Mathematics Department - Oral Qualifying Exam Syllabi

Oral Qualifying Exam Syllabi


Mathematics Graduate Program

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.
StudentDateTopicsFormats
John Chiarelli May 2016 Combinatorics, Graph Theory, Computational Complexity PDF
Suryateja Gavva May 2016 Analytic Number Theory, Automorphic Forms, Sieve methods, Computational Complexity PDF
Martin Koberl May 2016 Set Theory, (Basics, Forcing, Inner Model Theory), Model Theory PDF
Andrew Lohr April 2016 Combinatorics, Complexity Theory PDF
Matthew Welsh April 2016 Analytic Number Theory, Spectral Methods Automorphic Forms, Geometry of Numbers PDF
Semen Artamonov March 2016 Noncommutative algebras, representation theory, vertex operator algebras PDF
Kelly Spendlove March 2016 Algebraic Topology and Dynamical Systems PDF
Samuel Braunfeld February 2016 Logic, Combinatorics PDF
Michael Breeling February 2016 Functional Analysis, Partial Differential Equations PDF
Matthew Charnley February 2016 Functional Analysis, Partial Differential Equations PDF
Lun Zhang February 2016 Functional Analysis, Partial Differential Equations, Obstacle and free boundary problems PDF
Katie McKeon December 2015 Modular forms, Ergodic Theory, Analytic Number Theory PDF
Anthony Zaleski December 2015 Experimental Mathematics, Combinatorics PDF
Joel Clingempeel November 2015 Algebraic Topology, Automorphic Forms and Representation Theory PDF
Richard Voepel October 2015 Diophantine Analysis, Geometry of Numbers, Transcendental Number Theory PDF
William Cole Franks May 2015 Combinatorics, Graph Theory, Probabilistic Methods PDF
Rachel Levanger May 2015 Algebraic Topology and Computational Topology Probability PDF
Michael Donders March 2015 Combinatorics and Graph Theory, Partial Differential Equations PDF
Rebecca Coulson March 2015 Mathematical Logic (Model Theory, Basic Set Theory, and Descriptive Set Theory); Combinatorics PDF
Alejandro Ginory February 2015 Major Topic: Lie Algebras, Minor: Representation Theory and Symmetric Functions PDF
Pedro Pontes December 2014 Sieve Theory, Elliptic Curves, Analytic Number Theory, Algebraic Number Theory PDF
Ruofan Yan November 2014 Major Topic: Math Finance, Minor Topic: Probability and Stochastic Calculus PDF
Nathan Fox November 2014 Combinatorics and Graph Theory, Computational Complexity PDF
Hanlong Fang October 2014 Several Complex Variables, Algebraic Surfaces, Elliptic PDE's and Geometry PDF
Fei Qi September 2014 Vertex Operator Algebras, Quasideterminants and Non-commutative Symmetric Functions PDF
Sijian Tang June 2014 Combinatorics, Graph Theory, Computational Complexity PDF
Siao-Hao Guo May 2014 Mean Curvature Flow and Partial Differential Equations PDF
Jonathan Jaquette May 2014 Algebraic Topology & Functional Analysis PDF
Sjuvon Chung March 2014 Algebraic Geometry, Homological Algebra PDF
Charles Wolf March 2014 Combinatorics, Probabilistic Method, Graphy Theory, Computational Complexity PDF
Ross Berkowitz January 2014 Combinatorics, Probabilistic Method, Graphy Theory, Number Theory PDF
John Kim January 2014 Combinatorics, Probabilistic Method, Graphy Theory, Probability Theory PDF
Nathaniel Shar January 2014 Combinatorics, Probabilistic Method, Graphy Theory, Combinatorial game theory PDF
Edmund Karasiewicz December 2013 Algebraic Number Theory, Algebraic Geometry, Linear Algebraic Groups, Elliptic PDF
Vladimir Lubyshev December 2013 Stochastic Control and Viscosity Solutions PDF
Jiayin Pan December 2013 Topic 1: Comparison & Metric Riemannian Geometry; Topic 2: Symplectic Geometry PDF
Douglas Schultz December 2013 Symplectic Geometry (Major), Algebric Topology (Minor) PDF
Liming Sun December 2013 Partial Differential Equation and Riemannian Geometry PDF
Tien Duy Trinh December 2013 Algebraic Number Theory, Analytic Number Theory, Modular Forms, Elli ptic Curves PDF
