelsea Schweer

AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns

Theses/Projects/Dissertations from 2021 2021

Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena

Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez

SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona

Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne

MEASURE AND INTEGRATION , JeongHwan Lee

A Study in Applications of Continued Fractions , Karen Lynn Parrish

Partial Representations for Ternary Matroids , Ebony Perez

Theses/Projects/Dissertations from 2020 2020

Sum of Cubes of the First n Integers , Obiamaka L. Agu

Permutation and Monomial Progenitors , Crystal Diaz

Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez

Research In Short Term Actuarial Modeling , Elijah Howells

Hyperbolic Triangle Groups , Sergey Katykhin

Exploring Matroid Minors , Jonathan Lara Tejeda

DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan

Modeling the Spread of Measles , Alexandria Le Beau

Symmetric Presentations and Related Topics , Mayra McGrath

Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder

ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah

Excluded minors for nearly-paving matroids , Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019 2019

Fuchsian Groups , Bob Anaya

Tribonacci Convolution Triangle , Rosa Davila

VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday

Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James

Geodesics on Generalized Plane Wave Manifolds , Moises Pena

Algebraic Methods for Proving Geometric Theorems , Lynn Redman

Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.

THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons

CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham

Theses/Projects/Dissertations from 2018 2018

PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre

Monomial Progenitors and Related Topics , Madai Obaid Alnominy

Progenitors Involving Simple Groups , Nicholas R. Andujo

Simple Groups, Progenitors, and Related Topics , Angelica Baccari

Exploring Flag Matroids and Duality , Zachary Garcia

Images of Permutation and Monomial Progenitors , Shirley Marina Juan

MODERN CRYPTOGRAPHY , Samuel Lopez

Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna

Symmetric Presentations, Representations, and Related Topics , Adam Manriquez

Toroidal Embeddings and Desingularization , LEON NGUYEN

THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco

Tutte-Equivalent Matroids , Maria Margarita Rocha

Symmetric Presentations and Double Coset Enumeration , Charles Seager

MANUAL SYMMETRIC GENERATION , Joel Webster

Theses/Projects/Dissertations from 2017 2017

Investigation of Finite Groups Through Progenitors , Charles Baccari

CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez

Making Models with Bayes , Pilar Olid

An Introduction to Lie Algebra , Amanda Renee Talley

SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco

CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016 2016

Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh

Regular Round Matroids , Svetlana Borissova

GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros

REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney

Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis

BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee

ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez

LIFE EXPECTANCY , Ali R. Hassanzadah

PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon

A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson

Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal

The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen

Probabilistic Methods In Information Theory , Erik W. Pachas

THINKING POKER THROUGH GAME THEORY , Damian Palafox

Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado

Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas

AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn

The Evolution of Cryptology , Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015 2015

SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi

Homomorphic Images And Related Topics , Kevin J. Baccari

Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez

Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn

Symmetric Presentations and Generation , Dustin J. Grindstaff

HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.

SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp

Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.

Elliptic Curves , Trinity Mecklenburg

A Fundamental Unit of O_K , Susana L. Munoz

CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez

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Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations

Mathematics Theses and Dissertations

Theses/dissertations from 2023 2023.

Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton

On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes

Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li

Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner

Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng

Theses/Dissertations from 2022 2022

Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings

The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha

Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay

Tangled up in Tanglegrams , Drew Joseph Scalzo

Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith

Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson

Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock

Theses/Dissertations from 2021 2021

Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington

Polynomials, Primes and the PTE Problem , Joseph C. Foster

Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat

A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara

Trimming Complexes , Keller VandeBogert

Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang

Theses/Dissertations from 2020 2020

An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea

Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice

Rationality Questions and the Derived Category , Alicia Lamarche

Counting Number Fields by Discriminant , Harsh Mehta

Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen

Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih

Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick

Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen

Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang

An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar

Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes

Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin

Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li Formula , Jessica Otis

A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer

A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig

Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch

On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann

An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm

Dynamical Entropy of Quantum Random Walks , Duncan Wright

Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang

Theses/Dissertations from 2018 2018

Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed

Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai

Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran

Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman

A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna

Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard

Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson

Graph Homomorphisms and Vector Colorings , Michael Robert Levet

Local Rings and Golod Homomorphisms , Thomas Schnibben

States and the Numerical Range in the Regular Algebra , James Patrick Sweeney

Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins

Subdivision of Measures of Squares , Dylan Bates

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform , David Hughey

Deep Learning: An Exposition , Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu

Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform , Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang

Theses/Dissertations from 2015 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols , Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times , David Collins

Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington

The Weierstrass Approximation Theorem , LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White

Theses/Dissertations from 2012 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu

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Dissertation Filing Requirements

The final requirement in the Math Department’s PhD program is filing the dissertation. The dissertation committee has the responsibility for determining whether a submitted dissertation draft is acceptable for the PhD. It is the responsibility of the student to keep in touch with all members of the committee and communicate their expected timeline to completion with adequate time prior to the filing date for all members of the committee to read and provide comments on the dissertation draft. It is also the responsibility of the student to stay informed about all deadlines associated with dissertation filing. 

There are several steps, outlined below, that must be completed by the student during the term in which they plan to file. PhD candidates should review the checklist carefully and in full no later than the start of the semester in which they intend to file, and follow up with the GSAO with any unanswered questions. Please note that the checklist items detailed below are for Math and Applied Math PhD candidates; Logic students will find a separate checklist linked below under “Dissertation Filing Resources”.

Steps to Filing Your Dissertation (Math & Applied Math)

  • Review Graduate Division dissertation filing protocol (beginning of term): Review the guidelines  here . Please read through carefully.
  • Check Dissertation Committee on CalCentral (by beginning of term): Ensure that all members listed are correct and show as “active”. If you have a committee member outside of the university, double-check that their email address is correct as well, as the final signature eForm will be routed to this email address for their approval. If your committee is not up to date, you can change it at any time by going to CalCentral > My Dashboard > Submit a Form > Higher Degrees Committee eForm > Committee type “Doctoral”.
  • Update Expected Graduation Term to current term (by beginning of term): Expected Graduation Term (EGT) must be set to the term in which you plan to graduate in order for you to be added to the campus degree list. Students can update their EGT by going to CalCentral > My Dashboard > Submit a Form > Change of Expected Graduation Term Request.
  • Check Academic Progress Report for incomplete milestones (by beginning of term): The Academic Progress Report (APR) shows all milestones required to complete a degree. Check your APR to ensure that only the dissertation filing milestone is incomplete. If any other milestones show as incomplete, please contact your GSAO. You can view your APR at CalCentral > My Academics > Degree Progress > View Academic Progress Report.
  • Inform your committee members of your intent to file (by beginning of term): Check in with all of your committee members (not just your advisor!) and make sure they are aware of your planned timeline to completion. Ensure that all members will be available to read and approve your thesis by the filing date.
  • Submit Research Presentation Form to GSAO (at least three weeks prior to filing): Students must give a research presentation, at least 50 minutes in duration, after advancement to candidacy and during a seminar offered by the Math Department; research presentations held at SLMath (formerly MSRI) or LBNL are also acceptable. After your presentation, please download the form template (found below), to be signed by the faculty in whose seminar you presented, and then return it via email to the GSAO once completed.
  • Review CalCentral incomplete tasks and complete any outstanding forms or surveys (at least three weeks prior to filing): A list of incomplete tasks can be found on your CalCentral dashboard.
  • Submit your final thesis to ProQuest (by the  semester filing deadline ): Upload a PDF of your dissertation to ProQuest as outlined in the procedure for filing your dissertation on Graduate Division's  website . You must review guidelines for submission carefully! Graduate Division has very specific formatting guidelines. You cannot make edits to your dissertation after it has been accepted.
  • Submit the Final Signature eForm (by the  semester filing deadline ): The final signature page is now an eForm accessible via CalCentral.  If your EGT is correct, the eForm will show as an incomplete task on your dashboard. Inform your committee prior to submitting the form for their approval so that they can look out for the email notification. Make sure to follow up with all committee members before the filing deadline to ensure that everyone has signed. You will also use this form to select an embargo period for your manuscript, if applicable.
  • Complete the AMS Survey of Doctoral Recipients: The Survey of Doctoral Recipients is now housed on AMS' website and completed online. We will email the survey to all graduating students.

