Courant Institute New York University FAS CAS GSAS

Faculty and Areas of Expertise

Listed below are the faculty of the Department of Mathematics as of the academic year 2016-17.

Scott Armstrong. Associate Professor. Ph.D. 2009, University of California, Berkeley. Research interests: Partial differential equations, probability theory, and stochastic homogenization.

Tim Austin. Associate Professor. Ph.D. 2010, University of California, Los Angeles. Research interests: analysis, probability and ergodic theory.

Marco M. Avellaneda.  Professor.  Licenciado en Ciencias 1981, Buenos Aires; Ph.D. 1985, Minnesota.  Research interests:  applied mathematics, mathematical modeling in finance, probability.

Yuri Bakhtin.  Associate Professor.  B.A. 1998, M.A. 1999, Ph.D. 2001, Moscow State University.  Research interests:  Random dynamics, probabilistic models of mathematical physics.

Afonso Bandeira.  Assistant Professor.  B.S. 2009, M.S. 2010, University of Coimbra; Ph.D. 2015, Princeton University.  Research interests:  Applied mathematics, optimization, probability, information theory, signal processing, mathematics of data science.

Gerard Ben Arous.  Professor.  Ph.D. 1981, University of Paris.  Research interests:  probability theory, stochastic processes, partial differential equations.

Marsha J. Berger.  Professor.  B.A. 1974, SUNY (Binghamton); M.A. 1978, Ph.D. 1982, Stanford.  Research interests:  computational fluid dynamics, adaptive methods for partial differential equations, parallel computing.

Fedor A. Bogomolov.  Professor.  Diploma 1970, Moscow University; Ph.D. 1974, Steklov Institute of Mathematics.  Research interests:  algebraic geometry and related problems in algebra, topology, number theory.

Paul Bourgade.  Associate Professor.  B.S. 2006, Ecole Polytechnique; M.S. 2007, Ph.D. 2009, Université Paris 6.  Research interests:  Probability, random matrices, statistical physics and stochastic processes.

Oliver Bühler.  Professor.  Ph.D. 1996, Cambridge University.  Research interests:  geophysical fluid dynamics, interactions between waves and vortices, acoustics, statistical mechanics.

David Cai.  Professor.  B.S. 1984, Peking University; M.S. 1989, Ph.D. 1994, Northwestern.  Research interests:  nonlinear stochastic behavior in physical and biological systems.

Sylvain E. Cappell.  Silver Professor.  B.A. 1966, Columbia; Ph.D. 1969, Princeton.  Research interests:  algebraic and geometric topology, symplectic and algebraic geometry.

Antoine Cerfon.  Assistant Professor.  B.S. 2003, Ecole des Mines de Paris; Ph.D. 2010, MIT.  Research interests:  magnetohydrodynamics in fusion and astrophysical plasmas, nonneutral plasmas, kinetic theory in plasmas and rarefied gases.

Jeff Cheeger.  Professor.  B.A. 1964, Harvard College; M.S. 1966, Ph.D. 1967, Princeton.  Research interests:  differential geometry and its connections to analysis and topology.

Yu Chen.  Associate Professor.  B.S. 1982, Tsinghua University; M.S. 1988, Ph.D. 1991, Yale.  Research interests:  numerical scattering theory, ill-posed problems, scientific computing.

Percy A. Deift.  Professor.  B.S. 1967, M.S. 1970, Natal, Durban; M.S. 1971, Rhodes South Africa; Ph.D. 1976, Princeton.  Research interests:  spectral theory and inverse spectral theory, integrable systems, Riemann-Hilbert problems.

Aleksandar Donev.  Associate Professor of Mathematics.  Multi-scale (hybrid) methods; fluctuating hydrodynamics; coarse-grained particle methods; jamming and packing

Carlos Fernandez-Granda .  Assistant Professor of Mathematics.  B.S. 2008, École des Mines de Paris / ETSIT, Universidad Politécnica de Madrid; M.S., École Normale Supérieure de Cachan, Paris; Ph.D. 2015, Stanford.

