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Overview of Degree Requirements

General requirements for graduate degrees at Rutgers are governed by the rules of the Graduate School - New Brunswick and are listed in the current catalog. These include how and when credit can be transferred and how many credits can be taken each semester.

Oral Qualifying Exam Syllabi

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 PDF
Nicholas Trainor April 2007 Functional Analysis, Partial Differential Equations and Numerical Analysis PDF
Padmini Mukkamala February 2007 Combinatorics, Graph Theory and the Probabilistic Method and Discrete and Computational Geometry PDF
Paul Raff February 2007 Combinatorics and Graph Theory and Computational Complexity Theory and Algorithm Analysis PDF
Amit Priyadarshi December 2006 Fractal Sets and Demensions and Linear Operator Theory PDF
Linh Tran December 2006 Combinatorics and Graph Theory and Probabilistic Methods and Additive Number Theory PDF
Debajyoti Nandi November 2006 Lie Algebras and Their Representations and Hopf Algebras PDF
Reza Rezazadegan November 2006 Symplectic Geometry and Algebraic Topology PDF
Yuan Yuan November 2006 Several Complex Variables and Riemannian Geometry PDF
Eduardo Osorio September 2006 Stochastic Calculus and Mathematical Finance and PDE's PDF
Catherine Pfaff September 2006 Manifolds and Morse Theory and Coarse Geometry PDF
Nan Li September 2006 Riemannian Geometry and Algebraic Topology PDF
Phillip Matchett Wood September 2006 Combinatorics, Graph Theory
and The Probabilistic Method
PDF
Ming Shi April, 2006 Stochastic Calculus and Mathematical Finance
and Numerical Analysis
PDF
Jawon Koo April, 2006 Financial Mathematics and PDE's PDF
Jin Wang April, 2006 Mathematical Finance and PDE's PDF
Goran Djankovic April, 2006 Analytic Number Theory, Algebraic Number Theory PDF
Luc Nguyen April, 2006 PDE's and Riemannian Geometry PDF
Mike Neiman March, 2006 Combinatorics and Graph Theory, Probability Theory and Probabilistic Methods PDF
Eric Rowland March 2006 Experimental Mathematics and Diophantine Approximation PDF
Colleen Duffy March 2006 Noncommutative Algebra and Hopf Algebras PDF
Lara Pudwell February 2006 Combinatorics and Experimental Mathematics PDF
Yuan Zhang February 2006 Several Complex Variables and PDE's PDF
John Bryk January 2006 Analytic Number Theory & Algebraic Number Theory PDF
Tom Robinson January 2006 Vertex Operator Algebras and Lie Algebras PDF
Thotsaporn
Thonataponanda
December 2005 Enumerative Combinatorics, Special Functions and Graph Theory PDF
Ian Levitt December 2005 Combinatorics, Graph Theory & Probabilistic Method, Discrete Optimization PDF
Scott Schneider November 2005 Descriptive Set Theory, Classical Groups PDF
Ren Guo November 2005 Algebraic Topology and Riemannian Geometry PDF
Biao Yin October 2005 Elliptic PDE's and Riemannian Geometry PDF
Jared Speck September 2005 Fourier Analysis, Mathematical Physics and PDE's PDF
Ben Bunting June 2005 Partial Differential Equations and Functional Analysis PDF
Samuel Coskey May 2005 Set Theory and Ergodic Theory PDF
Paul Ellis May 2005 Set Theory and Classical Groups Word
Pablo Angulo April 2005 Elliptic PDE's and Differential Topology PDF
Sarah Genoway April 2005 Commutative Algebra and Computational Geometry PDF
Chris Stucchio March 2005 Asymptotics and
Semilinear Schrödinger Equations
PDF
Brian Manning February 2005 Riemannian Geometry, Algebraic Topology PDF
ShiTing Bao February 2005 PDE's and Functional Analysis PDF
Sujith Vijay November 2004 Combinatorial Number Theory, Diophantine Approximations, Combinatorial Game Theory PDF
Sikimeti Mau October 2004 Lie Groups, Functional Analysis PDF
Liming Wang April 2004 Mathematical Biology, PDE's PDF
Vince Vatter March 2004 Combinatorics, Graph Theory, Probability PDF
Mohamud Mohammed December 2003 Experimental Mathematics, Combinatorics and Graph Theory PDF
Jason Tedor December, 2003 Complex Analysis, Harmonic Analysis PDF
Brian Lins December, 2003 Functional Analysis, Harmonic Analysis PDF
Thuy Pham December, 2003 Commutative Algebra, Homological Algebra PDF
Ben Kennedy December, 2003 Functional Analysis, Riemannian Geometry  
Roman Holowinsky October 2003 Analytic and Algebraic Number Theory PDF
Satadal Ganguly September 2003 Analytic and Algebraic Number Theory PDF
William Cuckler September 2003 Combinatorics and Graph Theory, Probability Theory PDF
Andrei Zherebtsov June 2003 Partial Differential Equations, Functional Analysis PDF
Alex Zarechnak May 2003 Bohmian Mechanics, Differential Geometry PDF
Corina Calinescu May 2003 Vertex Operator Algebras, Kac-Moody Algebras PDF
Zhixiang Wang April 2003 Vertex Operator Algebras, Riemannian Geometry PDF
Qinian Jin February 2003 Elliptic PDE's, Riemannian Geometry PDF
Fernando Louro December 2002 Control Theory, Asymptotics PDF
German Enciso December 2002 Harmonic Analysis, Numerical Solutions of PDE's PDF
Haoyuan Xu November 2002 Functional Analysis, PDE's PDF
Nicolas Weininger September 2002 Combinatorics and Graph Theory, Computational Complexity PDF
Laura Ciobanu February 2002 Combinatorial Group Theory, Computational Group Theory PDF
Pieter Blue February 2002 Functional Analysis, Differential Geometry PDF
Michael Weingart February 2002 Representation Theory, Lie Algebras PDF
Derek Hansen January 2002 Functional Analysis, Sobolev Spaces, Second Order Elliptic PDE's PDF
Aaron Lauve January 2002 Noncommutative Rings, Hopf Algebras PDF
Liang Kong December 2001 Vertex Operator Algebras, Quantum Field Theory PDF
Stephen Hartke December 2001 Graph Theory and Combinatorics, Discrete Optimization PDF
Eva Curry December 2001 Harmonic Analysis and Wavelets, Probability Theory PDF
Sasa Radomirovic December 2001 Algebraic Number Theory, Elliptic Curves, Modular Forms, Automorphic Forms PDF
Klay Kruczek November 2001 Combinatorics, Graph Theory PDF
Kia Dalili October 2001 Algebraic Topology, Commutative Algebra PDF
Matthew Young October 2001 Analytic Number Theory, Algebraic Number Theory, Elliptic Curves, Modular Forms, Elliptic Functions PDF
Jeffrey Burdges October 2001 Stability Theory, Algebraic Geometry PDF
Raju Chelluri September 2001 Algebraic Number Theory, Analytic Number Theory, Elliptic Curves, Modular Forms PDF
Augusto Ponce September 2001 Linear Second Order Elliptic PDE's, The Semilinear Dirichlet Problem PDF
Kai Medville May 2001 Functional Analysis, Sobolev Spaces, Laplace's Equation, Second Order Elliptic Equations PDF
Jooyoun Hong May 2001 Commutative Algebra, Homological Algebra and Gröbner Bases PDF
Liangyi Zhao April 2001 Analytic Number Theory, Algebraic Number Theory, Modular Forms, Elliptic Curves PDF
Waldeck Schültzer April 2001 The Littlewood-Richardson Rule, Weyl Character Formula, Theory of Symmetric Functions, Lie Algebras and Representation Theory PDF
Richard Mikula April 2001 Linear Functional Analysis, Elliptic Partial Differential Equations PDF
Yongzhong Xu December 2000 Partial Differential Equations, Algebraic Topology PDF
Eric Sundberg December 2000 Combinatorics and Graph Theory, Probability PDF
David Nacin December 2000 Lie Algebras and Representations, The Automorphism Tower Problem PDF
Carlo Mazza December 2000 Homological Algebra,
Commutative Algebra and Algebraic Geometry
PDF
James Taylor December 2000 Functional Analysis, Differential Geometry PDF
David Radnell June 2000 Vertex Operator Algebras, Functional Analysis PDF
Yuka Umemoto March 2000 Algebraic Topology, Differential Geometry PDF
Madalena Chaves January 2000 Control Theory, Numerical Analysis PDF