Once you have completed all steps of the filing process (including surveys) and have a satisfied APR your certification of conferral will be emailed to you within 2-3 business days.

Dissertation Filing Resources

Research Presentation Form

Current AMS Survey of Doctoral Recipients

Graduate Division Filing Guidelines

BYU ScholarsArchive

BYU ScholarsArchive

Home > Computational, Mathematical, and Physical Sciences > Mathematics Education > Theses and Dissertations

Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson

Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

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Department of Mathematics

Doctoral theses.

About twenty to thirty doctoral students complete their doctoral thesis at the Department of Mathematics every year.

Recent doctoral examinations

Dissertations

Published after 1 January 2014. For theses published before 2014, please refer to the Research Collection .

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Home > Mathematics > Dissertations, Theses, and Student Research

Mathematics, Department of

Department of mathematics: dissertations, theses, and student research.

Approximation Via Degree Reduction of Nonlinearities with Applications to Turbulent Flows, Flame Fronts, and Magnetohydrodynamics , Matthew Enlow

Discrete Macaulay-Steiner Geometry , Nikola Kuzmanovski

Making Sandwiches: A Novel Invariant in D-module Theory , David Lieberman

Mathematical and Computational Analysis of Certain Regularizations for the 3D Navier-Stokes Equations and Nonlocal Peridynamic Conservation Laws , Isabel Safarik

An Analysis of Plant Response to Herbivory , Lawrence Gustavo Seminario-Romero

Game-Theoretic Approaches to Optimal Resource Allocation and Defense Strategies in Herbaceous Plants , Molly R. Creagar

Prefix-Rewriting: The Falsification by Fellow Traveler Property and Practical Computation , Ash DeClerk

Positioning Undergraduate Learning Assistants in Instruction: A Case Study of the LA Role in Active Learning Mathematics Classrooms at the University of Nebraska-Lincoln , Rachel Funk

Classroom Social Support: A Multiple Phenomenological Case Study of Mathematics Graduate Teaching Assistants’ Decision Making in the Classroom , Brittany Johnson

On the Superabundance of Singular Varieties in Positive Characteristic , Jake Kettinger

On Dyadic Parity Check Codes and Their Generalizations , Meraiah Martinez

Intrinsic Tame Filling Functions and Other Refinements of Diameter Functions , Andrew Quaisley

Partitions of R^n with Maximal Seclusion and their Applications to Reproducible Computation , Jason Vander Woude

Gordian Distance and Complete Alexander Neighbors , Ana Wright

Unexpectedness Stratified by Codimension , Frank Zimmitti

Extremal Problems in Graph Saturation and Covering , Adam Volk

Free Semigroupoid Algebras from Categories of Paths , Juliana Bukoski

Frobenius and Homological Dimensions of Complexes , Taran Funk

N-Fold Matrix Factorizations , Eric Hopkins

Free Complexes over the Exterior Algebra with Small Homology , Erica Hopkins

Gauge-Invariant Uniqueness and Reductions of Ordered Groups , Robert Huben

Results on Nonorientable Surfaces for Knots and 2-knots , Vincent Longo

A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids , George Nasr

Bootstrap Percolation on Random Geometric Graphs , Alyssa Whittemore

Hadamard Well-Posedness for two Nonlinear Structure Acoustic Models , Andrew Becklin

Optimal Allocation of Two Resources in Annual Plants , David McMorris

Spectral Properties of a Non-Compact Operator in Ecology , Matthew Reichenbach

Exploring Pedagogical Empathy of Mathematics Graduate Student Instructors , Karina Uhing

Trisections of Flat Surface Bundles over Surfaces , Marla Williams

Operator algebras generated by left invertibles , Derek DeSantis

Admissibility of C*-Covers and Crossed Products of Operator Algebras , Mitchell A. Hamidi

Unbounded Derivations of C*-algebras and the Heisenberg Commutation Relation , Lara M. Ismert

Individual Based Model to Simulate the Evolution of Insecticide Resistance , William B. Jamieson

The Derived Category of a Locally Complete Intersection Ring , Joshua Pollitz

Sequential Differences in Nabla Fractional Calculus , Ariel Setniker

The T 3 , T 4 -conjecture for links , Katie Tucker

Design and Analysis of Graph-based Codes Using Algebraic Lifts and Decoding Networks , Allison Beemer

Graphs with few spanning substructures , Jessica De Silva

Fractional Difference Operators and Related Boundary Value Problems , Scott C. Gensler

Green's Functions and Lyapunov Inequalities for Nabla Caputo Boundary Value Problems , Areeba Ikram

On the well-posedness and global boundary controllability of a nonlinear beam model , Jessie Jamieson

Resolutions of Finite Length Modules over Complete Intersections , Seth Lindokken

On Coding for Partial Erasure Channels , Carolyn Mayer

High Cognitive Demand Examples in Precalculus: Examining the Work and Knowledge Entailed in Enactment , Erica R. Miller

A Tensor's Torsion , Neil Steinburg

Properties and Convergence of State-based Laplacians , Kelsey Wells

The Existence of Solutions for a Nonlinear, Fractional Self-Adjoint Difference Equation , Kevin Ahrendt

Ideal Containments under Flat Extensions and Interpolation on Linear Systems in P 2 , Solomon Akesseh

Stable Cohomology Of Local Rings And Castelnuovo-Mumford Regularity Of Graded Modules , Luigi Ferraro

Languages, geodesics, and HNN extensions , Maranda Franke

Antichains and Diameters of Set Systems , Brent McKain

Rigidity of the Frobenius, Matlis Reflexivity, and Minimal Flat Resolutions , Douglas J. Dailey

Management of Invasive Species using Optimal Control Theory , Christina J. Edholm

Cohen-Macaulay Dimension for Coherent Rings , Rebecca Egg

Adian inverse semigroups , Muhammad Inam

Homological characterizations of quasi-complete intersections , Jason M. Lutz

Bridge spectra of cables of 2-bridge knots , Nicholas John Owad

Applications of Discrete Mathematics for Understanding Dynamics of Synapses and Networks in Neuroscience , Caitlyn Parmelee

A Caputo Boundary Value Problem in Nabla Fractional Calculus , Julia St. Goar

Stable local cohomology and cosupport , Peder Thompson

Graph centers, hypergraph degree sequences, and induced-saturation , Sarah Lynne Behrens

Knörrer Periodicity and Bott Periodicity , Michael K. Brown

The Strict Higher Grothendieck Integral , Scott W. Dyer

Invariant Basis Number and Basis Types for C*-Algebras , Philip M. Gipson

Bioinformatic Game Theory and Its Application to Cluster Multi-domain Proteins , Brittney Keel

Extremal Results for the Number of Matchings and Independent Sets , Lauren Keough

Crosscap Number: Handcuff Graphs and Unknotting Number , Anne Kerian

Tame Filling Functions and Closure Properties , Anisah Nu'Man

Analysis of Neuronal Sequences Using Pairwise Biases , Zachary Roth

Systems of parameters and the Cohen-Macaulay property , Katharine Shultis

Local and Nonlocal Models in Thin-Plate and Bridge Dynamics , Jeremy Trageser

Betti sequences over local rings and connected sums of Gorenstein rings , Zheng Yang

Boundary Value Problems of Nabla Fractional Difference Equations , Abigail M. Brackins

