**Degree Programs Offered:** Master of Science, Doctor of Philosophy

**Director of Graduate Program:** Professor Michael Saks, Hill Center for the Mathematical Sciences, Busch Campus (732-445-3864)

**Website:**
http://www.math.rutgers.edu/grad

**Members of the Graduate Faculty**

Eric Allender, Professor of Computer Science, SAS; Ph.D., Georgia Institute of Technology

Complexity theory; parallel and probabilistic computation

Abbas Bahri, Professor of Mathematics, SAS; Doctorat, École Normale Supérieure (France)

Variational problems in nonlinear analysis and geometry

Tadeusz Balaban, Professor of Mathematics, SAS; Ph.D., Warsaw (Poland)

Mathematical physics

José Barros-Neto, Professor Emeritus of Mathematics, SAS; Ph.D., Săo Paulo (Brazil)

Functional analysis; partial differential equations

R. Michael Beals, Professor of Mathematics, SAS; Ph.D., Princeton

Harmonic analysis; Fourier integral operators; partial differential equations

József Beck, Harold H. Martin Professor of Mathematics, SAS; Ph.D., Hungarian Academy of Sciences

Combinatorics; combinatorial games; number theory

Adi Ben-Israel, Professor of Management, SB; Ph.D., Northwestern

Matrix theory; numerical linear algebra; convexity and optimization operations research; mathematical economics

Lev A. Borisov, Associate Professor of Mathematics, SAS; Ph.D., Michigan

Algebraic geometry and related areas

Edward Boylan, Associate Professor of Mathematics, FAS-N; Ph.D., Princeton

Probability and computer science

Haim Brezis, Distinguished Visiting Professor of Mathematics, SAS; Doctorat, Paris (France)

Nonlinear functional analysis; partial differential equations

Felix E. Browder, Professor of Mathematics, SAS; Ph.D., Princeton

Functional analysis and partial differential equations

Anders Buch, Associate Professor of Mathematics, SAS; Ph.D., Chicago

Algebraic geometry; combinatorics

Richard T. Bumby, Professor of Mathematics, SAS; Ph.D., Princeton

Number theory

Terence Butler, Professor of Mathematics, SAS; Ph.D., Indiana

Differential equations

Lisa Carbone, Associate Professor of Mathematics, SAS; Ph.D., Columbia

Infinite dimensional groups and algebras, applications to number theory and physics

Eric Anders Carlen, Professor of Mathematics, SAS; Ph.D., Princeton

Mathematical physics; functional analysis and probability

Sagun Chanillo, Professor of Mathematics, SAS; Ph.D., Purdue

Classical analysis; partial differential equations

Gregory L. Cherlin, Professor of Mathematics, SAS; Ph.D., Yale

Logic; model theory; model theoretic algebra

Amy Cohen, Professor of Mathematics, SAS; Ph.D., California (Berkeley)

Partial differential equations; inverse scattering; Korteweg-de Vries equation

Richard M. Cohn, Professor Emeritus of Mathematics, SAS; Ph.D., Columbia

Differential algebra

Bernard Coleman, J. Willard Gibbs Professor of Thermomechanics, Mechanical and Materials Science, SE; Ph.D., Yale

Continuum mechanics; analysis

Carl C. Faith, Professor Emeritus of Mathematics, SAS; Ph.D., Purdue

Theory of rings and modules

Richard S. Falk, Professor of Mathematics, SAS; Ph.D., Cornell

Numerical analysis; partial differential equations

Paul Feehan, Associate Professor of Mathematics, SAS; Ph.D., Columbia

Partial differential equations; gauge theory and applications to four-manifolds; non-abelian monopoles

Steven Ferry, Joshua Barlaz Professor of Mathematics, SAS; Ph.D., Michigan

Geometric topology; differential topology; differential geometry

Michael L. Fredman, Professor of Computer Science, SAS; Ph.D., Stanford

Data structures and algorithms; computational complexity

Siqi Fu, Associate Professor of Mathematical Sciences, FAS-C; Ph.D., Washington (St. Louis)

Several complex variables

Giovanni Gallavotti, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Florence (Italy)

Statistical mechanics; quantum field theory; dynamical systems

Jane P. Gilman, Professor of Mathematics, FAS-N; Ph.D., Columbia

Riemann surfaces; Fuchsian groups; Teichmuller theory; geometric topology; combinatorial group theory

Simon G. Gindikin, Board of Governors Professor of Mathematics, SAS; Ph.D., Moscow D.Sc., Mathematics Institute (St. Petersburg, Russia)