Zhuohui Zhang December 2013 Algebraic Geometry, Elliptic Curves, Analytic Number Theory, Modular Forms PDF
Bence Borda November 2013 Discrete Mathematics and Probality Theory PDF
Patrick Devlin October 2013 Combinatorics (enumerative, graph theory, probability methods, experimental Math), Probability PDF
Francis Seuffert August 2013 Functional Analysis & PDE's PDF
Jake Baron January 2013 Combinatorics, Probalistic Methods, Graph Theory, Foundations PDF
Bud Coulson December 2012 Vertex Operator Algebras, Descriptive Set Theory PDF
Charles Wes Cowan December 2012 Probability and Stochastic Processes, Controleed Markov Processes and
Optimization
PDF
Katy Crow Craig November 2012 Functional Analysis and C* Algebras, Partial Differential Equations PDF
Bin Guo December 2012 Complex Geometry, Elliptic Partial Differential Equations, Evans-Krylov
Theorem for Monge-Ampere Equations, Poincare-Lelong Formula
PDF
Burak Kaya December 2012 Set Theory, Recursion Theory PDF
Manuel Larenas March 2013 Functional Analysis, C*-Algebras PDF
Timothy Naumovitz December 2012 Combinatorics and Graph Theory, Computational Complexity PDF
Matthew Russell May 2013 Enumerative Combinatorics, Graph Theory, Hypergeometric Functions PDF
Thomas Sznigir March 2013 Partial Differential Equations, Functional Analysis PDF
Glen Wilson December 2012 Algebraic Topology and Cobordism Theory, Homological Algebra and
Category Theory
PDF
Jianguo Xiao March 2013 Functional Analysis, Probability Theory PDF
Xukai Yan February 2013 Partial Differential Equations, Functional Analysis PDF
Howard Nuer May 2012 Algebraic Geometry, Chronological Methods in Algebraic Geometry,
Intersection Theory, Complex Algebraic Surfaces
PDF
Justin Gilmer April 2012 Combinatorics, Graph Theory, Probabilistic Methods, Boolean Functions PDF
Brian Garnett September 2012 Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory PDF
Edward Chien April 2012 Algebraic and Differential Topology, Gauge Theory, Symplectic Geometry PDF
Ming Xiao March 2012 Complex Analysis in Several Complex Variables, Riemannian and Complex Geometry PDF
Moulik Kallupalam Balasubramanian March 2012 Non-linear Wave Equation, Functional Analysis and Partial Differential Equations, Geometry and Mathematical Physics PDF
Zhan Li February 2012 Algebraic Geometry, Homological Algebra, Toric Varieties PDF
John Miller December 2011 Analytic Number Theory, Algebraic Number Theory, Modular Forms PDF
Simao Herdade December 2011 Combinatorics, Graph Theory, Probablistic Method, Additive and COmbinatorial Number Theory PDF
Matthew Samuel October 2011 Algebraic Combinatorics, Algebraic Geometry PDF
Shashank Kanade July 2011 Vertex Operator Algebras, Lie Algebras PDF
Kellen Myers April 2011 Combinatorics, Graph Theory, Analytic and Additive Methods PDF
Arran Hamm April 2011 Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory PDF
Zahra Aminzare April 2011 Dynamical Models in Biology, Numerical Analysis PDF
Christopher Sadowski March 2011 Vertex Operator Algebras, Lie Algebras PDF
Priyam Patel March 2011 Algebraic Topology, Riemann Surfaces, Riemannian Geometry PDF
Ping Lu March 2011 Numerical Analysis, Partial Differential Equations PDF
Knight Fu March 2011 Algebraic Geometry, Homological Algebra PDF
Jaret Flores March 2011 Commutative Algebra, Homological Algebra PDF
Francesco Fiordalisi March 2011 Vertex Operator Algebras, Kac-Moody Algebras PDF
Ved Datar March 2011 Complex Geometry, Complex Analysis in Several Variables, Harnack Inequality PDF
Robert DeMarco December 2010 Combinatorics, Graph Theory, Probabilistic Methods, Additive Combinatorics PDF
Jorge Cantillo March 2010 Analytic Number Theory, Algebraic Number Theory, Modular Forms, Elliptic Curves PDF
Brandon Bate March 2010 Algebraic Number Theory, Elliptic Curves, Analytic Number Theory, Modular Forms PDF