Results on edge-colored graphs and pancyclicity , James Carraher

An Applied Functional and Numerical Analysis of a 3-D Fluid-Structure Interactive PDE , Thomas J. Clark

Algebraic Properties of Ext-Modules over Complete Intersections , Jason Hardin

Combinatorial and Algebraic Coding Techniques for Flash Memory Storage , Kathryn A. Haymaker

Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model , Pei Pei

The Neural Ring: Using Algebraic Geometry to Analyze Neural Codes , Nora Youngs

Development and Application of Difference and Fractional Calculus on Discrete Time Scales , Tanner J. Auch

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS , Pushp R. Awasthi

Embedding and Nonembedding Results for R. Thompson's Group V and Related Groups , Nathan Corwin

Periodic modules over Gorenstein local rings , Amanda Croll

Results on Containments and Resurgences, with a Focus on Ideals of Points in the Plane , Annika Denkert

REGULARITY FOR SOLUTIONS TO PARABOLIC SYSTEMS AND NONLOCAL MINIMIZATION PROBLEMS , Joe Geisbauer

Decompositions of Betti Diagrams , Courtney Gibbons

Symbolic Powers of Ideals in k [ P N ] , Michael Janssen

Closure and homological properties of (auto)stackable groups , Ashley Johnson

Random search models of foraging behavior: theory, simulation, and observation. , Ben C. Nolting

Geometric Study of the Category of Matrix Factorizations , Xuan Yu

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS , Khulud Alyousef

PRIME IDEALS IN TWO-DIMENSIONAL NOETHERIAN DOMAINS AND FIBER PRODUCTS AND CONNECTED SUMS , Ela Celikbas

Modeling and Mathematical Analysis of Plant Models in Ecology , Eric A. Eager

An Analysis of Nonlocal Boundary Value Problems of Fractional and Integer Order , Christopher Steven Goodrich

SYSTEMS OF NONLINEAR WAVE EQUATIONS WITH DAMPING AND SUPERCRITICAL SOURCES , Yanqiu Guo

Commutative Rings Graded by Abelian Groups , Brian P. Johnson

The Weak Discrepancy and Linear Extension Diameter of Grids and Other Posets , Katherine Victoria Johnson

Combinatorics Using Computational Methods , Derrick Stolee

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Mathematics Doctoral Dissertations

A reverse-chronological list of doctoral dissertations awarded by the department.

A link on a person's name goes either to their webpage or to recent news or information about them.

The link from the dissertation title leads to the university library. Most dissertations since 2003 are available electronically there. If the link is missing on a recent dissertation, try a library search for " OUD Theses. Mathematics ."