Alfred Galichon.  Associate Professor (Economics and Mathematics).  B.S. 2000, École Polytechnique; M.S. 2003, Ecole des Mines de Paris (Corps des Mines); Ph.D. 2007, Harvard University.  Research interests:  optimal transport, mathematical finance, economic equilibrium.

Edwin Gerber.  Associate Professor of Mathematics and Atmosphere/Ocean Science.   Ph.D. 2005, Princeton; B.S. 2000, The University of the South.   Research interests: Atmospheric dynamics, climate variability, stochastic modeling.

Pierre Germain.  Associate Professor, MS 2001, PhD 2006 Ecole polytechniqe.  Research interests:  nonlinear partial differential equations, harmonic analysis.

Dimitris Giannakis, Assistant Professor, Ph.D. 2009, University of Chicago. Research interests: Atmosphere ocean science, geometric data analysis, uncertainty quantification

Jonathan B. Goodman.  Professor.  B.S. 1977, Massachusetts Institute of Technology; Ph.D. 1982, Stanford.  Research interests:  fluid dynamics, computational physics, computational finance.

Leslie Greengard.  Professor.  B.A. 1979, Wesleyan; M.D. 1987, Ph.D. 1987, Yale.  Research interests:  applied and computational math, partial differential equations, computational chemistry, mathematical biology.

Mikhael Gromov.  Jay Gould Professor.  Maitrise 1965, Doctorat 3e Cycle 1969, D.Sc. 1973, University of Leningrad.  Research interests:  Riemannian manifolds, symplectic manifolds, infinite groups, math models of biomolecular systems.

Sinan Gunturk.  Professor.  B.S. 1996, Bogazici University; Ph.D. 2000, Princeton.  Research interests:  harmonic analysis, information theory, signal processing.

Fengbo Hang. Associate Professor. B.S. 1993, Tsinghua University; Ph.D. 2001, NYU. Research interests: geometric analysis.

David Holland.  Professor.  B.S. 1984, B.A. 1993, M.S. 1986, Memorial University (Newfoundland); Ph.D. 1993, McGill.  Research interests:  ocean-ice studies, climate theory and modeling.

Miranda Holmes-Cerfon.  Assistant Professor.  Research interests:  materials science, statistical mechanics, ocean dynamics, stochastic methods.

Richard Kleeman.  Professor.  B.S. 1980, Australian National University, Ph.D. 1986, Adelaide University.  Research interests:  climate dynamics, El Nino, predictability of weather and climate dynamical systems.

Bruce Kleiner. Professor.   Ph.D. 1990, Berkeley; B.A. 1985, Berkeley.   Research interests: Geometric analysis, geometric group theory and geometric evolution equations.

Robert V. Kohn.  Professor.  A.B. 1974, Harvard; M.S. 1975, Warwick (England); Ph.D. 1979, Princeton.  Research interests:  nonlinear partial differential equations, materials science, mathematical finance.

Fang-Hua Lin.  Professor.  B.S. 1981, Zhejing; Ph.D. 1985, Minnesota.  Research interests:  partial differential equations, geometric measure theory.

Eyal Lubetzky.  Associate Professor.  B.S. 2002, Ph.D. 2007, Tel-Aviv University.  Research interests:  Probability theory and combinatorics.

Andrew J. Majda.  Professor.  B.S. 1970, M.S. 1971, Ph.D. 1973, Stanford.   Research interests:  modern applied mathematics, atmosphere/ocean science, partial differential equations.

Nader Masmoudi.  Professor.  Ph.D. 1999, University of Paris Dauphine.  Research interests:  nonlinear parallel differential equations.

Henry P. McKean.  Silver Professor.  B.A. 1952, Dartmouth; Ph.D. 1955, Princeton.  Research interests:  probability, partial differential equations, complex function theory.

David W. McLaughlin, Silver Professor of Mathematics and Neural Science. B.S. 1966, Creighton.  M. S. 1969, Ph.D. 1971, Indiana.  Research interests:  applied mathematics, nonlinear wave equations, visual neural science.

