Faculty and Areas of Expertise
People
Listed below are the faculty of the Department of Mathematics as of the academic year 2012-13.
Tim Austin. Assistant 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.
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.
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. Professor. B.A. 1966, Columbia; Ph.D. 1969, Princeton. Research interests: algebraic and geometric topology, symplectic and algebraic geometry.
Antoine Cerfon. Assistant Professor of Mathematics. Magnetohydrodynamics in fusion and astrophysical plasmas, nonneutral plasmas, kinetic theory in plasmas and rarefied gases
Sourav Chatterjee. Associate Professor of Mathematics. Ph.D. 2005, Stanford; M.S. 2002, Indian Statistical Institute, Kolkata; B.S. 2000, Indian Statistical Institute, Kolkata. Probability theory, stochastic processes, mathematical physics and theoretical statistics. Specific current interests: Stein's method, spin glasses, central limit theorems, random matrix theory.
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 Assistant Professor of Mathematics. Multi-scale (hybrid) methods; fluctuating hydrodynamics; coarse-grained particle methods; jamming and packing
Edwin Gerber. Assistant
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. Assistant Professor, MS 2001, PhD 2006 Ecole
polytechniqe. Research interests: nonlinear partial
differentail, 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.
Frederick P. Greenleaf. Professor. 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.
Mikhael Gromov. 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.
Associate Professor. B.S. 1996, Bogazici University; Ph.D. 2000,
Princeton. Research interests: harmonic analysis,
information theory, signal processing.
Eliezer Hameiri. Professor. B.A. 1970, M.A. 1972, Tel Aviv; Ph.D. 1976, New York. Research interests: applied mathematics, magnetohydrodynamics, plasma physics.
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.
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.Chris Jankowski. Clinical Assistant Professor. Phd. 2009, University of Pennsylvania. Reseach interests: Operator Algebras.
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.
Petter N. Kolm. Clinical Associate Professor and Deputy 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.
Fang-Hua Lin. Professor. B.S. 1981, Zhejing; Ph.D. 1985, Minnesota. Research interests: partial differential equations, geometric measure theory.
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. Professor. B.A. 1952, Dartmouth; Ph.D. 1955, Princeton. Research interests: probability, partial differential equations, complex function theory.
David W. McLaughlin, Professor. 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.
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.
Assaf Naor. Professor. Ph.D. Hebrew University in Jerusalem 2002. Research interests: Analysis, theoretical computer science, metric geometry, Banach spaces.
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. Associate 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.
Aaditya Rangan. Assistant 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.
Sylvia Serfaty. Global Distinguished Professor. M.S. 1995, Ecole Normale Superieure; Ph.D. 1999, University of Paris-Orsay. Research interests: partial differential equations, nonlinear analysis applied to physics.
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; Senior Vice Provost, NYU; Research interest: turbulence, complex fluids, cryogenic helium and nonlinear dynamics.
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. B.A. 1975, SUNY (Binghamton); Ph.D. 1981, Rockefeller. Research interests: mathematical modeling in neuroscience.
Yuri Tschinkel. Professor. M.A. 1990, Moscow State University; Ph.D. 1992, Massachusetts Institute of Technology. Research interests: algebraic geometry, number theory, automorphic forms.
Mark Tygert. Assistant Professor of Mathematics. Ph.D 2004, Yale; B.A. 2001, Princeton. Computational science and engineering, particularly numerical analysis.
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.
Harold Weitzner. Professor. B.A. 1954, California; M.A. 1955, Ph.D. 1958, Harvard. Research interests: plasma physics, fluid dynamics, differential equations.
Olof B. 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.
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.
Jun Zhang. Professor. B.S. 1985, Wuhan University (China); Ph.D. 1994, University of Copenhagen. Research interests: fluid dynamics, biophysics, complex systems.
Clinical Faculty
Matthew Leingang. Clinical Associate Professor. Ph.D. 2000, Harvard; Research interests: Mathematics Education, Web Pedagogies, differential geometry.
Alexander Hanhart. Clinical Assistant Professor. Ph.D., 2009, University of Minnesota; M.S. 2007, 2002 University of Minnesota, University of Maryland, Baltimore County; B.S. 2000, University of Maryland, Baltimore County. Research interests: Topological and Geometric methods in Mathematical Physics, Scientific Computing.
Selin Kalaycioglu. Clinical Assistant Professor, Ph.D. 2009 University of Arizona. Research interests: Computational group theory, representation theory of finite groups and alegebras, math education.
Kiryl Tsishchanka. Clinical Assistant Professor. Ph.D. 1998, Belarusian National Academy of Science; M.S. 1992, Belarusian National Academy of Science. Research interests: number theory.
Trushant Majmudar. Clinical Assistant Professor. Ph.D. 2006, Duke University. Research interests: Bio-fluid Dynamics, bio-locomotion, soft condensed matter.
Research Faculty
Choong-Seock Chang. Research Professor. Plasma transport theories
Henry R. Strauss. Research Professor. Computational plasma physics
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
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.
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
Frank C. Karal
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.Samuel N. Karp