Thomas Tyrrell February 2010 Elliptic Curves and Algebraic Geometry, Algebraic Number Theory and Modular Forms PDF
Vidit Nanda February 2010 Topological Degree Theory, Lie Algebras PDF
Michael Marcondes de Freitas February 2010 Ordinary Differential Systems and Monotone Systems, Mathematical Biology PDF
Ali Maalaoui February 2010 Topological Methods in Critical Point Theory, Morse Theory PDF
David Duncan January 2010 Differential Geometry, Functional Analysis PDF
Jinwei Yang December 2009 Vertex Operator Algebras, Group Theory PDF
Hui Wang December 2009 Partial Differential Equations, Functional Analysis PDF
Yusra Naqvi December 2009 Lie Algebras, Trees and Group Actions PDF
Brian Nakamura December 2009 Enumerative Combinatorics, Graph Theory, Hypergeometric Functions PDF
Robert McRae December 2009 Vertex Operator Algebras, Lie Algebras PDF
Susan Durst December 2009 Noncommutative Localization, Representation Theory PDF
James Dibble December 2009 Differential and Riemannian Geometry, Algebraic Topology PDF
Susovan Pal October 2009 Riemannian Geometry, Riemann Surfaces PDF
Hernan Castro October 2009 Partial Differential Equations, Functional Analysis PDF
Jay Williams September 2009 Set Theory, Recursion Theory PDF
Camelia Pop September 2009 Probability, Partial Differential Equations, Mathematical Finance PDF
Tian Yang May 2009 Algebraic and Differential Topology, Riemannian Geometry PDF
Ke Wang April 2009 Combinatorics, Graph Theory, Probabalistic Methods, Probability Theory PDF
Yunpeng Wang April 2009 Partial Differential Equations, Riemannian Geometry PDF
Humberto Montalvan-Gamez April 2009 Combinatorics, Graph Theory, Probabilistic Methods, Diophantine Approximations PDF
Justin Bush April 2009 Algebraic Topology, Probablility and Martingales PDF
Brent Young February 2009 Matematical Physics, Classical PDE's of Mathematical Physics PDF
Yu Wang February 2009 Partial Differential Equations, Numerical Solutions for PDEs PDF
Elizabeth Kupin February 2009 Combinatorics, Graph Theory, Probabilistic Methods, Probability Theory PDF
Emilie Hogan February 2009 Enumerative Combinatorics, Graph Theory, Hypergeometric Functions PDF
Vijay Ravikumar January 2009 Algebraic Geometry, Algebraic Topology PDF
Sushmita Venugopalan November 2008 Symplectic Geometry, Algebraic Topology PDF
Tianling Jin October 2008 Partial Differential Equations, Function Analysis PDF
Gabriel Bouch September 2008 Analysis, Riemannian Geometry PDF
Andrew Baxter January 2008 Enumerative Combinatorics, Algebraic Topology PDF
Hoi Nguyen December 2007 Arithmetic Combinatorics, Discrete Mathematics PDF
Sara Blight September 2007 Modular Forms, Elliptic Curves, Analytic Number Theory, Algebraic Number Theory PDF
Dan Staley May 2007 Algebraic and Geometric Topology, Algebraic Geometry PDF
Kevin Costello May 2007 Probabilistic Methods, Littlewood-Offord Problems, Prior Work on Random Matricies PDF
Wesley Pegden April 2007 Graph Theory, Ramsey Theory, Graphs and Groups and Combinatorial Game Theory Postscript PDF TeX
Nicholas Trainor April 2007 Functional Analysis, Partial Differential Equations and Numerical Analysis Postscript PDF TeX
Padmini Mukkamala February 2007 Combinatorics, Graph Theory and the Probabilistic Method and Discrete and Computational Geometry Postscript PDF TeX
Paul Raff February 2007 Combinatorics and Graph Theory and Computational Complexity Theory and Algorithm Analysis Postscript PDF TeX
Amit Priyadarshi December 2006 Fractal Sets and Demensions and Linear Operator Theory Postscript PDF TeX
Linh Tran December 2006 Combinatorics and Graph Theory and Probabilistic Methods and Additive Number Theory Postscript PDF TeX
Debajyoti Nandi November 2006 Lie Algebras and Their Representations and Hopf Algebras Postscript PDF TeX
Reza Rezazadegan November 2006 Symplectic Geometry and Algebraic Topology Postscript PDF TeX
