Syllabi will be posted after passing orals. In the table below, "TeX" means some dialect of TeX, which can usually be compiled with a plain TeX or LaTeX command.
Student  Date  Topics 
Formats 

Mahmoudian, Hamidreza  April 2020  Hamilton’s Ricci Flow, Second Order Linear Elliptic and Parabolic PDEs  
Xu, Weihong  January 2020  Schemes, Cohomology Theory of Sheaves, Curves, The Geometry of Flag Varieties, Linear Algebraic Groups  
Wu, Xiaoxu  January 2020  Functional Analysis  
RamirezIbanez, Cesar  February 2020  Topics in Probability on metric spaces, Stochastic Processes, Optimal Transport  
MartinHagemeyer, Rory  February 2020  Mean Curvature Flow  
Lichter, Tamar  February 2020  Quadratic Forms over Fields of Characteristic 6= 2 (Major Topic)  
Herrera, David  April 2020  Functional Analysis and Operator Algebras  
Fonseca, Johnny  March 2020  FiniteDimensional Lie Algebras  
Davidov, Yael  December 2019  Central Simple Algebras and Galois Cohomology, Commutative Algebra  
Gaudet, Louis  December 2019  Analytic Number Theory, Algebraic Number Theory  
Kim, Doyon  December 2019  Elliptic Curves, Modular forms, Analytic Number Theory  
Yang, Yuxuan  December 2019  Combinatorics and Graph Theory, Probabilistic Method, Algebraic Method, Representative Theory  
Gappo, Takehiko  December 2019  Set Theory, Model Theory and Recursion Theory  
Chanda, Soham  November 2019  Algebraic Topology, Symplectic Geometry  
Zhu, Songhao  October 2019  Lie Algebras, Representation Theory  
Yap, Corrine  October 2019  Combinatorics, Combinatorial Group Theory  
Chayes, Victoria  September 2019  Functional Analysis, Topics in Mathematical Physics  
Holland, James  April 2019  Set Theory, Model Theory, Recursion Theory  
Pham, Doanh The  April 2019  Partial Differential Equations, Functional Analysis  
Chen, Xiao  March 2019  Mathematical Finance, Stochastic Process  
Wang, Jikang  February 2019  Comparison and Metric Riemannian Geometry, Partial Differential Equation  
Lee, Heejin  February 2019  Partial Differential Equations, Functional Analysis  
Huynh, Andy  December 2018  Algebraic Topology, Riemann Surfaces  
Jones, Edna  December 2018  Modular Forms and Ergodic Theory  
Zhu, Xiaoping  November 2018  Algebraic Topology, Riemann Surfaces  
Karlovitz, Alexander  November 2018  Modular Forms, Analytic Number Theory and Ergodic Theory  
Ogrodnik, Brooke  November 2018  Automorphic Forms, Analytic Number Theory  
Hund, Parker  October 2018  PDE, Functional Analysis, Mathematical Physics  
Saied, Jason  October 2018  Finitedimensional Lie Algebras, Vertex Operator Algebras  
Zhang, Xindi  October 2018  Symplectic Geometry, Algebraic Topology  
Hauser, George  April 2018  Modular Forms, Analytic Number Theory, Algebraic Number Theory 
PDF

Hohertz, Matthew 
April 2018  Combinatorics, Graph Theory, Complexity Theory, Probabilistic Method  
Yao, Yukun  February 2018  Experimental Mathematics, Combinatorics, Graph Theory, Probability Theory  
BiersAriel, Yonah  January 2018  Experimental Math, Combinatorics & Graph Theory  
Semonsen, Justin  December 2017  Combinatorics, Probabilistic Methods, Graphy Theory, Computational Complexity  
Urbanski Wawrzyniak, Chloe  November 2017  Several Complex Variables and Harmonic Analysis  
Lu, Han  November 2017  Partial Differential Equation, Riemannian Geometry  
Chan, Oiloom Vernon  November 2017  Algebraic Geometry, Cohomology Theory, Toric Varieties  
Bang, Jeaheang  November 2017  Partial Differential Equations, Functional Analysis  
Wang, Chengxi  October 2017  Algebraic Geometry  
Castronovo, Marco  September 2017  Symplectic Topology, Algebraic Geometry  
