# Faculty and Areas of Expertise

# Masters Students

# PhD Students

# Postdocs/Instructors Researchers/Visitors

# Staff

Listed below are the faculty of the Departments of Computer Science and Mathematics.

**Tim Austin**

Associate Professor of Mathematics

Ergodic Theory, Geometry and Analysis

**Marco M.
Avellaneda
** Professor of Mathematics

Probability; partial differential equations; applied mathematics; quantitative modeling in finance; homogenization; turbulence theory

**Yuri Bakhtin
**Associate Professor of Mathematics

Random dynamics, probabilistic models of mathematical physics

**Anasse Bari**

Clinical Assistant Professor of Computer Science

**Clark Barrett
** Associate Professor of Computer Science

Propositional satisfiability (SAT); satisfiability modulo theories (SMT); automated deduction and applied logic; proof-producing algorithms; formal and semi-formal verification of hardware and software; combining verification systems.

**Gerard Ben Arous**

Professor of Mathematics

Probability theory

**Marsha J. Berger
**Silver Professor of Computer Science and Mathematics

Computational fluid dynamics; adaptive methods; parallel scientific computing.

**Vindya Bhat**

Clinical Assistant Professor of Mathematics

Ramsey theory; combinatorics

**Amos Bloomberg
**Clinical Assistant Professor of Computer Science

**Fedor A. Bogomolov
**Silver Professor of Mathematics

Algebraic geometry; algebra; complex differential geometry

**Richard Bonneau**

Associate Professor of Biology and Computer Science

Algorithms for learning regulatory networks/biological control,
computational structural biology, and systems biology.

**Paul Bourgade**

Associate Professor of Mathematics

Probability, random matrices, statistical physics and stochastic processes

**Oliver
Bühler
** Professor of Mathematics and Atmosphere/Ocean Science

Geophysical fluid dynamics; waves and vortices in the atmosphere and oceans

**David Cai
**Professor of Mathematics and Neural Science

Nonlinear stochastic behavior in physical and biological systems

**Sylvain E. Cappell
**Silver Professor of Mathematics

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
**Silver Professor of Mathematics

Differential geometry and its connections to topology and analysis

**Yu Chen
**Associate Professor of Mathematics

Numerical scattering theory; ill-posed problems; scientific computing

**Kyunghyun Cho
**Assistant Professor of Computer Science

**Joshua Clayton
**Clinical Assistant Professor of Computer Science

**Richard J. Cole
**Silver Professor of Computer Science

Algorithmics; algorithmic economics and game theory; algorithms in nature and society.

**Patrick Cousot
**Silver Professor of Computer Science

Abstract interpretation, semantics, verifcation, static analysis.

**Ernest Davis
**Professor of Computer Science

Artificial intelligence; knowledge representation; automated commonsense reasoning.

**Percy A. Deift
**Silver Professor of Mathematics

Mathematical physics; scattering and inverse scattering; spectral theory; inverse spectral theory; integrable systems

**Jose Diaz-Alban
**Visiting Assistant Professor of Mathematics

**Yevgeniy Dodis
**Professor of Computer Science

Cryptography; approximation algorithms; information theory; lower bounds; combinatorics.

**Aleksandar Donev**

Associate Professor of Mathematics

Multi-scale (hybrid) methods, fluctuating hydrodynamics; coarse-grained
particle methods; jamming and packing

**Deena Engel
**Clinical Professor of Computer Science

**Rob Fergus
**Associate Professor of Computer Science

Computer vision and computational photography

**Carlos Fernandez-Granda**

Assistant Professor of Mathematics

**Jean-Claude Franchitti
**Clinical Associate Professor of Computer Science

**Jeffrey Freidberg**

Visiting Professor of Mathematics

**Alfred Galichon**

Visiting Associate Professor of Economics and Mathematics

Optimal transport; mathematical finance; economic equilibrium

**Davi Geiger
**Associate Professor of Computer Science and Neural Science

Computational vision, learning, memory, and applications.

**Edwin Gerber
**Associate Professor of Mathematics and Atmosphere/Ocean Science

Atmospheric dynamics, climate variability, stochastic modeling

**Pierre Germain
**Associate Professor of Mathematics

Partial differential equations (in particular fluid mechanics and nonlinear waves) and harmonic analysis

**Dimitris Giannakis**
Assistant Professor of Mathematics

Atmosphere ocean science, geometric data analysis, uncertainty quantification

**Benjamin F.
Goldberg
**Associate Professor of Computer Science

Design and implementation of programming languages; compiler optimizations; memory management.