  • Daniel Ntiamoah: Analysis of Order Strategies for Alternating Algorithms in Optimization
  • Abdalnaser Algoud: Asymmetric Division of Cell Population Structure Models with Negative Feedback
  • Murdhy  Aldawasari:  On non-homogeneous reflections via Dirichlet-to-Neumann and Robin-to-Neumann operators  
  • Herath Mudiyanselage Indupama Umayangi Herath: Multivariate Regression using Neural Networks and Sums of Separable Functions
  • Kevin Patrick Pomorski: On Braided Monoidal 2-Categories
  • Timothy Schenkel: On Graph Algebras
  • Yeshan Withanage: Analysis of Sparse Sufficient Dimension Reduction Models
  • Majed Husain Zailaee: Amenable bases over infinite dimensional algebras
  • Mohmmad Hussein Zailai: Topological Field Theories with Defects
  • Henry Chimal-Dzul - Contributions to the Taxonomy of Rings
  • Ashley H. Pallone - Entangled Polynomials
  • Muhammad, Rebin Abdulkader: On amenable and congenial bases for infinite dimensional algebras
  • Owusu-Mensah, Isaac: Algebraic structures on the set of all binary operations over a fixed set
  • Shrestha, Prabha - Application of Influence Function in Sufficient Dimension Reduction Models  and  Study of Some Biologically Relevant Dynamical System Models: (In)stability Regions of Cyclic Solutions in Cell Cycle Population Structure Model Under Negative Feedback and Random Connectivities in Multitype Neuronal Network Models
  • Ahmed, Shehzad: Progressive ideals in combinatorial set theory
  • An, Panduan: On analysis of sufficient dimension reduction models
  • Liu, Qing: On anisotropic functional Fourier deconvolution problem with unknown kernel
  • Prathom, Kiattisak: Stability Regions of Cyclic Solutions under Negative Feedback and Uniqueness of Periodic Solutions for Uneven Cluster Systems
  • Stanley, Benjamin: Perspectives on amenability and congeniality of bases
  • Akinyemi, Lanre: The interface dynamics in the Hele-Shaw cell
  • Bossaller, Daniel: Some topics in infinite dimensional algebra
  • Hieta-Aho, Erik: On finite rings, algebras, and error-correcting codes
  • Li, Zhijian: On applications of semiparametric methods
  • McClatchey, Nathaniel: Tensors : an adaptive approximation algorithm, convergence in direction, and connectedness properties
  • Ronquillo Rivera, Javier: Extremely amenable groups and Banach representations
  • Xin, Ying: Complex dynamical systems : definitions of entropy, proliferation of epithelia and spread of Infections and Information
  • Darren Simmons: On lagrangian algebras in braided fusion categories
  • Frank Ballone: Gamma-Sets and the (A, B_[infinity sign] selection principle
  • Michael Perron: On the structure of independent families
  • Xue Gong: Dynamical Systems in Cell Division Cycle, Winnerless Competition Models, and Tensor Approximations
  • Son Nguyen: Topics on Sufficient Dimension Reduction
  • Bismark Oduro: Mathematical Models of Triatomine (Re)infestation
  • Lulwah Al-Essa: Modules over Infinite Dimensional Algebras
  • Gregory Moses: Dynamical systems in biological modeling: clustering in the cell division cycle of yeast
  • Nicholas Pilewski: Units and Leavitt Path Algebras
  • Richard Buckalew: Mathematical Models in Cell Cycle Biology and Pulmonary Immunity
  • Joseph Mastromatteo: The Subprojectivity and Pure-Subinjectivity Domains of a Module
  • Douglas Hoffman: A Coloring Theorem for Inaccessible Cardinals
  • Joshua Beal: Matching Problems for Stochastic Processes
  • Khalid Malaikah: Laplacian Growth: Interface Evolution in a Hele-Shaw Cell
  • Holston, Christopher: Rings Characterized by their Modules
  • Moore, Jeremy: On Inverses and Linear Independence
  • Schwiebert, Ryan : Faithful Torsion Modules and Rings
  • Botts, Ryan : Recovery and Analysis of Regulatory Networks from Expression Data Using Sums of Separable Functions
  • Dolph Bosley, Laura : Applications of elementary submodels in topology
  • Parra Avila, Benigno Rafael: On Rational and Periodic Power Series and on Sequential and Polycyclic Error-Correcting Codes
  • Stover, Derrick D: Continuous mappings of some new classes of spaces
  • Szabo, Steve : Convolutional Codes with Additional Structure and Block codes over Galois Rings
  • Thompson, Scotty L. : Comparing topological spaces using new approaches to cleavability
  • Blackwood, Brian Scott : A study of partial orders on nonnegative matrices and von Neumann regular rings
  • Srivastava, Ashish K. : Rings characterized by properties of direct sums of modules and on rings generated by units
  • Alahmadi, Adel Naif M. : Injectivity, continuity, and CS conditions on group rings
  • Constantin, Elena: Optimization and flow invariance via high order tangent cones
  • Castillo, Rene Erlin: Generalized non-autonomous Kato classes and nonlinear Bessel potentials
  • Al-Hazmi, Husain Suleman S.: A study of CS and [sigma]-CS rings and modules
  • Lee, Haewon: Nonlinear evolution equations and optimization problems in Banach spaces
  • Alsulami, Saud M. A: On evolution equations in Banach spaces and commuting semigroups
  • Voisei, Mircea Dan: First-order necessary optimality conditions for nonlinar optimal control problems
  • Er, Noyan Fevzi: Rings characterized by direct sums of CS modules
  • Dinh, Hai Quang: On the structure and equivalence of codes over finite rings
  • Tynan, John C .: Decompositions of certain classes of nonnegative matrices
  • Nguyen, Thanh-Lan: On the mild solutions of differential equations on Banach spaces
  • Liu, Chuan: K-networks and mappings
  • Ludwig, Lewis D.: Two generalizations of normality : α-normality and β-normality
  • Kalantan, Lutfi N. H.: On K-normality
  • Chen, Yuqing: Nonlinear operators and differential equations in abstract spaces
  • Pavlov, Oleg: Examples in set-theoretic topology
  • Gao, Shu Chun: Optimal control of partial differential equations with closed range operators
  • Valuyeva, Julia: On tightness-type properties and on relative dimension concepts
  • McKibben, Mark A.: Existence theorems for nonlinear functional differential equations
  • Tartir, Jamal: Relative separation and covering properties in topology
  • Kanwar, Pramod: On the structure of nonsingular quasi-continuous and CS-rings
  • Gao, Yun: Initial and boundary value problems for classes of functional differential equations
  • An, Gang: Periodic solutions to nonlinear wave equations
  • Schuler, Elena: Admissibility and asymptotic behavior of first and second order differential equations in Banach spaces
  • Tannan, Sujal Jhingan: Weakly self-injective matrix rings
  • Barthwal, Savita: Semiperfect CS-rings
  • Lei, Yansong : Regularized functional calculi for pseudo-differential operators, integro-differential operators, integro-differential equations, and integrated semigroups
  • Yan, Qingyin: Doubly nonlinear evolution equations in banach spaces
  • Puin, Christopher C.: Character correspondences and subgroups of operator groups
  • Friedman, Boris A.: Prime divisors of Schur indices and degrees of Brauer characters in finite solvable groups
  • Yao, Fuyuan: C-regularized semigroups, C-existence families, differential operators and abstract cauchy problems
  • Xie, Nandi: Derived length of solvable permutation groups
  • Hrinca, Ioan : Optimal control of Lotka-Volterra systems with distributed states
  • Syed, Safdar Raza: Rings in which every (finitely generated) right ideal is quasi-continuous and mutually injective hulls
  • Ding, Yimin: Volterra integral equations in Banach spaces
  • Kline, Jeannette L.: Statistical convergence and densities generated by sequences of measures
  • Wang, Gengsheng: Optimal control problems of some parabolic differential equations
  • Saleh, Mohammad Ali: A study on weakly projective modules
  • Schommer, John Joseph : Nearly realcompact and nearly pseudocompact spaces
  • Cho, Myung Hyun: Conditions under which countable-compact-covering maps are compact-covering
  • Cai, Zhixiong: Antiperiodic boundary value problems for differential equations with monotone operators in Banach spaces
  • Huzali, Abdullah H.: A study of the weak relative injectivity of rings and modules
  • Coutant, Basil William: Cardinal function dualities between a space X and its continuous real-valued functions
  • Yusof Bin Yaacob: Periodic solutions of some functional differential equations with state-dependent delays
  • Wang, You-Qiang: The p-parts of Brauer character degrees in p-solvable groups
  • Wu, Ta-hsin: Some results for the two-dimensional Korteweg-de Vries equation
  • Miller, Edward S.: Isocompactness properties characterized by maximal open ideals
  • Huang, Yong K.: Functional differential equations with piecewise constant arguments
  • Gunawardena, Ananda D. : Nonnegative matrices and applications to linear systems
  • Soewono, Edy: Stability of traveling wave solutions of the power KdV equation
  • Chen, Yunkai: Periodic traveling wave solutions to the two-dimensional Korteweg- deVries equations
  • Hudak, Michael W.: Applications of forcing to cardinal invariants of the continuum
  • Saleh, Husni H.: Rings whose cyclic modules have cyclic injective hulls and their generalizations
  • Kelsey, Ralph W.: Solitary wave solutions to nonlinear dispersive evolution equations and reduction of complex nonlinear systems in one and several dimensions
  • Malik, D. S : A study of q-hypercyclic rings
  • Grabner, Elise M.: Pre-images of certain generalized metric spaces
  • Ruth, Rick E: Complete [Sigma]-spaces and [Theta]-spaces
  • Swardson, Mary Anne : Generalizations of F-spaces and some topological characterizations of the generalized continuum hypothesis
  • Grabner, Gary C.: A study of topological spaces having bases of subinfinite rank and related topics
  • Konrad, Michel: A mathematical structure
  • Kwak, Edward Kyungsoon: Nonnegative -monotone matrices
  • Aborn, Bruce J: Generalized growth and approximation of analytic functions of one or more complex variables
  • Goel, Vijay Kumar: A study of torsion and cotorsion radicals, and pi-injectivity
  • Davis, Sheldon W.: A study of certain classes of isocompact spaces and of the relationships among them
  • Bender, Paul J.: Nonlinear programming in normed linear spaces
  • Bogda, Richard A.: On the growth of analytic functions defined in disks of finite radii
  • Symonds, Robin G.: A study of rings whose proper cyclic modules are quasi-injective
  • Baer, Robert Duane: An approach to geometry: an axiomatic development of Euclidean plane geometry via isometries
  • James, Thomas Ray: The theory of completeness settings
  • Gosnell, Russell J.: A unifying approach to some structures of general topology
  • Wegener, Delano P.: Primitive pythagorean triangles and primes

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College of Education

Overview: phd mathematics & science education.

The PhD in Education:  Curriculum and Instruction offers students opportunities to study in three major areas of concentration:  (a)  Curriculum Studies ; (b)  Literacy, Language, and Culture ; (c ) Mathematics and Science Education .  Students in this PhD program apply to and are admitted to one of these three concentrations.  These concentrations have some common elements but they also differ in a number of important ways.  Therefore, each of these concentrations is described separately.  You should refer to the description of the concentration to which you have been admitted.  You should also refer to later sections of this handbook that provide additional information about conducting dissertation research successfully.

The MSE PhD program spans P-20 mathematics and science education in urban settings in and out of schools. The focus is on developing new knowledge that improves science and mathematics education and has an impact on the communities we serve. Students engage in coursework and research experiences that guide them to view issues of learning, teaching, curriculum, assessment, and policy through sociocultural and sociopolitical lenses where equity, social justice, race, language, culture, and identity are essential considerations.

Program faculty members are widely recognized as leaders in their respective fields. They have published extensively on the educational experiences of African American and Latino learners, and bring to their research and teaching strong disciplinary education in STEM fields. They also have considerable records of mentoring and preparing scholars from traditionally underrepresented groups, as well as preparing and collaborating with P-20 science and mathematics teachers and faculty.

Graduates of the MSE program are well prepared to assume a variety of positions in colleges, universities, organizations, and informal educational settings to improve the mathematics and science education of children, adolescents, and adult learners through research.

Overview of Requirements (Fall 2013) Heading link Copy link

The program requires a minimum of 98 semester hours beyond the baccalaureate degree and a minimum of 66 semester hours beyond the master’s degree.  These requirements include completion of a 12-hour Doctoral Studies Core, a 12-hour methodology requirement, 12 hours of the MSE program core, and 12 hours in one of the two disciplinary strands (i.e., mathematics education or science education). Students are required to pass written and oral portions of a preliminary examination and successfully defend their dissertation research.  Requirements are as follows for students who enter the program with an earned master’s degree.