Yang, Zhuolun  April 2017  Partial Differential Equation, Functional Analysis  
Yang, Mingjia  March 2017  Experimental Math, Combinatorics, Graph Theory  
Frankston, Keith  February 2017  Combinatorics, Graph Theory Symmetric Functions  
Park, Jinyoung 
January 2017 
Combinatorics, Graph Theory, Probabilistic method, Additive combinatorics  
Raz, Abigail  January 2017  Combinatorics and Graph Theory; Model Theory  
Ek, Bryan  December 2016  Experimental Math, Combinatorics and Graph Theory  
Flake, Johannes  December 2016  Lie Algebras, Vertex Operator Algebras  
Fu, Xin  October 2016  Analysis and Partial Differential Equations, Topics in Mathematical Physics  
deAmorim, Erik  October 2016  Analysis and Partial Differential Equations, Topics in Mathematical Physics  
Scheinerman, Daniel  August 2016  Combinatorics, Graph Theory, Cryptography  
John Chiarelli  May 2016  Combinatorics, Graph Theory, Computational Complexity  
Suryateja Gavva  May 2016  Analytic Number Theory, Automorphic Forms, Sieve methods, Computational Complexity  
Martin Koberl  May 2016  Set Theory, (Basics, Forcing, Inner Model Theory), Model Theory  
Andrew Lohr  April 2016  Combinatorics, Complexity Theory  
Matthew Welsh  April 2016  Analytic Number Theory, Spectral Methods Automorphic Forms, Geometry of Numbers  
Semen Artamonov  March 2016  Noncommutative algebras, representation theory, vertex operator algebras  
Kelly Spendlove  March 2016  Algebraic Topology and Dynamical Systems  
Samuel Braunfeld  February 2016  Logic, Combinatorics  
Michael Breeling  February 2016  Functional Analysis, Partial Differential Equations  
Matthew Charnley  February 2016  Functional Analysis, Partial Differential Equations  
Lun Zhang  February 2016  Functional Analysis, Partial Differential Equations, Obstacle and free boundary problems  
Katie McKeon  December 2015  Modular forms, Ergodic Theory, Analytic Number Theory  
Anthony Zaleski  December 2015  Experimental Mathematics, Combinatorics  
Joel Clingempeel  November 2015  Algebraic Topology, Automorphic Forms and Representation Theory  
Richard Voepel  October 2015  Diophantine Analysis, Geometry of Numbers, Transcendental Number Theory  
William Cole Franks  May 2015  Combinatorics, Graph Theory, Probabilistic Methods  
Rachel Levanger  May 2015  Algebraic Topology and Computational Topology Probability  
Michael Donders  March 2015  Combinatorics and Graph Theory, Partial Differential Equations  
Rebecca Coulson  March 2015  Mathematical Logic (Model Theory, Basic Set Theory, and Descriptive Set Theory); Combinatorics  
Alejandro Ginory  February 2015  Major Topic: Lie Algebras, Minor: Representation Theory and Symmetric Functions  
Pedro Pontes  December 2014  Sieve Theory, Elliptic Curves, Analytic Number Theory, Algebraic Number Theory  
Ruofan Yan  November 2014  Major Topic: Math Finance, Minor Topic: Probability and Stochastic Calculus  
Nathan Fox  November 2014  Combinatorics and Graph Theory, Computational Complexity  
Hanlong Fang  October 2014  Several Complex Variables, Algebraic Surfaces, Elliptic PDE's and Geometry  
Fei Qi  September 2014  Vertex Operator Algebras, Quasideterminants and Noncommutative Symmetric Functions  
Sijian Tang  June 2014  Combinatorics, Graph Theory, Computational Complexity  
SiaoHao Guo  May 2014  Mean Curvature Flow and Partial Differential Equations  
Jonathan Jaquette  May 2014  Algebraic Topology & Functional Analysis  
Sjuvon Chung  March 2014  Algebraic Geometry, Homological Algebra  
Charles Wolf  March 2014  Combinatorics, Probabilistic Method, Graphy Theory, Computational Complexity  
Ross Berkowitz  January 2014  Combinatorics, Probabilistic Method, Graphy Theory, Number Theory  
