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Actuarial and Statistical Analysis
African Studies 016
Analytics: Discovery Informatics and Data Sciences
Anthropology 070
Applied Computing
Art History 082
Arts, Visual and Theater
Asian Studies 098
Atmospheric Science 107
Biochemistry 115
Bioenvironmental Engineering 116
Biomedical Engineering 125
Biotechnology 126
Biotechnology and Genomics
Business and Science 137
Cell and Developmental Biology 148
Cellular and Molecular Pharmacology
Chemical and Biochemical Engineering 155
Chemistry
Chemistry and Chemical Biology 160
Chinese 165
Cinema Studies 175
Civil and Environmental Engineering 180
Classics 190
Cognitive Science 185
College Teaching 186
College and University Leadership 187
Communication, Information and Library Studies 194
Communication Studies
Comparative Literature 195
Computational and Data-Enabled Science and Engineering 199
Computer Science 198
Cultural Heritage and Preservation Studies (CHAPS)
Curatorial Studies
Data Science (Statistics Track) 954
Drug Discovery and Development
East Asian Languages and Cultures 217
Ecology and Evolution 215
Economics 220
Education 300
Educational Psychology; Educational Theory, Policy, and Administration; Learning and Teaching
Electrical and Computer Engineering 332
Endocrinology and Animal Biosciences 340
Energy 335
Engineering Management
English, Literatures in (English 350, Composition Studies 352)
English as a Second Language 356, American Language Studies 357
Entomology 370
Environmental Change, Human Dimensions of 378
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Exposure Science
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Food and Business Economics 395
Food Science 400
French 420
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Geological Sciences 460
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Global Agriculture
Global Sports Business 475
Graduate Student Professional Development 486
Higher Education 507
Historic Preservation
History 510
Horticulture and Turfgrass Science
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Industrial Mathematics
Industrial Relations and Human Resources 545
Industrial and Systems Engineering 540
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Interdisciplinary Ph.D. Program 554
Italian 560
Jewish Studies 563
Kinesiology and Applied Physiology 572
Labor and Employment Relations
Landscape Architecture 550
Latin American Studies
Library Studies
Linguistics 615
Literature and Language 617
Literatures in English
Management
Materials Science and Engineering 635
Mathematical Finance 643
Mathematics 640, 642, 644
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Mathematics for Teachers Program
Graduate Courses (640)
Graduate Courses in Applied Mathematics (642)
Mechanical and Aerospace Engineering 650
Medical Device Design and Development
Medicinal Chemistry 663
Medieval Studies 667
Meteorology
Microbial Biology 682
Microbiology and Molecular Genetics 681
Molecular Biophysics 696
Molecular Biosciences 695
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Music 700
Neuroscience 710
Nutritional Sciences 709
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Packaging Engineering 731
Perceptual Science 714
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Pharmaceuticals and Clinical Trials Management 725
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Physics and Astronomy 750
Physiology and Integrative Biology 761
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Russian, Central and East European Studies 859
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Camden Newark New Brunswick/Piscataway
Catalogs
  Graduate School-New Brunswick 2017 Programs, Faculty, and Courses Mathematics 640, 642, 644  

Mathematics 640, 642, 644

Degree Programs Offered: Master of Science, Doctor of Philosophy

Director of Graduate Program: Professor Lev Borisov, Hill Center for the Mathematical Sciences, Busch Campus (848-445-7277)

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

Members of the Graduate Faculty

Eric Allender, Distinguished Professor of Computer Science, SAS; Ph.D., Georgia Institute of Technology
Complexity theory; parallel and probabilistic computation

Tadeusz Balaban, Professor of Mathematics, SAS; Ph.D., Warsaw
Mathematical physics

R. Michael Beals, Distinguished 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, Distinguished Professor of Management, RBS; Ph.D., Northwestern
Matrix theory; numerical linear algebra; convexity and optimization operations research; mathematical economics

Lev A. Borisov, Professor of Mathematics, SAS; Ph.D., Michigan
Algebraic geometry and related areas

Haim Brezis, Distinguished Visiting Professor of Mathematics, SAS; Doctorat, Paris
Nonlinear functional analysis; partial differential equations

Anders Buch, Professor of Mathematics, SAS; Ph.D., Chicago
Algebraic geometry; combinatorics

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

Fioralba Cakoni, Professor of Mathematics, SAS; Ph.D., Tirana and Patras (Greece)
Partial differential equations; inverse problems; scattering theory

Lisa Carbone, Associate Professor of Mathematics, SAS; Ph.D., Columbia
Infinite dimensional groups and algebras; applications to number theory and physics