Theory of representations; integral geometry; several complex variables

Gerald A. Goldin, University Director, Science and Mathematics Partnerships, and Professor of Learning and Teaching, GSE; Ph.D., Princeton

Lie theory; mathematical physics; secondary education

Sheldon Goldstein, Professor of Mathematics, SAS; Ph.D., Yeshiva

Foundations of quantum mechanics; foundations of statistical mechanics; mathematical physics

Roe Goodman, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology

Representation theory and analysis on Lie groups

Stephen A. Greenfield, Professor of Mathematics, SAS; Ph.D., Brandeis

Linear partial differential equations; several complex variables

Richard F. Gundy, Professor of Statistics and Mathematics, SAS; Ph.D., Chicago

Wavelets and time-frequency analysis; probability theory

András Hajnal, Professor Emeritus of Mathematics, SAS; Ph.D., Bolyai Institute (Szégéd, Hungary)

Combinatorics; mathematical logic; set theory

Zheng-Chao Han, Associate Professor of Mathematics, SAS; Ph.D., Courant

Nonlinear analysis; partial differential equations

Xiaojun Huang, Professor of Mathematics, SAS; Ph.D., Washington (St. Louis)

Several complex variables

Yi-Zhi Huang, Professor of Mathematics, SAS; Ph.D., Rutgers

Conformal field theory; mathematics underlying string theory

Henryk Iwaniec, State of New Jersey Professor of Mathematics, SAS; Ph.D., Warsaw (Poland)

Analytic number theory

Howard J. Jacobowitz, Professor of Mathematics, FAS-C; Ph.D., New York

Differential geometry

Jeffry N. Kahn, Professor of Mathematics, SAS; Ph.D., Ohio State

Combinatorics and related fields

Johannes H.B. Kemperman, Professor Emeritus of Statistics, SAS; Ph.D., Amsterdam (Netherlands)

Probability and statistics

Michael Kiessling, Professor of Mathematics, SAS; Ph.D., Bochum (Germany)

Mathematical physics: foundations of physics, statistical mechanics; analysis: nonlinear partial differential equations

Friedrich Knop, Professor of Mathematics, SAS; Ph.D., Basel (Switzerland)

Algebraic geometry; representation theory

János Komlós, Professor of Mathematics, SAS; Ph.D., Eötvös (Hungary)

Combinatorics; probability; theoretical computer science

Maxim Kontsevich, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Bonn (Germany)

String theory and quantum field theory; quantum cohomology

Antoni A. Kosinski, Professor Emeritus of Mathematics, SAS; Ph.D., Warsaw (Poland)

Differential topology

Antti Kupiainen, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Princeton

Mathematical physics; quantum field theory; statistical mechanics

Peter S. Landweber, Professor Emeritus of Mathematics, SAS; Ph.D., Harvard

Algebraic topology; bordism theory; generalized homology theory

Solomon Leader, Professor Emeritus of Mathematics, SAS; Ph.D., Princeton

Analysis; abstract spaces

Joel L. Lebowitz, George William Hill Professor of Mathematics and Director of the Center for Mathematical Sciences Research, SAS; Ph.D., Syracuse

Mathematical physics; statistical mechanics

Young-Ju Lee, Assistant Professor of Mathematics, SAS; Ph.D., Pennsylvania State

Numerical analysis; multigrid method; fluid dynamics

James Lepowsky, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology

Representation theory; vertex operator algebras; mathematics underlying string theory

Norman Levitt, Professor Emeritus of Mathematics, SAS; Ph.D., Princeton

Differential and geometric topology; surgery theory; structural theory

Yanyan Li, Professor of Mathematics, SAS; Ph.D., New York

Nonlinear analysis; partial differential equations

Feng Luo, Professor of Mathematics, SAS; Ph.D., California (San Diego)

Topology and geometry

Richard N. Lyons, Chair and Professor of Mathematics, SAS; Ph.D., Chicago

Simple groups

Stephen D. Miller, Associate Professor of Mathematics, SAS; Ph.D., Princeton

Automorphic forms; L-functions

Konstantin Mischaikow, Professor of Mathematics, SAS; Ph.D., Wisconsin (Madison)

Topological and computational dynamics; mathematical biology; nonlinear data analysis

Lee Mosher, Professor of Mathematics and Computer Science, SAS; Ph.D., Princeton

Low-dimensional topology and geometry; geometric group theory

Benjamin Muckenhoupt, Professor Emeritus of Mathematics, SAS; Ph.D., Chicago

Harmonic analysis; orthogonal expansions; weighted norm inequalities

Roger Nussbaum, Professor of Mathematics, SAS; Ph.D., Chicago

Nonlinear functional analysis; differential-delay equations, nonlinear Perron-Frobenius theory