John Kim  January 2014  Combinatorics, Probabilistic Method, Graphy Theory, Probability Theory  
Nathaniel Shar  January 2014  Combinatorics, Probabilistic Method, Graphy Theory, Combinatorial game theory  
Edmund Karasiewicz  December 2013  Algebraic Number Theory, Algebraic Geometry, Linear Algebraic Groups, Elliptic  
Vladimir Lubyshev  December 2013  Stochastic Control and Viscosity Solutions  
Jiayin Pan  December 2013  Topic 1: Comparison & Metric Riemannian Geometry; Topic 2: Symplectic Geometry  
Douglas Schultz  December 2013  Symplectic Geometry (Major), Algebric Topology (Minor)  
Liming Sun  December 2013  Partial Differential Equation and Riemannian Geometry  
Tien Duy Trinh  December 2013  Algebraic Number Theory, Analytic Number Theory, Modular Forms, Elli ptic Curves  
Zhuohui Zhang  December 2013  Algebraic Geometry, Elliptic Curves, Analytic Number Theory, Modular Forms  
Bence Borda  November 2013  Discrete Mathematics and Probality Theory  
Patrick Devlin  October 2013  Combinatorics (enumerative, graph theory, probability methods, experimental Math), Probability  
Francis Seuffert  August 2013  Functional Analysis & PDE's  
Jake Baron  January 2013  Combinatorics, Probalistic Methods, Graph Theory, Foundations  
Bud Coulson  December 2012  Vertex Operator Algebras, Descriptive Set Theory  
Charles Wes Cowan  December 2012  Probability and Stochastic Processes, Controleed Markov Processes and Optimization 

Katy Crow Craig  November 2012  Functional Analysis and C* Algebras, Partial Differential Equations  
Bin Guo  December 2012  Complex Geometry, Elliptic Partial Differential Equations, EvansKrylov Theorem for MongeAmpere Equations, PoincareLelong Formula 

Burak Kaya  December 2012  Set Theory, Recursion Theory  
Manuel Larenas  March 2013  Functional Analysis, C*Algebras  
Timothy Naumovitz  December 2012  Combinatorics and Graph Theory, Computational Complexity  
Matthew Russell  May 2013  Enumerative Combinatorics, Graph Theory, Hypergeometric Functions  
Thomas Sznigir  March 2013  Partial Differential Equations, Functional Analysis  
Glen Wilson  December 2012  Algebraic Topology and Cobordism Theory, Homological Algebra and Category Theory 

Jianguo Xiao  March 2013  Functional Analysis, Probability Theory  
Xukai Yan  February 2013  Partial Differential Equations, Functional Analysis  
Howard Nuer  May 2012  Algebraic Geometry, Chronological Methods in Algebraic Geometry, Intersection Theory, Complex Algebraic Surfaces 

Justin Gilmer  April 2012  Combinatorics, Graph Theory, Probabilistic Methods, Boolean Functions  
Brian Garnett  September 2012  Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory  
Edward Chien  April 2012  Algebraic and Differential Topology, Gauge Theory, Symplectic Geometry  
Ming Xiao  March 2012  Complex Analysis in Several Complex Variables, Riemannian and Complex Geometry  
Moulik Kallupalam Balasubramanian  March 2012  Nonlinear Wave Equation, Functional Analysis and Partial Differential Equations, Geometry and Mathematical Physics  
Zhan Li  February 2012  Algebraic Geometry, Homological Algebra, Toric Varieties  
John Miller  December 2011  Analytic Number Theory, Algebraic Number Theory, Modular Forms  
Simao Herdade  December 2011  Combinatorics, Graph Theory, Probablistic Method, Additive and COmbinatorial Number Theory  
Matthew Samuel  October 2011  Algebraic Combinatorics, Algebraic Geometry  
Shashank Kanade  July 2011  Vertex Operator Algebras, Lie Algebras  
Kellen Myers  April 2011  Combinatorics, Graph Theory, Analytic and Additive Methods  
Arran Hamm  April 2011  Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory  