Eric Anders Carlen, Distinguished Professor of Mathematics, SAS; Ph.D., Princeton
Mathematical physics; functional analysis and probability

Sagun Chanillo, Distinguished Professor of Mathematics, SAS; Ph.D., Purdue
Classical analysis; partial differential equations

Gregory L. Cherlin, Distinguished Professor of Mathematics, SAS; Ph.D., Yale
Logic; model theory; model theoretic algebra

Duiliu-Emanuel Diaconescu, Professor of Physics and Astronomy, SAS; Ph.D., Rutgers
String theory; algebraic geometry

Richard S. Falk, Distinguished Professor of Mathematics, SAS; Ph.D., Cornell
Numerical analysis; partial differential equations

Martin Farach-Colton, Professor of Computer Science, SAS; Ph.D., Maryland
Computational molecular biology; sequential and partial algorithms

Paul Feehan, Professor of Mathematics, SAS; Ph.D., Columbia
Partial differential equations; mathematical physics and four-manifold topology; mathematical finance

Mark Feighn, Distinguished Professor of Mathematics, FAS-N; Ph.D., Columbia
Topology and geometric group theory; low-dimensional manifolds

Michael L. Fredman, Distinguished Professor of Computer Science, SAS; Ph.D., Stanford
Data structures and algorithms; computational complexity

Siqi Fu, 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
Mathematical physics; statistical mechanics; quantum field theory; dynamical systems

Jane P. Gilman, Distinguished Professor of Mathematics and Computer Science, FAS-N; Ph.D., Columbia
Riemann surfaces; Teichmuller theory; hyperbolic geometry

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, Distinguished Professor of Learning and Teaching, GSE; Ph.D., Princeton
Mathematical physics; infinite-dimensional Lie theory; nonlinear systems; secondary education

Sheldon Goldstein, Distinguished Professor of Mathematics, SAS; Ph.D., Yeshiva
Foundations of quantum mechanics; foundations of statistical mechanics; mathematical physics; probability theory

Richard F. Gundy, Distinguished Professor of Statistics and Mathematics, SAS; Ph.D., Chicago
Wavelets and time-frequency analysis; probability theory

Zheng-Chao Han, Professor of Mathematics, SAS; Ph.D., Courant
Nonlinear analysis; partial differential equations

Xiaojun Huang, Distinguished 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
Analytic number theory

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

Jeffry N. Kahn, Distinguished Professor of Mathematics, SAS; Ph.D., Ohio State
Combinatorics and related fields

Michael Kiessling, Professor of Mathematics, SAS; Ph.D., Bochum (Germany)
Mathematical physics: foundations of physics, statistical mechanics; analysis: nonlinear partial differential equations

János Komlós, Distinguished Professor of Mathematics, SAS; Ph.D., Eötvös (Hungary)
Discrete mathematics; combinatorics; probability; theoretical computer science 

Alexander Kontorovich, Associate Professor of Mathematics, SAS; Ph.D., Columbia
Number theory; automorphic forms, homogeneous dynamics

Swastik Kopparty, Associate Professor of Mathematics and Computer Science, SAS; Ph.D., Massachusetts Institute of Technology
Theoretical computer science; error-correcting codes; randomness and pseudorandomness; computational complexity

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

James Lepowsky, Distinguished Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology
Representation theory; vertex operator algebras; mathematics underlying string theory 

Haisheng Li, Professor of Mathematics, FAS-C; Ph.D., Rutgers
Vertex operator algebras; mathematics related to string theory

Yanyan Li, Distinguished Professor of Mathematics, SAS; Ph.D., New York
Nonlinear analysis; partial differential equations

Liping Liu, Associate Professor of Mathematics and Mechanical and Aerospace Engineering, SAS and SE; Ph.D., Minnesota (Twin Cities)
Mechanics and mathematics of material

Feng Luo, Professor of Mathematics, SAS; Ph.D., California (San Diego)
Topology and geometry; low-dimensional topology; geometric structures on manifolds

Richard N. Lyons, Distinguished Professor of Mathematics, SAS; Ph.D., Chicago
Simple groups

Stephen D. Miller, Professor of Mathematics, SAS; Ph.D., Princeton
Automorphic forms; L-functions

Konstantin Mischaikow, Distinguished Professor of Mathematics, SAS; Ph.D., Wisconsin (Madison)
Topological and computational dynamics; mathematical biology; nonlinear data analysis

Gregory Moore, Distinguished Professor of Physics and Astronomy, SAS; Ph.D., Harvard
Theoretical high-energy physics