Daniel L. Ocone, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology

Stochastic processes; stochastic control; filtering

Michael E. O'Nan, Professor of Mathematics, SAS; Ph.D., Princeton

Permutation groups; simple groups

Barbara L. Osofsky, Professor Emerita of Mathematics, SAS; Ph.D., Rutgers

Ring theory; homological algebra

Ted Petrie, Professor of Mathematics, SAS; Ph.D., Princeton

Algebraic and differential topology; transformation groups; equivariant surgery; financial mathematics

Andras Prekopa, Professor of Operations Research and Statistics, SAS; Ph.D., Budapest (Hungary)

Optimization of stochastic systems

John D. Randall, Associate Professor of Mathematics, FAS-N; Ph.D., Warwick (UK)

Topology; algebraic geometry

Vladimir Retakh, Professor of Mathematics, SAS; Ph.D., Moscow Pedagogical Institute

Noncommutative algebra and combinatorics; special functions and differential equations; mathematics education

Fred S. Roberts, Professor of Mathematics, SAS, and Director of DIMACS; Ph.D., Stanford

Discrete mathematical models; graph theory; decision making; measurement theory

Xiaochun Rong, Professor of Mathematics, SAS; Ph.D., SUNY (Stony Brook)

Riemannian geometry

Joseph G. Rosenstein, Professor of Mathematics, SAS, and Associate Director of Education, DIMACS; Ph.D., Cornell

Mathematics education; logic; linear orderings

David Ruelle, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Brussels (Belgium)

Statistical mechanics; dynamical systems

Siddhartha Sahi, Professor of Mathematics, SAS; Ph.D., Yale

Representations of reductive groups

Michael Saks, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology

Theory of computation; discrete mathematics; discrete algorithms

Jane Cronin Scanlon, Professor Emerita of Mathematics, SAS; Ph.D., Michigan

Qualitative theory of ordinary differential equations; biomathematics

Vladimir Scheffer, Professor of Mathematics, SAS; Ph.D., Princeton

Geometric measure theory; partial differential equations

Alexander Schliep, Associate Professor of Computer Science, SAS; Ph.D., Cologne (Germany)

Bioinformatics and machine learning; gene regulation

Saharon Shelah, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Hebrew (Israel)

Logic; model theory

Diana F. Shelstad, Professor of Mathematics, FAS-N; Ph.D., Yale

Harmonic analysis on algebraic groups related to number theory and geometry

Lawrence Shepp, Professor of Statistics, SAS; Ph.D., Princeton

Pure and applied probability; tomography; mathematics of finance

Charles C. Sims, Professor Emeritus of Mathematics, SAS; Ph.D., Harvard

Computational group theory and algebraic algorithms

Avraham Soffer, Professor of Mathematics, SAS; Ph.D., Tel Aviv (Israel)

Theory of partial differential evolution equations; Schrödinger operators and scattering theory; general mathematical physics

Jian Song, Assistant Professor of Mathematics, SAS; Ph.D., Columbia

Geometric analysis

Eduardo D. Sontag, Professor of Mathematics, SAS; Ph.D., Florida

Control theory and systems biology

Eugene R. Speer, Professor of Mathematics, SAS; Ph.D., Princeton

Mathematical physics

William Steiger, Professor of Computer Science, SAS; Ph.D., Australian National

Algorithms; discrete and computational geometry

Hector J. Sussmann, Professor of Mathematics, SAS; Ph.D., New York

System and control theory

Mario Szégédy, Professor of Computer Science, SAS; Ph.D., Chicago

Theoretical computer science; programming languages; combinatorics; combinatorial geometry; artificial intelligence

Endre Szemerédi, State of New Jersey Professor of Computer Science, SAS; Ph.D., Budapest (Hungary)

Theoretical computer science; number theory; combinatorics

Earl J. Taft, Professor of Mathematics, SAS; Ph.D., Yale

Hopf algebras

A. Shadi Tahvildar-Zadeh, Associate Professor of Mathematics, SAS; Ph.D., Princeton

Nonlinear hyperbolic partial differential equations

Jean E. Taylor, Professor Emerita of Mathematics, SAS; Ph.D., Princeton

Geometric measure theory

Simon Thomas, Professor of Mathematics, SAS; Ph.D., London

Set theory; model theory; infinite groups

Gabor Toth, Professor of Mathematics, FAS-C; Ph.D., Eötvös (Hungary)