  • COE Doctoral Studies Core –12 hours
  • Methodology Requirement – 12 hours
  • Mathematics and Science Education Program Core – 12 hours
  • Proseminar in Curriculum and Instruction – 2 hours
  • Mathematics  or  Science Education Specialization – 12 hours
  • Teaching Apprenticeship, Research Project, or Independent Study – 4 hours
  • Preliminary Examination – Written Portion
  • Preparation of a Dissertation Research Proposal
  • Preliminary Examination – Oral Portion
  • Dissertation Research – 12 hours (minimum)
  • Dissertation Defense

Students who enter with a bachelor’s but not a master’s degree must take up to 32 hours of additional course work (the equivalent of a master’s degree) in an area of specialization.

Doctoral Studies Core (12 hours) Heading link Copy link

All doctoral degrees in the College of Education require a core of courses that focuses on different types of research in educational settings, research design, and the analysis of educational data.  These core courses will help you develop the  minimum  skills needed to evaluate research literature and to begin your own independent research.  You are encouraged to take these core courses early in your program; however, you may take other courses in the program before completing this set of courses.

The requirements of the Doctoral Studies Core are:

  • ED 504—Urban Contexts and Educational Research (4 hours)
  • ED 505—Introduction to Educational Research: Paradigms and Processes (4 hours)
  • ED 506—Introduction to Educational Research: Designs and Analyses (4 hours)

Methodology Requirement (12 hours) Heading link Copy link

In addition to the Doctoral Studies Core above, you must take a minimum of three research methodology courses as described below.  Note also that you may choose or be encouraged by your faculty advisor to take additional courses in research methodology beyond these minimums in order to meet your personal scholarly and professional goals.

The Methodology Requirement includes:

  • ED 502—Essentials of Qualitative Inquiry in Education (4 hours)
  • ED 503/EPSY 503—Essentials of Quantitative Inquiry in Education (4 hours)
  • A third methodology course selected in consultation with your advisor (4 hours)

Math and Science Concentration Program Core (12 hours) Heading link Copy link

  • CI 517 – The Sociopolitcal Context of Mathematics and Science Education (4 hours)
  • CI 518 – Race, Identity, and Agency in Mathematics and Science Education (4 hours)
  • CI 573 – Multimodality, Multiliteracies, & Science and Mathematics Education (4 hrs)

Proseminar in Curriculum and Instruction (CI 500, 2 hours) Heading link Copy link

CI 500 is designed to help you meet faculty members and be introduced to the wide range of research approaches used in the field of curriculum studies in general, including mathematics and science education.

Mathematics or Science Education Specialization (12 hours – Choose 3 Courses) Heading link Copy link

  • CI 516 – Research on Mathematics Teachers and Teaching (4 hours)
  • CI 519 — Research on the Learning of Mathematics (4 hours)
  • CI 520 – The K-12 Mathematics Curriculum: Theory, Politics, and Reform (4 hrs)
  • CI 566 – Research on Science Curriculum (4 hours)
  • CI 567 – Research on Science Teaching and Teacher Education (4 hours)
  • CI 570 – Research on Science Learning (4 hours)

Teaching Apprenticeship, Research Project, or Independent Study (CI 592, 593, or 596, 4 hours) Heading link Copy link

You should complete at least 4 hours from among the following options:

Teaching Apprenticeship (CI 592)

An apprenticeship in teaching is strongly recommended for those individuals intending to pursue a career in higher education.  The apprenticeship in teaching requires that you register for CI 592—Apprenticeship in Teacher Education and co-teach a university course under the direction of a faculty sponsor.  The course that you teach should be related to your interests and future career objectives.  A faculty member will be the instructor of record and will supervise you closely throughout the internship.  You will assume responsibility for course instruction, student interaction, and evaluation to the extent negotiated with the instructor.  In addition to this apprenticeship in teaching, you are also encouraged to seek opportunities to deliver guest lectures in other classes offered by the faculty.

Research Project (CI 593)

The research project is an important beginning experience in doing actual research in a chosen area of study.  The research project may also give you an opportunity to explore and pilot ideas for your dissertation research.  You may seek out any faculty to guide and oversee your research project.  Ideally, you would engage in all aspects of research from design through execution, analysis, and writing of results. Such work may lead to a presentation at a scholarly conference or to submission of a manuscript to a professional journal or other publication (e.g., a book chapter, journal paper, etc.).  See Section V on the possible need for IRB approval before conducting a research project. Collaborating with faculty on a larger research project may also be used to fulfill this requirement.

You should consult with your faculty advisor to determine when you are ready to embark on a research project.  You must then find a faculty member to help design and conduct the project.  This faculty member may be your program advisor or another faculty member who has particular expertise and experience to support the project.

Independent Study (CI 596)

In consultation with your advisor, and with the agreement and approval of a supervising faculty member, you may choose to register for an Independent Study (CI 596) project.   This option allows you to design, implement and analyze the results of a research problem in your area of specialization.

Annual Reviews Heading link Copy link

You are required to submit a formal progress report each year.  These reports provide you with an opportunity to reflect on whether you are meeting your goals while allowing faculty to assess whether adequate progress is being made.  Program faculty review and discuss these reports and provide written feedback to you about whether you are meeting expectations.  Recommendations for ways to enhance or sustain your progress are a likely result of this process.  If you are not making adequate progress you may be placed on probation and given directive feedback on how to proceed.

Preliminary Examination Heading link Copy link

The purpose of the preliminary examination is to determine your readiness to undertake dissertation research.  The examination has two parts: a written portion (written prelims) that focuses primarily on your program of study, and an oral portion (oral prelims) that focuses primarily on your dissertation proposal.  Passing the preliminary examination constitutes formal admission to candidacy for the PhD.

Written prelims should be taken when you have completed your coursework, or concurrently with your last course(s).  Oral prelims should be taken after you pass the written prelims  and  have completed your dissertation proposal.  Passing the oral prelims constitutes approval of your dissertation research direction.  Before beginning your dissertation research, you must also receive approval from the Institutional Review Board (IRB) if the research involves human subjects (see Section V).

Written Prelims Heading link Copy link

You should begin making arrangements to take the written prelims when you have finished, or you are almost finishing, your coursework.  First, you must find a faculty member to chair your written prelims committee.  Your faculty program advisor can help with this task.  Your program advisor may serve as a your committee chair, or you may identify another Mathematics and Science Education program faculty member whose interests and expertise align more closely with your program of study and dissertation research.  You should work with the committee chair to identify and recruit at least two other members to serve on your written prelims committee. Your written prelims committee may, or may not, grow into your 5-member dissertation committee that evaluates your oral prelims, which is the defense of your dissertation proposal.  Thus, as you put together your written prelims committee, know the guidelines for the composition of the oral prelims committee, which is the same as your dissertation committee.

The chair of the written prelims committee will convene the other committee members to develop questions for the exam.  Generally, these questions ask you to integrate and apply knowledge and understandings gained from your coursework, research project, and independent readings with an eye onto your dissertation research direction.  You may choose to take the exam at the university or as a take-home assignment.  Written prelims are evaluated on a pass/fail basis.  If necessary, the entire exam or some portion can be retaken once.  After you have passed this exam, the chair will submit a form indicating this accomplishment to the College of Education Office of Student Services for inclusion in your file.

Dissertation Proposal Heading link Copy link

Your coursework, research project, independent readings, and written prelims should give you a good start on planning your dissertation research.  After passing the written prelims, you must complete a proposal for your dissertation research that you will defend during your oral prelims.

Dissertation research may be developed from the many possibilities related to your area of study and from a variety of research traditions.  The process of writing a dissertation proposal is challenging, but it provides great opportunities for creative and personally rewarding work.  Students often find it helpful to draw on their studies to date and avail themselves of the advice and support of their committee chair and members, other faculty, and fellow students whenever possible. Dissertation proposals may take many forms and be of varying lengths.  The organization, content, and length of the proposal are issues that you should decide in consultation with the chair of your dissertation committee.