Zahra Aminzare  April 2011  Dynamical Models in Biology, Numerical Analysis  
Christopher Sadowski  March 2011  Vertex Operator Algebras, Lie Algebras  
Priyam Patel  March 2011  Algebraic Topology, Riemann Surfaces, Riemannian Geometry  
Ping Lu  March 2011  Numerical Analysis, Partial Differential Equations  
Knight Fu  March 2011  Algebraic Geometry, Homological Algebra  
Jaret Flores  March 2011  Commutative Algebra, Homological Algebra  
Francesco Fiordalisi  March 2011  Vertex Operator Algebras, KacMoody Algebras  
Ved Datar  March 2011  Complex Geometry, Complex Analysis in Several Variables, Harnack Inequality  
Robert DeMarco  December 2010  Combinatorics, Graph Theory, Probabilistic Methods, Additive Combinatorics  
Jorge Cantillo  March 2010  Analytic Number Theory, Algebraic Number Theory, Modular Forms, Elliptic Curves  
Brandon Bate  March 2010  Algebraic Number Theory, Elliptic Curves, Analytic Number Theory, Modular Forms  
Thomas Tyrrell  February 2010  Elliptic Curves and Algebraic Geometry, Algebraic Number Theory and Modular Forms  
Vidit Nanda  February 2010  Topological Degree Theory, Lie Algebras  
Michael Marcondes de Freitas  February 2010  Ordinary Differential Systems and Monotone Systems, Mathematical Biology  
Ali Maalaoui  February 2010  Topological Methods in Critical Point Theory, Morse Theory  
David Duncan  January 2010  Differential Geometry, Functional Analysis  
Jinwei Yang  December 2009  Vertex Operator Algebras, Group Theory  
Hui Wang  December 2009  Partial Differential Equations, Functional Analysis  
Yusra Naqvi  December 2009  Lie Algebras, Trees and Group Actions  
Brian Nakamura  December 2009  Enumerative Combinatorics, Graph Theory, Hypergeometric Functions  
Robert McRae  December 2009  Vertex Operator Algebras, Lie Algebras  
Susan Durst  December 2009  Noncommutative Localization, Representation Theory  
James Dibble  December 2009  Differential and Riemannian Geometry, Algebraic Topology  
Susovan Pal  October 2009  Riemannian Geometry, Riemann Surfaces  
Hernan Castro  October 2009  Partial Differential Equations, Functional Analysis  
Jay Williams  September 2009  Set Theory, Recursion Theory  
Camelia Pop  September 2009  Probability, Partial Differential Equations, Mathematical Finance  
Tian Yang  May 2009  Algebraic and Differential Topology, Riemannian Geometry  
Ke Wang  April 2009  Combinatorics, Graph Theory, Probabalistic Methods, Probability Theory  
Yunpeng Wang  April 2009  Partial Differential Equations, Riemannian Geometry  
Humberto MontalvanGamez  April 2009  Combinatorics, Graph Theory, Probabilistic Methods, Diophantine Approximations  
Justin Bush  April 2009  Algebraic Topology, Probablility and Martingales  
Brent Young  February 2009  Matematical Physics, Classical PDE's of Mathematical Physics  
Yu Wang  February 2009  Partial Differential Equations, Numerical Solutions for PDEs  
Elizabeth Kupin  February 2009  Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory  
Emilie Hogan  February 2009  Enumerative Combinatorics, Graph Theory, Hypergeometric Functions  
Vijay Ravikumar  January 2009  Algebraic Geometry, Algebraic Topology  
Sushmita Venugopalan  November 2008  Symplectic Geometry, Algebraic Topology  
Tianling Jin  October 2008  Partial Differential Equations, Function Analysis  
Gabriel Bouch  September 2008  Analysis, Riemannian Geometry  
Andrew Baxter  January 2008  Enumerative Combinatorics, Algebraic Topology  
Hoi Nguyen  December 2007  Arithmetic Combinatorics, Discrete Mathematics  
Sara Blight  September 2007  Modular Forms, Elliptic Curves, Analytic Number Theory, Algebraic Number Theory  
Dan Staley  May 2007  Algebraic and Geometric Topology, Algebraic Geometry  