Yuan Yuan November 2006 Several Complex Variables and Riemannian Geometry Postscript PDF TeX
Eduardo Osorio September 2006 Stochastic Calculus and Mathematical Finance and PDE's Postscript PDF TeX
Catherine Pfaff September 2006 Manifolds and Morse Theory and Coarse Geometry Postscript PDF TeX
Nan Li September 2006 Riemannian Geometry and Algebraic Topology Postscript PDF TeX
Phillip Matchett Wood September 2006 Combinatorics, Graph Theory
and The Probabilistic Method
Postscript PDF TeX
Ming Shi April, 2006 Stochastic Calculus and Mathematical Finance
and Numerical Analysis
Postscript PDF TeX
Jawon Koo April, 2006 Financial Mathematics and PDE's Postscript PDF TeX
Jin Wang April, 2006 Mathematical Finance and PDE's Postscript PDF TeX
Goran Djankovic April, 2006 Analytic Number Theory, Algebraic Number Theory Postscript PDF TeX
Luc Nguyen April, 2006 PDE's and Riemannian Geometry Postscript PDF TeX
Mike Neiman March, 2006 Combinatorics and Graph Theory, Probability Theory and Probabilistic Methods Postscript PDF TeX
Eric Rowland March 2006 Experimental Mathematics and Diophantine Approximation Postscript PDF TeX
Colleen Duffy March 2006 Noncommutative Algebra and Hopf Algebras Postscript PDF TeX
Lara Pudwell February 2006 Combinatorics and Experimental Mathematics Postscript PDF TeX
Yuan Zhang February 2006 Several Complex Variables and PDE's Postscript PDF TeX
John Bryk January 2006 Analytic Number Theory & Algebraic Number Theory Postscript PDF TeX
Tom Robinson January 2006 Vertex Operator Algebras and Lie Algebras Postscript PDF TeX
Thotsaporn
Thonataponanda
December 2005 Enumerative Combinatorics, Special Functions and Graph Theory Postscript PDF TeX
Ian Levitt December 2005 Combinatorics, Graph Theory & Probabilistic Method, Discrete Optimization Postscript PDF TeX
Scott Schneider November 2005 Descriptive Set Theory, Classical Groups Postscript PDF TeX
Ren Guo November 2005 Algebraic Topology and Riemannian Geometry Postscript PDF TeX
Biao Yin October 2005 Elliptic PDE's and Riemannian Geometry Postscript PDF TeX
Jared Speck September 2005 Fourier Analysis, Mathematical Physics and PDE's Postscript PDF Word
Ben Bunting June 2005 Partial Differential Equations and Functional Analysis Postscript PDF TeX
Samuel Coskey May 2005 Set Theory and Ergodic Theory Postscript PDF TeX
Paul Ellis May 2005 Set Theory and Classical Groups HTML Word Rich Text
Pablo Angulo April 2005 Elliptic PDE's and Differential Topology Postscript PDF TeX
Sarah Genoway April 2005 Commutative Algebra and Computational Geometry Postscript PDF TeX
Chris Stucchio March 2005 Asymptotics and
Semilinear Schrödinger Equations
Postscript PDF
Brian Manning February 2005 Riemannian Geometry, Algebraic Topology Postscript PDF TeX
ShiTing Bao February 2005 PDE's and Functional Analysis Postscript PDF TeX
Sujith Vijay November 2004 Combinatorial Number Theory, Diophantine Approximations, Combinatorial Game Theory Postscript PDF TeX
Sikimeti Mau October 2004 Lie Groups, Functional Analysis Postscript PDF TeX
Liming Wang April 2004 Mathematical Biology, PDE's Postscript PDF TeX
Vince Vatter March 2004 Combinatorics, Graph Theory, Probability Postscript PDF TeX
Mohamud Mohammed December 2003 Experimental Mathematics, Combinatorics and Graph Theory Postscript PDF TeX
Jason Tedor December, 2003 Complex Analysis, Harmonic Analysis Postscript PDF TeX
Brian Lins December, 2003 Functional Analysis, Harmonic Analysis Postscript PDF TeX
Thuy Pham December, 2003 Commutative Algebra, Homological Algebra Postscript PDF TeX
Ben Kennedy December, 2003 Functional Analysis, Riemannian Geometry Plain text
Roman Holowinsky October 2003 Analytic and Algebraic Number Theory Postscript PDF TeX
Satadal Ganguly September 2003 Analytic and Algebraic Number Theory Postscript PDF TeX