When you and your committee chair agree that the dissertation proposal is ready for review and approval, you will work with the chair to distribute the proposal to members of your oral prelims committee (see below under Oral Prelims section) and schedule the defense of your proposal.  The proposal should be distributed to committee members for review at least three weeks before the scheduled date.  It is strongly recommended that a draft of the IRB application is included in the proposal.  As a rule, you should not submit your application to the IRB before the oral prelims are completed because committees may make recommendations for changing research protocols during the exam (i.e., proposal defense).  See Section V for information about IRB requirements and procedures.

Oral Prelims Heading link Copy link

The oral prelims are a hearing on the dissertation proposal with the primary function to assess and approve the dissertation research proposal.

Although the oral prelims committee can be later changed if needed, it should generally be expected to serve also as your dissertation committee and formed accordingly.  The dissertation committee should consist of five members including your chair who must be a Mathematics and Science Education program faculty. At least three members, including the chair, must be UIC faculty who are full members of the Graduate College.  Tenured or tenure-track faculty are usually full members of the Graduate College; clinical and visiting faculty generally are not.  Links to a listing of full members are available on the Graduate College website:  http://grad.uic.edu/cms/?pid=1000207 .  At least two committee members must be tenured faculty in the College of Education (i.e., associate professors or professors).  Also, at least two members must be Mathematics and Science Education program faculty.  The Graduate College also requires that a member is from outside the Program (see Section IV).  You should work with your oral prelims committee chair to identify and recruit at least four other members (possibly including any who have served on your written prelims committee) to serve on your oral prelims committee.

In order to formally constitute the oral prelims committee, you must submit to the Graduate College a Committee Recommendation Form.  This form may be obtained from the Graduate College’s website:  http://grad.uic.edu/cms/?pid=1000329 .    At the same time, you should ask the College of Education Office of Student Services (3145 EPASW) for a degree checklist (see Section IV).  A list of the courses taken is available through the my.UIC portal:  https://my.uic.edu/common/  . You must return the completed degree checklist with the signed Committee Recommendation Form to the College of Education Office of Student Services.   The completed form must be signed by the committee chair and submitted to the College of Education   Office of Student Services at least three weeks before the date of the examination.   Before submitting this form, you must be sure that the faculty members identified to serve on the committee have agreed to serve.  If you want to include a committee member who is  not  on the faculty at UIC or is  not  a member of the UIC Graduate College, the Graduate College must approve that member.  This approval process is initiated when the Committee Recommendation Form is submitted to the College of Education Office of Student Services.  A copy of the potential committee member’s full current curriculum vitae must be submitted with the Committee Recommendation Form.

The oral prelims are evaluated on a pass-fail basis.  If two or more members of the oral prelims committee assign a failing grade, the student fails the exam. Students who fail are sometimes asked to do additional work on or to revise their dissertation proposal before their committee gives final approval.  Even if the committee does not fail a student, it may require that the student make particular changes in the dissertation proposal before the proposal is approved.

Passing the oral prelims signifies that committee members have given their approval for you to carry out your proposed dissertation research.  Once you have reached this point, you must submit the final version of the IRB application for approval (see Section V).  Before an application is submitted to the IRB, you must have it reviewed and signed by the committee chair and the chair of the Curriculum and Instruction Department.

Dissertation Research (CI 599, 12 hours minimum) Heading link Copy link

After passing the oral prelims and receiving approval from the IRB, you may begin your dissertation research.  You must register for a minimum of 12 hours of dissertation credit during the time you conduct and write up your study.  After registering for the minimum of 12 hours of dissertation credit, if you have passed both the written and oral prelims, you may petition the Graduate College to be permitted to register for 0 (zero) hours of dissertation credit.  If permission is granted, you may continue to register for 0 hours if you continue to make satisfactory progress and are within the time limits for completion of the degree.  Note that even if you are eligible and successfully petition the Graduate College to register for 0 hours, you still  must  register  for 0 hours each semester until you have successfully defended the dissertation (although you do not need to register for 0 credits for the summer session unless the defense will be held during the summer).

The Graduate College makes an exception to the above registration requirement if the defense will occur during the late registration period for a term; in those cases, a doctoral defense will be allowed without student registration in that term.  This is assuming that you were registered the previous term, or the previous spring term in the instance of a fall defense (which should be the case since, as stated above, continuous registration is required).  The late registration period is the official first ten days of any fall or spring semester and the first five days of the summer term.  If you defend after the 10 th  day (5 th  in summer) you must be registered.

If you hold a fellowship, assistantship and/or tuition waiver, and do not resign from it, then registration is mandatory for the number of hours required to hold the award or assistantship.  If you hold a student visa, you probably do not have to register if you leave the country by the 10 th  day (5 th  in summer), although this should be verified with Office of International Services.

This (late period registration defense) exception does not affect the registration requirement to take the Preliminary Examination, or the general requirement of continuous registration from Preliminary Examination to defense.  Failure to register continuously may result in being administratively dropped from the program.  You should refer to Section IV for important additional information about constituting a dissertation committee and conducting dissertation research.

Dissertation Defense Heading link Copy link

When nearing the end of dissertation research, you should begin to plan your dissertation defense with your dissertation committee chair.  See Section IV for specific information about organizing and scheduling a dissertation defense and filing all the paperwork required before the defense can be conducted.

According to Graduate College regulations, at least one year must pass between completing the oral prelims and the dissertation defense.  If you fail to complete all program requirements, including the dissertation defense, within five years of passing the oral prelims, you must retake them.

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  • Department of Mathematics
  • Faculty of Natural Sciences
  • Departments, institutes and centres
  • Postgraduate
  • Doctoral programme
  • Prospective students

Mathematics Research (PhD) – Overview

Queen's Tower at dusk panorama

The standard route of our PhD programme is full time (4 years). In exceptional cases Postgraduate research may also be done on a part time basis (6-8 years).

Your progress will be monitored through a series of annual progression points called PhD Milestones, and you will be required to present your research each year. This is to ensure you are making sufficient progress, as well as an opportunity for valuable feedback. You must pass each PhD milestone to continue your registration.

Research Plan Confirmation (RPC) Early Stage Assessment (ESA) Late Stage Review (LSR) Year 3 Progress Review Thesis Submission

Compulsory Courses

  • The Graduate School courses: The College requires all doctoral students to achieve a minimum of four Graduate School credits by LSR date. 
  • The department requires that in the first two years of their PhD students participate in 100 hours of postgraduate courses/activities in their research topic and related areas to broaden their knowledge. These activities can be postgraduate lectures, workshops, seminars, or conferences.

Academic Conferences

You are encouraged to participate in conferences and workshops to engage with research field. You will have access to funding (Research Training Support Grant) to allow you to attend and present your work to the wider academic community.

Student Support and Welfare

We understand the challenges that come with embarking on a PhD journey and have a dedicated team ready to provide all the support and guidance you need. As a PhD student at Imperial, you’ll have access to a Student Experience Team and a designated Student Wellbeing Adviser in the Department of Mathematics, who are committed to enriching your experience beyond academics. For any welfare concerns, you can also reach out to the Senior Postgraduate Welfare Tutor. Additionally, you can receive further support from external services such as counselling.

Three Minute Thesis Competition

The Three Minute Thesis Competition (3MT) is an exciting, fast-paced event showcasing the research of graduate students across campus. Each scholar is given three minutes to present their research displayed to the audience and judging panel in a single presentation slide. The competition boasts cash prizes for winners in each category.

You'll be amazed at what these scholars can fit into a three-minute presentation. You don't want to miss this competition!

Our graduate students have had an impressive showing at the regional 3MT competition at the Western Association of Graduate Schools annual conference. In 2023, Jennifer Heppner won third place and in 2024, Kendra Isable won second place. 

The 2024 competition will be hosted in the Spring semester with two preliminary rounds in early March and the finals in April.

Learn more about our competition

Join our competition, preliminary round.