Lee Mosher, Distinguished Professor of Mathematics and Computer Science, FAS-N; Ph.D., Princeton
Low-dimensional topology and geometry; geometric group theory

Roger Nussbaum, Distinguished 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

John D. Randall, Associate Professor of Mathematics and Computer Science, FAS-N; Ph.D., Warwick (UK)
Differential 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, Distinguished Professor of Mathematics, SAS; Ph.D., Stanford
Applications of discrete mathematics; graph theory; decision theory; measurement theory; data science; mathematical modeling

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

Joseph G. Rosenstein, Distinguished Professor of Mathematics, SAS, and Associate Director of Education, DIMACS; Ph.D., Cornell
Mathematics education; logic; linear orderings; recursive model theory

David Ruelle, Distinguished Visiting Professor of Mathematics, SAS; Ph.D., Brussels
Statistical mechanics; dynamical systems

Siddhartha Sahi, Professor of Mathematics, SAS; Ph.D., Yale
Harmonic analysis on reductive Lie groups

Michael Saks, Distinguished Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology Theory of computation; discrete mathematics


Shubhangi Saraf, Associate Professor of Mathematics and Computer Science, SAS; Ph.D., Massachusetts Institute of Technology

Theoretical computer science (complexity theory and property testing)


Grigor Sargsyan, Assistant Professor of Mathematics, SAS; Ph.D., California (Berkeley)
Set theory: inner model theory, descriptive set theory, forcing, and large cardinals

Vladimir Scheffer, Professor of Mathematics, SAS; Ph.D., Princeton
Geometric measure theory; partial differential equations 

Natasa Sesum, Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology
Ricci flow, Yamabe flow, and other geometric flows; partial differential equations; complex geometry; Kahler-Einstein metrics

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

Diana F. Shelstad, Distinguished Professor of Mathematics and Computer Science, FAS-N; Ph.D., Yale
Harmonic analysis on algebraic groups related to number theory and geometry

Charles C. Sims, Professor Emeritus of Mathematics, SAS; Ph.D., Harvard
Computational group theory and algebraic algorithms

Avraham Soffer, Distinguished Professor of Mathematics, SAS; Ph.D., Tel Aviv
Theory of partial differential evolution equations; Schrödinger operators and scattering theory; general mathematical physics

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

Eduardo D. Sontag, Distinguished 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, Distinguished Professor of Computer Science, SAS; Ph.D., Australian National
Algorithms; discrete and computational geometry

Jacob Sturm, Distinguished Professor of Mathematics and Computer Science, FAS-N; Ph.D., Princeton
Number theory; automorphic forms; geometric analysis

Hector J. Sussmann, Distinguished Professor of Mathematics, SAS; Ph.D., New York
System and control theory

Mario Szégédy, Distinguished Professor of Computer Science, SAS; Ph.D., Chicago
Theoretical computer science; programming languages; combinatorics; combinatorial geometry; artificial intelligence

A. Shadi Tahvildar-Zadeh, Professor of Mathematics, SAS; Ph.D., New York
Nonlinear hyperbolic partial differential equations

Simon Thomas, Distinguished 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

Jerrold B. Tunnell, Associate Professor of Mathematics, SAS; Ph.D., Harvard
Number theory; automorphic forms

Michael Vogelius, Board of Governors Professor of Mathematics, SAS; Ph.D., Maryland
Numerical analysis; partial differential equations

Charles A. Weibel, Distinguished Professor of Mathematics, SAS; Ph.D., Chicago
Algebraic K-theory; homological algebra; algebraic topology; category theory

Christopher T. Woodward, Distinguished Professor of Mathematics, SAS; Ph.D., Massachusetts Institute of Technology
Symplectic geometry; geometric quantization

Doron Zeilberger, Board of Governors Professor of Mathematics, SAS; Ph.D., Weizmann (Israel)
Algebraic and enumerative combinatorics; experimental mathematics

Wujun Zhang, Assistant Professor of Mathematics, SAS; Ph.D., Minnesota (Twin Cities)
Computational mathematics

Associate Members of the Graduate Faculty

Michael Katehakis, Distinguished Professor of Management Science and Information Systems, RBS; Ph.D., Columbia
Optimization, stochastic systems; dynamic programming; data science; machine learning; applications to business and operations management

William F. Keigher, Associate Professor of Mathematics and Computer Science, FAS-N; Ph.D., Illinois
Differential and commutative algebra; category theory; algebraic geometry

Juan Pablo Mejía-Ramos, Associate Professor of Learning and Teaching, GSE, SAS; Ph.D., Warwick (UK)

Mathematical reasoning; mathematical argumentation and proof; mathematics education



 
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