William Cuckler September 2003 Combinatorics and Graph Theory, Probability Theory Postscript PDF TeX
Andrei Zherebtsov June 2003 Partial Differential Equations, Functional Analysis Postscript PDF TeX
Alex Zarechnak May 2003 Bohmian Mechanics, Differential Geometry Postscript PDF TeX
Corina Calinescu May 2003 Vertex Operator Algebras, Kac-Moody Algebras Postscript PDF TeX
Zhixiang Wang April 2003 Vertex Operator Algebras, Riemannian Geometry Postscript PDF TeX
Qinian Jin February 2003 Elliptic PDE's, Riemannian Geometry Postscript PDF TeX
Fernando Louro December 2002 Control Theory, Asymptotics Postscript PDF TeX
German Enciso December 2002 Harmonic Analysis, Numerical Solutions of PDE's Postscript PDF TeX
Haoyuan Xu November 2002 Functional Analysis, PDE's Postscript PDF TeX
Nicolas Weininger September 2002 Combinatorics and Graph Theory, Computational Complexity Postscript PDF TeX
Laura Ciobanu February 2002 Combinatorial Group Theory, Computational Group Theory Postscript PDF TeX
Pieter Blue February 2002 Functional Analysis, Differential Geometry Postscript PDF TeX
Michael Weingart February 2002 Representation Theory, Lie Algebras Postscript PDF TeX
Derek Hansen January 2002 Functional Analysis, Sobolev Spaces, Second Order Elliptic PDE's Postscript PDF TeX
Aaron Lauve January 2002 Noncommutative Rings, Hopf Algebras Postscript PDF TeX
Liang Kong December 2001 Vertex Operator Algebras, Quantum Field Theory Postscript PDF TeX
Stephen Hartke December 2001 Graph Theory and Combinatorics, Discrete Optimization Postscript PDF TeX
Eva Curry December 2001 Harmonic Analysis and Wavelets, Probability Theory Postscript PDF TeX
Sasa Radomirovic December 2001 Algebraic Number Theory, Elliptic Curves, Modular Forms, Automorphic Forms Postscript PDF TeX
Klay Kruczek November 2001 Combinatorics, Graph Theory Postscript PDF TeX
Kia Dalili October 2001 Algebraic Topology, Commutative Algebra Postscript PDF TeX
Matthew Young October 2001 Analytic Number Theory, Algebraic Number Theory, Elliptic Curves, Modular Forms, Elliptic Functions Postscript PDF TeX
Jeffrey Burdges October 2001 Stability Theory, Algebraic Geometry Postscript PDF TeX
Raju Chelluri September 2001 Algebraic Number Theory, Analytic Number Theory, Elliptic Curves, Modular Forms Postscript PDF TeX
Augusto Ponce September 2001 Linear Second Order Elliptic PDE's, The Semilinear Dirichlet Problem Postscript PDF TeX
Kai Medville May 2001 Functional Analysis, Sobolev Spaces, Laplace's Equation, Second Order Elliptic Equations Postscript PDF TeX
Jooyoun Hong May 2001 Commutative Algebra, Homological Algebra and Gröbner Bases Postscript PDF TeX
Liangyi Zhao April 2001 Analytic Number Theory, Algebraic Number Theory, Modular Forms, Elliptic Curves Postscript PDF TeX
Waldeck Schültzer April 2001 The Littlewood-Richardson Rule, Weyl Character Formula, Theory of Symmetric Functions, Lie Algebras and Representation Theory Postscript PDF TeX
Richard Mikula April 2001 Linear Functional Analysis, Elliptic Partial Differential Equations Postscript PDF TeX
Yongzhong Xu December 2000 Partial Differential Equations, Algebraic Topology Postscript PDF TeX
Eric Sundberg December 2000 Combinatorics and Graph Theory, Probability Postscript PDF TeX
David Nacin December 2000 Lie Algebras and Representations, The Automorphism Tower Problem Postscript PDF TeX
Carlo Mazza December 2000 Homological Algebra,
Commutative Algebra and Algebraic Geometry
Postscript PDF TeX
James Taylor December 2000 Functional Analysis, Differential Geometry Postscript PDF TeX
David Radnell June 2000 Vertex Operator Algebras, Functional Analysis Postscript PDF TeX
Yuka Umemoto March 2000 Algebraic Topology, Differential Geometry Postscript PDF TeX
Madalena Chaves January 2000 Control Theory, Numerical Analysis Postscript PDF TeX
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