Bhubaneswar Mishra.  Professor.  B.Tech 1980, Indian Institute of Technology; M.S. 1982, Ph.D. 1985, Carnegie Mellon.  Research interests:  robotics, genomics, finance, mathematical and theoretical computer science.

Alex Mogilner.  Professor (Mathematics and Biology).  M.Eng. 1985, Ural Polytechnic Institute; Ph.D. 1990, USSR Academy of Sciences; Ph.D. 1995, University of British Columbia.  Research interests:  Computational Biology, Cell Biophysics and Mathematical Biology.

Charles M. Newman.  Professor.  B.S. 1966, Massachusetts Institute of Technology; M.A. 1968, Ph.D. 1971, Princeton.  Research interests:  probability theory, statistical physics, stochastic models.

Michael O'Neil.  Assistant Professor (joint appointment with NYU Tandon School of Engineering).  A.B. 2003, Cornell University; M.Phil 2005, Ph.D. 2007, Yale University.  Research interests:  Electromagnetics, acoustics, fluid dynamics, fast algorithms, integral equations and computational statistics.

Michael Overton.  Professor.  B.S. 1974, British Columbia; M.S. 1977, Ph.D. 1979, Stanford.  Research interests:  numerical linear algebra, optimization, linear and semi-definite programming.

Olivier Pauluis.  Professor.  B.S./M.S. 1995, University Catholique de Louvain; Ph.D. 2000, Princeton.  Research interests:  climate and the general circulation of the atmosphere, moist convection, tropical meteorology, numerical modeling.

Jerome K. Percus.  Professor.  B.S. 1947, M.A. 1948, Ph.D. 1954, Columbia.   Research interests:  chemical physics, mathematical biology.

Charles S. Peskin.  Professor.  B.A. 1968, Harvard; Ph.D. 1972, Yeshiva.   Research interests:  applications of mathematics and computing to problems in medicine and biology, cardiac fluid dynamics, molecular machinery within biological cells, mathematical/computational neuroscience.

Alena Pirutka.  Assistant Professor.  Ph.D. 2011, Université Paris-Sud XI, Orsay.  Research interests:  arithmetic and algebraic geometry, number theory.

Aaditya Rangan.  Associate Professor. B.A. 1999, Dartmouth; Ph.D. 2003, California (Berkeley). Research interests: computational biology, numerical analysis.

John Rinzel.  Professor.  B.S. 1967, University of Florida; M.S. 1968, Ph.D. 1973, New York.  Research interests:  computational neuroscience, nonlinear dynamics of neurons and neural circuits, sensory processing.

Leif Ristroph. Assistant Professor of Mathematics. Research Interests: Fluid dynamics, non-linear dynamics, experimental physics, biophysics, and geophysics.

Sylvia Serfaty.  Professor.  M.S. 1995, Ecole Normale Superieure; Ph.D. 1999, University of Paris-Orsay.  Research interests:  Nonlinear Partial Differential Equations, Ginzburg-Landau equations, and variational problems from material science.

Jalal M. I. Shatah.  Professor.  B.S. 1979, Texas (Austin); Ph.D. 1983, Brown.  Research interests:  partial differential equations, analysis.

Michael J. Shelley.  Professor of Mathematics and Neural Science and the Lilian and George Lyttle Professor of Applied Mathematics.  B.A. 1981, Colorado; M.S. 1984, Ph.D. 1985, Arizona.  Research interests:  applied math and modeling, visual neuroscience, fluid dynamics, computational physics and neuroscience.

K. Shafer Smith.  Associate Professor.  B.S. 1992, Indiana; Ph.D. 1999, UC Santa Cruz.  Research interests:  geophysical fluid dynamics, physical oceanography and climate.

Joel H. Spencer.  Professor.  B.S. 1965, Massachusetts Institute of Technology; Ph.D. 1970, Harvard.  Research interests:  discrete mathematics, theoretical computer science.

K.R. Sreenivasan.  Professor of Physics and Mathematics; Executive Vice Provost for Engineering and Applied Sciences, NYU; Research interest: turbulence, complex fluids, cryogenic helium and nonlinear dynamics.