**Jonathan B. Goodman
** Professor of Mathematics

Fluid dynamics; computational physics; partial differential equations

**Allan Gottlieb
**Professor of Computer Science

Parallel computing; computer architecture; operating systems; distributed systems; free software.

**Leslie Greengard
**Silver Professor of Mathematics and Computer Science

Applied and computational math, partial differential equations, computational chemistry, mathematical biology.

**Frederick P.
Greenleaf
**Professor of Mathematics

Functional analysis; Lie groups; invariant partial differential equations

**Ralph Grishman**

Professor of Computer Science

Natural language processing.

**Mikhael Gromov**

Jay Gould Professor of Mathematics

Riemann manifolds; symplectic manifolds; infinite groups

**C. Sinan Gunturk**

Professor of Mathematics

Harmonic Analysis; wavelets and approximation theory

**Eliezer
Hameiri
**Professor of Mathematics

Magneto-fluid dynamics; plasma physics; applied mathematics

**Fengbo Hang
**Associate Professor of Mathematics

Classical and geometric analysis and their applications

**Zaid Harchaoui**

Visiting Assistant Professor of Computer Science

**David Holland
** Professor of Mathematics and Atmosphere/Ocean Science

Ocean modeling and circulation theory; ocean-climate interactions

**Miranda Holmes-Cerfon
**Assistant Professor of Mathematics

Applied math, mesoscale physics, ocean dynamics, stochastic methods.

**Nathan Hull
**Clinical Associate Professor of Computer Science

Programming languages

**Christopher Jankowski**

Clinical Assistant Professor of Mathematics

Operator Algebras

**Selin Kalaycioglu**

Clinical Associate Professor of Mathematics

Computational group theory, representation theory of finite groups,
mathematics education

**Craig Kapp**

Clinical Assistant Professor of Computer Science

Augmented reality and adaptive technlogies for people with disabilities.

**Zvi M. Kedem
**Professor of Computer Science

Algorithmic techniques for designing computer-based systems.

**Subhash Khot**

Silver Professor of Computer Science

Algorithms; computational complexity; computational intractability

**Richard Kleeman**

Professor of Mathematics and Atmosphere/Ocean Science

Climate dynamics; El Niño; predictability of weather and climate
dynamical systems

**Bruce Kleiner**

Professor of Mathematics

Geometric analysis, geometric group theory, and geometric evolution
equations.

**Joanna Klukowska**

Clinical Assistant Professor of Computer Science

**Robert V. Kohn
**Professor of Mathematics

Elasticity; composite materials; optimal control; formation of singularities

**Petter Kolm
**Clinical Professor of Mathematics

**Evan Korth
**Clinical Professor of Computer Science

**Yann LeCun
**Silver Professor of Computer Science

Machine learning; data mining; computer vision; robotics; data compression; document understanding; digital libraries.

**Matthew Leingang
** Clinical Professor of Mathematics

Mathematics Education, Web Pedagogies, Differential Geometry

**Jinyang Li**

Associate Professor of Computer Science

Operating systems; distributed systems; informational retrival;
wireless networks

**Fang-Hua Lin
**Silver Professor of Mathematics

Partial differential equations; geometric measure theory

**Eyal Lubetzky**

Associate Professor of Mathematics

Probability theory and combinatorics

**Andrew J. Majda
**Professor of Mathematics and The Samuel F. B. Morse Professor
of Arts and Science

Modern applied mathematics; atmosphere/ocean science; turbulence; statisticalphysics

**Trushant Majmudar
**Clinical Assistant Professor of Mathematics

**Sophie Marques
**Clinical Assistant Professor of Mathematics

**Nader Masmoudi
**Professor of Mathematics

Nonlinear partial differential equations

**Henry P. McKean
**Silver Professor of Mathematics

Partial differential equations; Riemann surfaces; probability

**David W. McLaughlin
**Silver Professor of Mathematics and Neural Science; Provost, NYU

Applied mathematics; nonlinear wave equations; visual neuroscience

**Adam Meyers**

Visiting Clinical Associate Professor

Natural Language Processing, Linguistics

**Bhubaneswar Mishra
** Professor of Computer Science and Mathematics

Bioinformatics; algorithmic algebra; robotics; computational biology; computational finance.

**Alex Mogilner**

Professor of Mathematics and Biology

Computational Biology, Cell Biophysics and Mathematical Biology

**Mehryar Mohri
** Professor of Computer Science

Machine learning; computational biology; text and speech processing; algorithms; theory.