Kevin Costello  May 2007  Probabilistic Methods, LittlewoodOfford Problems, Prior Work on Random Matricies  
Wesley Pegden  April 2007  Graph Theory, Ramsey Theory, Graphs and Groups and Combinatorial Game Theory  
Nicholas Trainor  April 2007  Functional Analysis, Partial Differential Equations and Numerical Analysis  
Padmini Mukkamala  February 2007  Combinatorics, Graph Theory and the Probabilistic Method and Discrete and Computational Geometry  
Paul Raff  February 2007  Combinatorics and Graph Theory and Computational Complexity Theory and Algorithm Analysis  
Amit Priyadarshi  December 2006  Fractal Sets and Demensions and Linear Operator Theory  
Linh Tran  December 2006  Combinatorics and Graph Theory and Probabilistic Methods and Additive Number Theory  
Debajyoti Nandi  November 2006  Lie Algebras and Their Representations and Hopf Algebras  
Reza Rezazadegan  November 2006  Symplectic Geometry and Algebraic Topology  
Yuan Yuan  November 2006  Several Complex Variables and Riemannian Geometry  
Eduardo Osorio  September 2006  Stochastic Calculus and Mathematical Finance and PDE's  
Catherine Pfaff  September 2006  Manifolds and Morse Theory and Coarse Geometry  
Nan Li  September 2006  Riemannian Geometry and Algebraic Topology  
Phillip Matchett Wood  September 2006  Combinatorics, Graph Theory and The Probabilistic Method 

Ming Shi  April, 2006  Stochastic Calculus and Mathematical Finance and Numerical Analysis 

Jawon Koo  April, 2006  Financial Mathematics and PDE's  
Jin Wang  April, 2006  Mathematical Finance and PDE's  
Goran Djankovic  April, 2006  Analytic Number Theory, Algebraic Number Theory  
Luc Nguyen  April, 2006  PDE's and Riemannian Geometry  
Mike Neiman  March, 2006  Combinatorics and Graph Theory, Probability Theory and Probabilistic Methods  
Eric Rowland  March 2006  Experimental Mathematics and Diophantine Approximation  
Colleen Duffy  March 2006  Noncommutative Algebra and Hopf Algebras  
Lara Pudwell  February 2006  Combinatorics and Experimental Mathematics  
Yuan Zhang  February 2006  Several Complex Variables and PDE's  
John Bryk  January 2006  Analytic Number Theory & Algebraic Number Theory  
Tom Robinson  January 2006  Vertex Operator Algebras and Lie Algebras  
Thotsaporn Thonataponanda 
December 2005  Enumerative Combinatorics, Special Functions and Graph Theory  
Ian Levitt  December 2005  Combinatorics, Graph Theory & Probabilistic Method, Discrete Optimization  
Scott Schneider  November 2005  Descriptive Set Theory, Classical Groups  
Ren Guo  November 2005  Algebraic Topology and Riemannian Geometry  
Biao Yin  October 2005  Elliptic PDE's and Riemannian Geometry  
Jared Speck  September 2005  Fourier Analysis, Mathematical Physics and PDE's  
Ben Bunting  June 2005  Partial Differential Equations and Functional Analysis  
Samuel Coskey  May 2005  Set Theory and Ergodic Theory  
Paul Ellis  May 2005  Set Theory and Classical Groups  Word 
Pablo Angulo  April 2005  Elliptic PDE's and Differential Topology  
Sarah Genoway  April 2005  Commutative Algebra and Computational Geometry  
Chris Stucchio  March 2005  Asymptotics and Semilinear Schrödinger Equations 

Brian Manning  February 2005  Riemannian Geometry, Algebraic Topology  
ShiTing Bao  February 2005  PDE's and Functional Analysis  
Sujith Vijay  November 2004  Combinatorial Number Theory, Diophantine Approximations, Combinatorial Game Theory  
Sikimeti Mau  October 2004  Lie Groups, Functional Analysis  
Liming Wang  April 2004  Mathematical Biology, PDE's  
Vince Vatter  March 2004  Combinatorics, Graph Theory, Probability  
Mohamud Mohammed  December 2003  Experimental Mathematics, Combinatorics and Graph Theory  