Georg Stadler.  Associate Professor.  Mag.rer.nat. 2001, Dr.rer.nat. 2004, University of Graz.  Research interests:  parallel scientific computing, inverse problems, PDE-constrained optimization, variational inequalities, computational earth sciences.

Daniel Stein.  Professor.  Sc.B. 1975, Brown University; M.A. 1977, Ph.D. 1979, Princeton University.  Research interests:  theoretical condensed matter physics, statistical mechanics, and mathematical physics.

Esteban G. Tabak.  Professor.  Bach. 1988, University of Buenos Aires; Ph.D. 1992, Massachusetts Institute of Technology.  Research interests:  dynamics of the atmosphere and ocean, energy transfer in systems with many degrees of freedom.

Daniel A. Tranchina.  Professor of Biology, Mathematics, and Neural Science.  B.A. 1975, SUNY (Binghamton); Ph.D. 1981, Rockefeller.  Research interests:  mathematical modeling in neuroscience.

Nick Trefethen. Global Distinguished Professor of Mathematics and Computer Science.

Yuri Tschinkel.  Professor.  M.A. 1990, Moscow State University; Ph.D. 1992, Massachusetts Institute of Technology.  Research interests:  algebraic geometry, number theory, automorphic forms.

Eric Vanden-Eijnden.  Professor.  Ph.D. 1997, Universite Libre de Bruxelles.  Research interests:  stochastic partial differential equations, statistical mechanics, turbulence theory.

S. R. Srinivasa Varadhan.  Professor.  B.S. 1959, M.A. 1960, Madras; Ph.D. 1963, Indian Statistical Institute.  Research interests:  probability theory, stochastic processes, partial differential equations.

Olof Widlund.  Professor.  M.S. 1960, Ph.D. 1964, Royal Institute of Technology (Stockholm); D. Phil. 1966, Upsala.  Research interests:  numerical analysis, partial differential equations, parallel computing.

Margaret H. Wright. Silver Professor of Computer Science and Mathematics Optimization; scientific computing; linear algebra.

Lai-Sang Young.  Professor of Mathematics and the Henry & Lucy Moses Professor of Science   B.A. 1973, Wisconsin; M.A. 1976, Ph.D. 1978, California (Berkeley).  Research interests:  dynamical systems and ergodic theory.

Robert Young.  Associate Professor.  B.A. 2002, Simon's Rock College of Bard; M.S. 2004, Ph.D. 2007, University of Chicago.  Research interests:  Geometric group theory, metric geometry, and quantitative geometry.

Ofer Zeitouni. Global Distinguished Professor of Mathematics.

Jun Zhang.  Professor of Physics and Mathematics.  B.S. 1985, Wuhan University (China); Ph.D. 1994, University of Copenhagen.  Research interests:  fluid dynamics, biophysics, complex systems.

Denis Zorin. Professor of Computer Science and Mathematics Computer graphics; geometric modeling; subdivision surfaces; multiresolution surface representations; fluid and solid simulation; perceptually based methods for computer graphics.

Contract Faculty

Vindya Bhat. Clinical Assistant Professor.  B.A. 2000, Rutgers University; M.A. 2007, Columbia University; Ph.D. 2014, Emory University.  Research interests: Ramsey theory and combinatorics.

Selin Kalaycioglu.  Clinical Associate Professor. Ph.D. 2009 University of Arizona. Research interests: Computational group theory, representation theory of finite groups and alegebras, math education.

Petter N. Kolm.  Clinical Professor and Director of the Mathematics in Finance Masters Program. M.S. (Diplommathematiker) 1994, ETH Zurich; M.Phil. (Tekn. Lic.) 2000, Royal Institute of Technology; Ph.D. 2000, Yale University. Research interests: financial econometrics, financial mathematics, optimization, quantitative trading, portfolio and risk management.

Matthew Leingang.  Vice Chair for Undergraduate Studies, Clinical Professor. Ph.D. 2000, Harvard;  Research interests: Mathematics Education, Web Pedagogies, differential geometry.