Course Requirements

48 credits (usually 16 3-credit courses) of approved coursework in Mathematics and related disciplines. The normal minimum grade for graduate courses is B, though a small number of courses with grades of C or C+ may be approved.

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Written Qualifying Exam

A 6 hour exam (3 2-hour exams on Algebra, Complex Analysis and Advanced Calculus, and Real Analysis and Elementary Point Set Topology, respectively) usually taken after the first semester in the program or at the beginning of the 2nd year of studies.

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Teacher Training Seminar

Satisfactory completion of the teacher training seminar during the Spring semester of the first year. While not required for the Ph.D., it is required for appointment to a TA position after the first year of studies.

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Oral Qualifying Exam

An oral exam (80 to 120 minutes in length) administered by a committee of four faculty on a specialized syllabus selected by the student in consultation with the committee. This exam is normally taken during the student's 5th or 6th semester in the program.

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Advancing to Candidacy

A student is designated a "Candidate for a Ph.D. degree" upon application to the graduate school, after completing the written, oral and foreign language exams (if required by the program; our program no longer has a foreign language requirement) and 36 credits of approved course work. This marks the official beginning of the student's dissertation work.

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Thesis Committee

The doctoral dissertation (or thesis) is completed under the direction of a thesis advisor, who must be a member of the Mathematics graduate faculty.

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Dissertation

A written dissertation based on original research in Mathematics, completed under the direction of a member of the graduate faculty

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Your second year of graduate study

During their first year, most Ph.D. students concentrate on coursework and the written qualifying exam. After completing the written exam (usually by the beginning of the second year), students change their focus to (1) identifying potential research advisors and research topics, and (2) selecting qualifying exam topics and a qualifying exam committee.

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Masters Degree Options

Traditional Option

For the traditional option, 30 credits of course work are required, chosen with the approval of the Graduate Director. At least 18 of these credits must be in courses offered by the Graduate Program in Mathematics. Specifically required are (i) one of the courses 16:640:501 Theory of Functions of a Real Variable I, 16:640:503 Theory of Functions of a Complex Variable I, 16:640:515 Ordinary Differential Equations, and 16:642:516 Applied Partial Differential Equations, (ii) 16:640:551 Abstract Algebra I and (iii) a course in computer science, statistics, or some area of applied mathematics within the department.

A master's essay is required, as well as a Final Master's Comprehensive Exam. There is no residency requirement.

Requests for transfer credit toward their degree for courses taken at other universities are handled on a case-by-case basis, according to the rules of the department and the university.

General requirements for graduate degrees at Rutgers are governed by the rules of the Graduate School - New Brunswick and are listed in the current catalog. These include how and when credit can be transferred and how many credits can be taken each semester.

Math Finance Option

For information about the Math Finance Option, please refer to their website: http://finmath.rutgers.edu/academics-finmath/degree-requirements-finmath

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530