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Faculty and Areas of Expertise

Listed below are the faculty of the Department of Mathematics as of the academic year 2014-15.

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.

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.  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

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. 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.  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.

Miranda Holmes-Cerfon Assistant Professor of Mathematics. Applied math, mesoscale physics, 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.  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.

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 (NYU Polytechnic School of Engineering and NYU Courant).  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.  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.  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.  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.

Georg Stadler.  Associate Professor.  Mag.rer.nat. 2001, Dr.rer.nat. 2004, University of Graz.  Research interests:  Numerical solution of PDEs, high-performance computing, variational inequalities, and 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.  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.  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 Instructor.  B.A. 2000, Rutgers University; M.A. 2007, Columbia University; Ph.D. 2014, Emory University.  Research interests: Ramsey theory and combinatorics.

Chris Jankowski. Clinical Assistant Professor. Phd. 2009, University of Pennsylvania. Reseach interests: Operator Algebras.

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 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.

Matthew Leingang. Vice Chair for Undergraduate Studies, Clinical Associate 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.

Michael Munn.  Clinical Assistant Professor.  B.S. 2001, University of Notre Dame; M.Phil. 2006, Ph.D. 2008, CUNY.  Research interests: geometric analysis and metric geometry.

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

Elizabeth Stepp    Clinical Assistant Professor

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

Visiting Faculty

Jose Diaz-Alban   Visiting Assistant Professor

Sophie Marques   Visiting Assistant Professor

Research Faculty

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

W. Stephen Childress

Harold M. Edwards, Jr.

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.

Samuel N. Karp

Harold Shapiro