The top four contestants from groups A1, B1, A2 and B2 will be awarded $300 and will compete in the final round. Submit your presentation using the appropriate Group description link below.

Liberal Arts/Social Sciences/Education/Business

Wednesday, March 6, 2024, at 6 p.m. in the Wells Fargo Auditorium (MIKC 124)

  • Group A1: Doctoral Dissertation Students
  • Group B1: Master's Thesis Students

Sciences/Engineering/Mathematics/Health Sciences

Thursday, March 7, 2024, at 6 p.m. in the Wells Fargo Auditorium (MIKC 124)

  • Group A2: Doctoral Dissertation Students
  • Group B2: Master's Thesis Students

Final round

Thursday, April 11, 2024, at 7 p.m. in the Wells Fargo Auditorium (MIKC 124)

In the final round you'll compete against the eight finalists at your degree level:

  • Group A — Doctoral Students (Four students from A1 and four students from A2)
  • Group B — Master's Students (Four students from B1 and four students from B2)

Award amounts

Winners from each group of the final round will be awarded as follows:

  • First Place: $1,000
  • Second Place: $600
  • Third Place: $400
  • Peoples' Choice: $500

Deadline and application form

Applications are due February 29 by 11:59 p.m.

Preliminary submission form

Competition rules and terms

Presentation:.

  • A single, static PowerPoint slide in 16x9 format is required (pdfs not allowed).
  • Include your presentation title, full name, and graduate program on the slide.
  • First-place winners from the last year's 3MT competition are ineligible to compete, however, last year's second- and third-place winners are eligible to compete.
  • No slide transitions, animations or on-screen movement of any description are allowed.
  • The slide is to be presented from the beginning of the oration.
  • No additional electronic media (e.g. sound and video files) are permitted.
  • No additional props (e.g. costumes, musical instruments, laboratory equipment) are permitted.
  • Presentations are limited to three minutes maximum; competitors exceeding three minutes are disqualified.
  • Presentations are to be spoken word (e.g. no poems, raps or songs).
  • Presentations are to commence from the stage.
  • Presentations are considered to have commenced when a presenter starts their presentation through either movement or speech.
  • The decision of the adjudicating panel is final.
  • All monetary awards for both preliminary and final rounds are pre-tax amounts.
  • Abstracts are limited to 250 words.
  • Students must be graduate students to enter the competition.
  • While advancement to candidacy is not required, students must have made significant progress towards completion of their dissertation, thesis, or professional project in order to enter the competition.
  • Winners will be announced approximately one week after the competition.
  • You will be asked to sign a photo-video release at the event to allow the University of Nevada, Reno to use your likeness in photos/videos of the competition.

Judging criteria

Comprehension & content.

  • Did the presentation provide an understanding of the background to the research question being addressed and its significance?
  • Did the presentation clearly describe the key results of the research including conclusions and outcomes?
  • Did the presentation follow a clear and logical sequence?
  • Was the thesis topic, key results and research significance and outcomes communicated in language appropriate to a non-specialist audience?
  • Did the speaker avoid scientific jargon, explain terminology and provide adequate background information to illustrate points?
  • Did the presenter spend adequate time on each element of their presentation - or did they elaborate for too long on one aspect or was the presentation rushed?

Engagement & Communication

  • Did the oration make the audience want to know more?
  • Was the presenter careful not to trivialize or generalize their research?
  • Did the presenter convey enthusiasm for their research?
  • Did the presenter capture and maintain their audience's attention?
  • Did the speaker have sufficient stage presence, eye contact and vocal range; maintain a steady pace, and have a confident stance?
  • Did the PowerPoint slide enhance the presentation - was it clear, legible, and concise?

View past Three Minute Thesis winners

View the winners of each year since 2014!

View past winners

2022-2023 Finalists and winners

3MT winners posing as a group with large checks

Doctoral category

First place: cody cris.

  • Graduate program:  Cell and Molecular Biology
  • Title:  Lighting the way: Tools to prepare for future pandemics
  • Faculty advisor:  Subhash Verma

SECOND PLACE: Anithakrithi Balaji

  • Graduate program: Biomedical Engineering
  • Title: Electrifying the fight-or-flight response: Nanosecond electric pulses for neuromodulation
  • Faculty advisor: Jihwan Yoon

THIRD PLACE: Noah Nieman

  • Graduate program:  Civil and Environmental Engineering
  • Title:  Accelerating bridge construction connections behavior during near fault motions
  • Faculty advisor: Floriana Petrone

2024 Finalists:

Francisco calderon abullarade.

  • Graduate program: Ph.D. History
  • Title: Creating the Enemy: The origins of the inter-american cold war in the 1940s
  • Faculty advisor: Renata Keller

Anithakrithi Balaji

  • Graduate program: Ph.D. Biomedical Engineering
  • Title: Electrifying the fight-or-flight response: Nanosecond electric pulses for neuromodulation 

Monika Bharti

  • Graduate program: Ph.D. Education - Literacy Studies
  • Title: P re-service teachers experiences teaching K-8 Multilingual Students' (MLS) writing
  • Faculty advisor: Rachel Salas and Fares Karam

Cossette Canovas

  • Graduate program: Ph.D. Clinical Psychology
  • Title: Identifying predictors of racial trauma to inform treatment development 
  • Faculty advisor: Lorraine Benuto
  • Graduate program: Ph.D. Cell and Molecular Biology
  • Title:   Lighting the way: Tools to prepare for future pandemics 
  • Faculty advisor: Subhash Verma

Kaashifah 

  • Graduate program: Ph.D. Education - Equity, Diversity and Language
  • Title: Bridging  the gaps: Evaluating the intervention programs to overcome academic disparities 
  • Faculty advisor: Donald Easton-Brooks

Noah Nieman

  • Graduate program: Ph.D. Civil and Environmental Engineering
  • Title: Accelerating bridge construction connections behavior during near fault motions 

Sanjeevan Pradhan

  • Graduate program: Ph.D. Political Science
  • Title: Tough sell: Rising powers, domestic legitimation and costly international initiatives 
  • Faculty advisor: Xiaoyu Pu

Patricia Berninsone People's Choice Award

Abdulwarith kassim.

  • Graduate program: Chemistry
  • Title: Chemically recyclable dithioacetal polymers
  • Faculty advisor:  Ying Yang

Master's category

First place: abdulwarith kassim.

  • Faculty advisor: Ying Yang

SECOND PLACE (TIE): 

  • Name:  Elizabeth Everest
  • Graduate program: Ecology, Evolution and Conservation Biology
  • Title: Sustaining the beating heart of Cambodia: Fisheries management in southeast Asia's largest lake
  • Faculty advisors: Zeb Hogan, Sudeep Chandra, Ken Nussear
  • Name:  Cathy Silliman
  • Title: Winterfat restoration in a changing climate
  • Faculty advisor: Elizabeth Leger 

Samantha DeTiberiis

  • Graduate program: M.A. Criminal Justice 
  • Title: What do our phones teach us about incarceration? A social media content analysis 
  • Faculty advisor: Jennifer Lanterman

Elizabeth Everest 

  • Graduate program: M.S. Ecology, Evolution and Conservation Biology 
  • Title:   Sustaining the beating heart of Cambodia: Fisheries management in southeast Asia's largest lake 
  • Faculty advisor: Zeb Hogan, Sudeep Chandra, Ken Nussear

Carolynn Fedarko 

  • Title: Zeroing in on gun violence
  • Faculty advisor: Weston Morrow

Shipra Goswami

  • Graduate program: M.S. Biochemistry
  • Title: May the pericytes be with you: Transport engineers you never knew existed!
  • Faculty advisor: Albert Gonzales
  • Graduate program: M.S. Chemistry 

Anthony Michell

  • Graduate program: M.A. History
  • Title: Pushed to the limit: How the 1998 China floods revolutionized the relationship between China and the natural world
  • Faculty advisor: Hugh Shapiro

Elizabeth Morgan

  • Graduate program: M.S. Teaching History (M.A.T.H.)
  • Title: Dust in the wind dude: The Owens Valley everywhere except, in the Owens Valley
  • Faculty advisor: Edward Schoolman

Cathy Silliman

  • Graduate program: M.S. Ecology, Evolution and Conservation Biology
  • Faculty advisor: Elizabeth Leger

IMAGES

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VIDEO

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  4. Thesis/ Dissertation Formatting and Guidelines Workshop

  5. Get the DST WISE PhD Fellowship for Indian Women!

  6. How to Prepare for Your Doctoral Dissertation

COMMENTS

  1. Harvard Mathematics Department Harvard Department of Mathematics PhD

    Find online access to most Harvard PhD dissertations from 2012 forward in DASH, Harvard's open-access repository. Browse through an extensive collection of older dissertations on ProQuest Dissertation and Theses Search.