**Chiranjib Mukherjee**

Visiting Assistant Professor of Mathematics

**Michael Munn**

Clinical Assistant Professor of Mathematics

Geometric analysis; metric geometry

**Charles M. Newman
**Silver Professor of Mathematics

Statistical physics; probability theory; evolutionary biology

**Sana Odeh
**Clinical Associate Professor of Computer Science

**Michael O'Neil**

Assistant Professor of Mathematics

(joint appointment with NYU Tandon School
of Engineering)

Electromagnetics, acoustics, fluid dynamics, fast algorithms, integral
equations and computational statistics

**Michael L. Overton
**Professor of Computer Science and Mathematics

Numerical analysis; linear algebra; optimization; mathematical programming.

**Olivier
Pauluis**

Professor of Mathematics and Atmosphere/Ocean Science

**Jerome K. Percus
** Professor of Mathematics and Physics

Chemical physics; mathematical biology; medical statistics, computer architecture

**Kenneth Perlin
**Professor of Computer Science

Computer graphics; simulation; computer/human interface; multimedia; animation.

**Charles S. Peskin
**Silver Professor of Mathematics and Neural Science

Cardiac fluid dynamics; biomolecular motors; neuroscience

**Alena Pirutka**

Assistant Professor of Mathematics

Arithmetic and algebraic geometry; number theory

**Adi Rangan**

Associate Professor of Mathematics

Computational neuroscience; computational biology; numerical analysis

**Ted Rappaport**

Professor of Computer Science

Professor of Electrical and Computer Engineering

(joint appointment with NYU Tandon and
the NYU School of Medicine)

**Oded Regev**

Professor of Computer Science

Theoretical computer science; lattice-based cryptography; quantum computation

**John
Rinzel
**Professor of Neural Science and Mathematics

Computational neuroscience; nonlinear dynamics of neural circuits; sensory processing

**Leif Ristroph
**Assistant Professor of Mathematics

Fluid dynamics, non-linear dynamics, experimental physics, biophysics, and geophysics.

**Sylvia Serfaty
**Global Distinguished Professor of Mathematics

Partial differential equations

**Dennis E. Shasha
**Professor of Computer Science

Pattern discovery and combinatorial design for biology; software for searching databases of trees and graphs; design of large database systems; data mining in financial and biological databases; cryptographic file systems, puzzles, and recreational mathematics.

**Jalal M. I. Shatah
**Professor of Mathematics

Partial differential equations; analysis

**Michael J. Shelley
**Professor of Mathematics, Neural Science, and Mechanical Engineering, and the Lilian and
George Lyttle Professor of Applied Mathematics

Mathematical modeling and simulation, complex and active fluids and materials, fluid-structure interactions, cellular biophysics.

**Randy Shepherd**

Clinical Assistant Professor of Computer Science

**Victor Shoup
**Professor of Computer Science

Cryptography; algorithms.

**Alan R. Siegel
**Associate Professor of Computer Science

VLSI design; analysis of algorithms; lower bounds; parallel algorithms; probability and combinatorial geometry.

**K. Shafer Smith**

Associate Professor of Mathematics and Atmosphere/Ocean Science

Geophysical turbulence; theoretical physical oceanography

**Mutiara Sondjaja**

Clinical Assistant Professor of Mathematics

Optimization; interior-point methods; operations research

**David Sontag**

Assistant Professor of Computer Science

Machine learning, Probabilistic inference in graphical models, Medical
informatics, Information retrieval

**Joel H. Spencer
**Professor of Mathematics and Computer Science

Theoretical computer science; discrete mathematics.

**K. R. Sreenivasan
**Professor of Physics and Mathematics; Executive Vice Provost for Engineering and Applied Sciences, NYU

Turbulence, complex fluids, cryogenic helium and nonlinear dynamics.

**Georg Stadler**

Associate Professor of Mathematics

Parallel scientific computing; inverse problems; PDE-constrained
optimization; variational inequalities; computational earth sciences.

**Daniel Stein
**Professor of Mathematics and Physics

Theoretical Condensed Matter Physics; Statistical Mechanics; Mathematical Physics

**Elizabeth Stepp
**Clinical Assistant Professor of Mathematics

**Lakshminarayanan Subramanian**

Associate Professor of Computer Science

Networks; distributed systems; security; overlay networks; wireless
networks; computer science technologies for health care with specific
emphasis on developing countries.