Jason Tedor  December, 2003  Complex Analysis, Harmonic Analysis  
Brian Lins  December, 2003  Functional Analysis, Harmonic Analysis  
Thuy Pham  December, 2003  Commutative Algebra, Homological Algebra  
Ben Kennedy  December, 2003  Functional Analysis, Riemannian Geometry  
Roman Holowinsky  October 2003  Analytic and Algebraic Number Theory  
Satadal Ganguly  September 2003  Analytic and Algebraic Number Theory  
William Cuckler  September 2003  Combinatorics and Graph Theory, Probability Theory  
Andrei Zherebtsov  June 2003  Partial Differential Equations, Functional Analysis  
Alex Zarechnak  May 2003  Bohmian Mechanics, Differential Geometry  
Corina Calinescu  May 2003  Vertex Operator Algebras, KacMoody Algebras  
Zhixiang Wang  April 2003  Vertex Operator Algebras, Riemannian Geometry  
Qinian Jin  February 2003  Elliptic PDE's, Riemannian Geometry  
Fernando Louro  December 2002  Control Theory, Asymptotics  
German Enciso  December 2002  Harmonic Analysis, Numerical Solutions of PDE's  
Haoyuan Xu  November 2002  Functional Analysis, PDE's  
Nicolas Weininger  September 2002  Combinatorics and Graph Theory, Computational Complexity  
Laura Ciobanu  February 2002  Combinatorial Group Theory, Computational Group Theory  
Pieter Blue  February 2002  Functional Analysis, Differential Geometry  
Michael Weingart  February 2002  Representation Theory, Lie Algebras  
Derek Hansen  January 2002  Functional Analysis, Sobolev Spaces, Second Order Elliptic PDE's  
Aaron Lauve  January 2002  Noncommutative Rings, Hopf Algebras  
Liang Kong  December 2001  Vertex Operator Algebras, Quantum Field Theory  
Stephen Hartke  December 2001  Graph Theory and Combinatorics, Discrete Optimization  
Eva Curry  December 2001  Harmonic Analysis and Wavelets, Probability Theory  
Sasa Radomirovic  December 2001  Algebraic Number Theory, Elliptic Curves, Modular Forms, Automorphic Forms  
Klay Kruczek  November 2001  Combinatorics, Graph Theory  
Kia Dalili  October 2001  Algebraic Topology, Commutative Algebra  
Matthew Young  October 2001  Analytic Number Theory, Algebraic Number Theory, Elliptic Curves, Modular Forms, Elliptic Functions  
Jeffrey Burdges  October 2001  Stability Theory, Algebraic Geometry  
Raju Chelluri  September 2001  Algebraic Number Theory, Analytic Number Theory, Elliptic Curves, Modular Forms  
Augusto Ponce  September 2001  Linear Second Order Elliptic PDE's, The Semilinear Dirichlet Problem  
Kai Medville  May 2001  Functional Analysis, Sobolev Spaces, Laplace's Equation, Second Order Elliptic Equations  
Jooyoun Hong  May 2001  Commutative Algebra, Homological Algebra and Gröbner Bases  
Liangyi Zhao  April 2001  Analytic Number Theory, Algebraic Number Theory, Modular Forms, Elliptic Curves  
Waldeck Schültzer  April 2001  The LittlewoodRichardson Rule, Weyl Character Formula, Theory of Symmetric Functions, Lie Algebras and Representation Theory  
Richard Mikula  April 2001  Linear Functional Analysis, Elliptic Partial Differential Equations  
Yongzhong Xu  December 2000  Partial Differential Equations, Algebraic Topology  
Eric Sundberg  December 2000  Combinatorics and Graph Theory, Probability  
David Nacin  December 2000  Lie Algebras and Representations, The Automorphism Tower Problem  
Carlo Mazza  December 2000  Homological Algebra, Commutative Algebra and Algebraic Geometry 

James Taylor  December 2000  Functional Analysis, Differential Geometry  
David Radnell  June 2000  Vertex Operator Algebras, Functional Analysis  
Yuka Umemoto  March 2000  Algebraic Topology, Differential Geometry  
Madalena Chaves  January 2000  Control Theory, Numerical Analysis 