  2. PhD Dissertations

    The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times.

  3. Harvard Mathematics Department Harvard Department of Mathematics PhD

    Below is a list of PhD dissertations written by students at the Harvard Department of Mathematics. All scholars can order copies of most Harvard dissertations from 1982 to the present by contacting UMI/ProQuest at 1-800-521-3042. Permission of the author is usually required to copy theses within the last five years.

  4. Recent PhD Theses

    2023 Qingci An (F. Lu)Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems Letian Chen (J. Bernstein)On Mean Curvature Flows coming out of Cones Ben Dees (C. Mese)On the Singular Sets of Harmonic Maps into F-Connected Complexes Lili He (H. Lindblad)The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes ...

  5. Recent PhD Theses

    Modeling and simulation of uni- and multi-flagellar bacterial locomotion in a viscous fluid. PhD Theses 2022. Author. Title. James Petrie. Decentralized contact tracing protocols and a risk analysis approach to pandemic control. Yiming Meng. Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties.

  6. Dissertations and Placements 2010-Present

    2024. Emily Dautenhahn. Thesis: Heat kernel estimates on glued spaces. Advisor: Laurent Saloff-Coste. First Position: Assistant Professor at Murray State University. Elena Hafner. Thesis: Combinatorics of Vexillary Grothendieck Polynomials. Advisor: Karola Meszaros. First Position: NSF Postdoctoral Fellow,, at University of Washington.

  7. Mathematics, PhD

    Mathematics, PhD. The department offers the doctor of philosophy degree with a major in mathematics and a master of arts degree in mathematics. The PhD degree requires proficiency in basic and advanced graduate mathematics and the completion of a dissertation containing a significant piece of original research in some area of mathematics.

  8. PhD Dissertations in Mathematics

    2003. David Seida. Janos Turi. Estimation of Attitude Parameters from Variation in Image Overlap. 2002. Kathryn Flores. Viswanath Ramakrishna. Classical and Quantum Controls from Decomposition of Unitary Matrices. See a list of PhD Dissertations in Mathematics over the last 20 years at The University of Texas at Dallas.

  9. Mathematics Department

    The doctoral dissertation (or thesis) is completed under the direction of a thesis advisor, and must be approved by a faculty committee of (at least) four members, one of which is an ''outside member". ... Here is a guide to producing a Mathematics thesis in LATeX in accordance with the style guide. Writing mathematics well faces particular ...

  10. Harvard Mathematics Department Senior Thesis and PhD Thesis

    For PhD Thesis, see here.This page is about Senior thesis. In order that senior thesis produced by Harvard math students are easier for other undergrads to benefit from, we would like to exhibit more senior theses online (while all theses are available through Harvard university archives, it would be more convenient to have them online).It is absolutely voluntary, but if you decide to give us ...

  11. Mathematics PhD theses

    A list of Mathematics PhD thesis titles and abstracts from 1992 to 2024, some of which are available online. The topics include applied mathematics, numerical methods, data assimilation, fluid dynamics, polymer science, and more.

  12. Mathematics and Statistics Theses and Dissertations

    Theses/Dissertations from 2022 PDF. Application of the Riemann-Hilbert method to soliton solutions of a nonlocal reverse-spacetime Sasa-Satsuma equation and a higher-order reverse-time NLS-type equation, Ahmed Ahmed. PDF. New Developments in Statistical Optimal Designs for Physical and Computer Experiments, Damola M. Akinlana. PDF

  13. Mathematics thesis and dissertation collection

    Estimation and application of Bayesian Hawkes process models . Deutsch, Isabella (The University of Edinburgh, 2024-03-13) In this thesis, we examine various facets of Bayesian approaches to Hawkes Processes. Hawkes Processes are a flexible class of point processes that are used to model events that occur in clusters or bursts, as classic ...

  14. Dissertations

    Here is the complete list of all doctoral dissertations granted by the School of Math, which dates back to 1965. Included below are also all masters theses produced by our students since 2002. A combined listing of all dissertations and theses, going back to 1934, is available at Georgia Tech's library archive. For the post PhD employment of our graduates see our Alumni Page.

  15. Mathematics Theses, Projects, and Dissertations

    Browse the list of mathematics theses, projects, and dissertations from California State University, San Bernardino. Find topics such as knots, inverse Gaussian model, symmetric presentations, matroids, and more.

  16. DataSpace: Mathematics

    Browse the list of mathematics dissertations submitted by Princeton University students from 2011 to 2024. Find topics such as cusp forms, black hole thermodynamics, algebraic geometry, minimal hypersurfaces, and more.

  17. Mathematics Theses and Dissertations

    Theses/Dissertations from 2021. PDF. Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington. PDF. Polynomials, Primes and the PTE Problem, Joseph C. Foster. PDF. Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat. PDF.

  18. Dissertation Filing Requirements

    Dissertation Filing Requirements. The final requirement in the Math Department's PhD program is filing the dissertation. The dissertation committee has the responsibility for determining whether a submitted dissertation draft is acceptable for the PhD. It is the responsibility of the student to keep in touch with all members of the committee ...

  19. Mathematics Education Theses and Dissertations

    Mathematics Education Theses and Dissertations

  20. Doctoral theses

    Doctoral Thesis, Zurich, ETH Zurich, 2021. The work presented in this thesis aims to extract signals from complex large-scale data. The contributions are at the intersection of developing novel statistical methodology, computationally efficient algorithms and corresponding open source software.

  21. Department of Mathematics: Dissertations, Theses, and Student Research

    PhD candidates: You are welcome and encouraged to deposit your dissertation here, but be aware that 1. it is optional, not required (the ProQuest deposit is required); and 2. it will be available to everyone online; there is no embargo for dissertations in the UNL Digital Commons. Master's candidates: Deposit of your thesis or project is required.

  22. Mathematics Doctoral Dissertations

    Mathematics Doctoral Dissertations. A reverse-chronological list of doctoral dissertations awarded by the department. A link on a person's name goes either to their webpage or to recent news or information about them. The link from the dissertation title leads to the university library. Most dissertations since 2003 are available electronically ...

  23. Overview: PhD Mathematics & Science Education

    The MSE PhD program spans P-20 mathematics and science education in urban settings in and out of schools. The focus is on developing new knowledge that improves science and mathematics education and has an impact on the communities we serve. ... Dissertation research may be developed from the many possibilities related to your area of study and ...

  24. Mathematics Research (PhD)

    Compulsory Courses. The Graduate School courses: The College requires all doctoral students to achieve a minimum of four Graduate School credits by LSR date.; The department requires that in the first two years of their PhD students participate in 100 hours of postgraduate courses/activities in their research topic and related areas to broaden their knowledge.

  25. Three Minute Thesis at Nevada

    This exciting graduate student competition highlights research in a fast-paced and fun way that's enjoyable for everyone in attendance. One scholar. One slide. One panel of judges. And three minutes ot give it all they've got.