**Esteban G. Tabak**

Professor of Mathematics

Geophysical fluid dynamics; conservation laws

**Daniel A. Tranchina
**Professor of Biology, Mathematics, and Neural Science

Vision; neural coding; mathematical modeling

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

**Yuri Tschinkel**

Professor of Mathematics

Algebraic geometry; algebra

**Eric Vanden-Eijnden**

Professor of Mathematics

Applied mathematics; stochastic processes; statistical physics

**S. R. Srinivasa Varadhan
**Professor of Mathematics and the Frank Jay Gould Professor of Science

Probability theory; stochastic processes; partial differential equations

**Joseph Versoza **

Clinical Assistant Professor of Computer Science

**Michael Walfish
**Associate Professor of Computer Science

Systems, security and networking

**Olof B. Widlund**

Silver Professor of Computer Science and Mathematics

Numerical analysis; partial differential equations; parallel computing,
continuum mechanics

**Thomas Wies**

Assistant Professor of Computer Science

Program analysis and verification; automated deduction; concurrent software;
software productivity

**Margaret H. Wright**

Silver Professor of Computer Science and Mathematics

Optimization; scientific computing; linear algebra.

**Chee K. Yap**

Professor of Computer Science

Computational geometry; computer algebra; visualization; algorithmic
robotics; complexity theory; numerical robustness issues and exact
computation.

**Lai-Sang Young**

Silver Professor of Mathematics and the Henry & Lucy Moses
Professor of Science

Dynamical systems and ergodic theory

**Robert Young**

Associate Professor of Mathematics

Geometric group theory, metric geometry, and quantitative geometry

**Drew Youngren**

Clinical Assistant Professor of Mathematics

Microlocal analysis, partial differential equations

**Ofer Zeitouni
**Global Distinguished Professor of Mathematics

**Jun Zhang**

Professor of Physics and Mathematics

Experimental physics; fluid dynamics

**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.

**Mohamed Zahran**

Clinical Associate Professor of Computer Science

Computer architecture; hardware/software interaction; parallel computing

# Research Faculty

**David McQueen**

Research Professor of Mathematics

Cardiac fluid dynamics

**Satoshi Sekine**

Research Associate Professor of Computer Science

Natural language processing; parsing; sublanguage study

**Associated and Affiliated Faculty**

**Nathaniel Daw**

Assistant Professor of Neural Science and Psychology

**Kit Fine**

Silver Professor of Philosophy and Mathematics

**Juliana Freire**

Professor of Computer Science and Engineering

**Paul M. Horn**

Distinguished Scientist in Residence

**Panagiotis Ipeirotis**

Assistant Professor of Information, Operations and Management Sciences

**Natalie
Jeremijenko**

Assistant Professor of Art and Art Professions

**Alexander Jones**

Professor of the History of the Exact Sciences in Antiquity and Mathematics

**Yuval Kluger**

Assistant Professor of Cell Biology

**Brandon Laflen**

Assistant Professor of Otolaryngology and Physiology and Neuroscience

**Panayotis
Mavromatis**

Assistant Professor of Music and Music Education

**Nasir Memon**

Professor of Computer Science

**Helen Nissenbaum
**Associate Professor Culture and Communication, Computer Science.

**Efe A. Ok**

Professor of Economics and Mathematics

Decision theory, order theory, applied functional analysis

**David Pine**

Professor of Physics

**Foster Provost
**Associate Professor and NEC Faculty Fellow, Department of
Information, Operations and Management Sciences

**Keith Ross
**Leonard J. Shustek Professor of Computer Science and Engineering

**Tamar
Schlick**

Professor of Chemistry, Mathematics, and Computer Science

Mathematical biology; numerical analysis; computational chemistry

**Bob Shapley
**Professor of Neural Science and Mathematics

**Claudio Silva
**Professor of Computer Science and Engineering

**Eero P. Simoncelli
**Professor of Neural Science and Mathematics

Representation and processing of visual information in machines and humans

**Daniel Sodickson
**Associate Professor of Radiology, Physiology, and Neuroscience

**Alan Sokal**

Professor of Physics and Mathematics

Mathematical Physics; quantum field theory; statistical physics; computational physics

**Mark E. Tuckerman
**Associate Professor of Chemistry and Mathematics

Statistical mechanics; algorithms for molecular dynamics and electronic structure; computational chemistry

**Xiao-Jing Wang**
Professor of Neural Science and Mathematics

**Jiawei Zhang**

Assistant Professor of Information, Operations, & Management Sciences

# Professors Emeriti

**The professors emeriti of the Courant Institute are:**