Trushant Majmudar.  Clinical Assistant Professor.  Ph.D. 2006, Duke University. Research interests: Bio-fluid Dynamics, bio-locomotion, soft condensed matter.

Sophie Marques.  Clinical Assistant Professor.  Ph.D. 2013, Université Bordeaux I and Università degli studi di Padova, France.

Hesam Oveys.  Clinical Assistant Professor.  Ph.D. 2015, University of Missouri. 

Fan Ny Shum.  Clinical Assistant Professor.  Ph.D. 2016, University of Connecticut.  Research interests: Stochastic differential equations, partial differential equations, geometric control theory, and Lie theory.

Mutiara Sondjaja.  Clinical Assistant Professor.  B.A. 2008, Harvey Mudd College; Ph.D. 2014, Cornell University.  Research interests: Optimization; interior-point methods; operations research.

Drew Youngren.  Clinical Assistant Professor.  Ph.D. 2006, Northwestern University.  Research interests: microlocal analysis.

Visiting Faculty

Jose Diaz-Alban.  Visiting Assistant Professor.

Dmitry Zakharov.  Visiting Assistant Professor.

Research Faculty

David McQueen.  Research Professor

Associated and Affiliated Faculty

Kit Fine.  Professor.  B.A., Oxford; Ph.D., Warwick.  Research interests:  logic, metaphysics, philosophy of language

Paul Horn. Distinguished Scientist in Residence.

Alexander Jones.  Professor, Institute for the Study of the Ancient World

Efe A. Ok.  Professor.  Ph.D. 1995, Cornell University.  Research interests:  decision theory, order theory, applied functional analysis.

Tamar Schlick.  Professor.  B.S. 1982, Wayne State; M.S. 1984, Ph.D. 1987, New York.  Research interests:  mathematical biology, numerical analysis, computational chemistry.

Bob Shapley.  Professor.  Ph.D. 1970, The Rockefeller University.   Research interests:  visual physiology and perception.

Vladas Sidoravicius .  Professor of Mathematics, NYU Shanghai.  M.A. 1986, University of Vilnius; Ph.D. 1990, Moscow State University and Institute of Mathematics and Informatics, Vilnius.  Research interests:  Probability Theory, Ergodic Theory, Statistical Physics.

Eero P. Simoncelli.  Professor.  B.S. 1984, Harvard; Ph.D. 1993, Massachusetts Institute of Technology.  Research interests:  representation and processing of visual information in machines and humans.

Daniel Sodickson.  Associate Professor of Radiology, Physiology and Neuroscience at NYU Medical School.

Alan Sokal.  Professor.  Ph.D. 1981, Princeton.  Research interests:  mathematical physics, quantum field theory, statistical physics, computational physics.

Mark E. Tuckerman.  Associate Professor.  B.A. 1986, California (Berkeley); Ph.D. 1993, Columbia.  Research interests:  statistical mechanics, algorithms for molecular dynamics and electronic structure, computational chemistry.

Professors Emeriti

Simeon Berman

Martin D. Burrow

Stephen Childress

Harold M. Edwards, Jr.

Frederick P. Greenleaf.  Professor Emeritus.  B.S. 1955 Pennsylvania State; M.A. 1961, Ph.D. 1964, Yale.  Research interests:  noncommutative harmonic analysis, Lie groups and group representations, invariant partial differential operators.

Melvin Hausner

Frank Hoppensteadt

Frank C. Karal

Peter D. Lax

Cathleen S. Morawetz

Louis Nirenberg

Albert B. J. Novikoff

Richard Pollack

Lu Ting

Harold Weitzner

Professors In Memoriam

Jack Bazer

Paul R. Garabedian.  Professor.  B.A. 1946, Brown; M.A. 1947, Ph.D. 1948, Harvard.  Research interests:  complex analysis, computational fluid dynamics, plasma physics.

Eliezer Hameiri.  Professor.  B.A. 1970, M.A. 1972, Tel Aviv; Ph.D. 1976, New York.  Research interests:  applied mathematics, magnetohydrodynamics, plasma physics.

Samuel N. Karp

Harold Shapiro