Differential geometry

J. François Tręves, Robert Adrain Professor Emeritus of Mathematics, SAS; Ph.D., Sorbonne (France)

Functional analysis; linear partial differential equations; several complex variables

Roderich Alexander Tumulka, Assistant Professor of Mathematics, SAS, Ph.D., Munich (Germany)

Mathematical physics; foundations of quantum theory

Jerrold B. Tunnell, Associate Professor of Mathematics, SAS; Ph.D., Harvard

Number theory; automorphic forms

Wolmer V. Vasconcelos, Professor of Mathematics, SAS; Ph.D., Chicago

Commutative algebra; computational algebra

Michael Vogelius, Board of Governors Professor of Mathematics, SAS; Ph.D., Maryland

Numerical analysis; partial differential equations

Van Vu, Professor of Mathematics, SAS; Ph.D. Yale

Combinatorial number theory; probabilistic combinatorics

Charles A. Weibel, Professor of Mathematics, SAS; Ph.D., Chicago

Algebraic K-theory; homological algebra; algebraic topology; category theory

Richard L. Wheeden, Professor of Mathematics, SAS; Ph.D., Chicago

Harmonic analysis; harmonic functions; weighted norm inequalities; regularity for partial differential equations

Robert L. Wilson, Professor of Mathematics, SAS; Ph.D., Yale

Lie algebras

Christopher T. Woodward, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology

Symplectic geometry

Norman Zabusky, State of New Jersey Professor Emeritus of Computational Fluid

Dynamics, SE; Ph.D., California Institute of Technology

Vortex dynamics in two and three dimensions

Doron Zeilberger, Board of Governors Professor of Mathematics, SAS; Ph.D., Weizmann (Israel)

Algebraic and enumerative combinatorics; experimental mathematics

**Associate Members of the Graduate Faculty**

Ren-Raw Chen, Associate Professor of Finance and Economics, SB; Ph.D., Illinois

Mathematical finance

Adrien Deloro, Hill Assistant Professor of Mathematics, SAS; Ph.D., Paris VII

Logic; group theory

Martin Farach-Colton, Professor of Computer Science, SAS; Ph.D., Maryland

Computational molecular biology; sequential and partial algorithms

Derrick Norman Hart, Hill Assistant Professor of Mathematics, SAS; Ph.D., Missouri

Harmonic analysis; geometric combinatorics; geometric measure theory

Corey Hoelscher, Hill Assistant Professor of Mathematics, SAS; Ph.D., Pennsylvania

Riemannian geometry

William F. Keigher, Associate Professor of Mathematics and Computer Science, FAS-N; Ph.D., Illinois

Differential and commutative algebra, category theory; algebraic geometry

Haisheng Li, Professor of Mathematics, FAS-C; Ph.D., Rutgers

Vertex operator algebras; mathematics related to string theory

Juan Pablo Mejía-Ramos, Assistant Professor of Learning and Teaching, GSE; Ph.D., Warwick

Mathematical reasoning, argumentation, and proof

Ritabrata Munshi, Assistant Professor of Mathematics, SAS; Ph.D., Princeton

Number theory

Luis Medina Rivera, Triennial Assistant Professor of Mathematics, SAS; Ph.D., Tulane

Experimental mathematics; number theory; special functions

Jesus Rodriguez, Triennial Assistant Professor of Mathematics, SAS; Ph.D., Cornell

Probability; mathematical finance; stochastic differential equations

Jacob Sturm, Associate Professor of Mathematics and Computer Science, FAS-N; Ph.D., Princeton

Number theory, automorphic forms

Minxian Zhu, Hill Assistant Professor of Mathematics, SAS; Ph.D., Yale

Representation theory; vertex operator algebra; quantum groups

**Adjunct Member of the Graduate Faculty**

Igor Halperin, Vice President, Credit Quantitative Research, J.P.Morgan; Ph.D., Tel Aviv (Israel)

Calibration and pricing methods for bespoke portfolios; nonparametric approaches; top-down and bottom-up dynamic models for multiname exotic credit derivatives

Andrey Itkin, Adjunct Professor of Mathematics, SAS; Ph.D., St. Petersburg and Moscow Aviation (Russia)

Computational finance

Gábor Kun, Postdoctoral Fellow in Mathematics, SAS/DIMACS; Ph.D., Eötvös Loránd (Hungary)

Discrete mathematics; probabilistic method; computer science; group actions