20202022 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]
Department of Mathematics


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Chair: Bruce Kleiner
Mission Statement
The undergraduate division of the Department of Mathematics offers a wide variety of courses in pure and applied mathematics taught by a distinguished faculty with a tradition of excellence in teaching and research. Most of the faculty is associated with the University’s Courant Institute of Mathematical Sciences, noted for its advanced training and research programs.
The Department
The department offers BS and MS degrees in Mathematics, as well as a BS degree with a dual major in Mathematics and Physics . Both degrees provide a student with a solid basis for future studies in mathematics or careers that require mathematical skills.
Bachelor of Science
Master of Science
Contact
Department of Mathematics
NYU Tandon School of Engineering
2 MetroTech Center, 865
Brooklyn, NY 11201
Tel: (646) 9973850
Web: math.nyu.edu/tandon
Department Heads
DIRECTOR, COURANT INSTITUTE OF MATHEMATICAL SCIENCES
Professor Russel Caflisch
CHAIR OF THE DEPARTMENT
Professor Bruce Kleiner
DIRECTOR OF UNDERGRADUATE STUDIES
Professor Oliver Buhler
VICECHAIR FOR UNDERGRADUATE AFFAIRS AT CAS
Professor Matthew Leingang
VICECHAIR FOR UNDERGRADUATE AFFAIRS AT TANDON
Professor Elizabeth Stepp
Faculty
Armstrong, Scott

Associate Professor of Mathematics
Partial differential equations, probability theory, and stochastic homogenization

Avellaneda, Marco

Professor of Mathematics
Applied mathematics, mathematical modeling in finance, probability

Bakhtin, Yuri

Associate Professor of Mathematics
Random dynamics, probabilistic models of mathematical physics

Bandeira, Afonso S.

Assistant Professor of Mathematics
Applied mathematics, optimization, probability, information theory, signal processing, mathematics of data science

Ben Arous, Gérard

Professor of Mathematics
Probability theory, stochastic processes, partial differential equations

Berger, Marsha

Silver Professor of Computer Science and Mathematics
Computational fluid dynamics, adaptive methods for partial differential equations, parallel computing

Bogomolov, Fedor

Silver Professor of Mathematics
Algebraic geometry and related problems in algebra, topology, number theory

Bourgade, Paul

Associate Professor of Mathematics
Probability, random matrices, statistical physics and stochastic processes

Bühler, Oliver

Professor of Mathematics and Atmosphere/Ocean Science
Geophysical fluid dynamics, interactions between waves and vortices, acoustics, statistical mechanics

Caflisch, Russel

Professor of Mathematics; Director, Courant Institute
Applied math, PDEs, fluid dynamics, plasma physics, materials science, Monte Carlo methods, computational finance

Cappell, Sylvain E.

Silver Professor of Mathematics
Algebraic and geometric topology, symplectic and algebraic geometry

Cerfon, Antoine

Assistant Professor of Mathematics
Magnetohydrodynamics in fusion and astrophysical plasmas, nonneutral plasmas, kinetic theory in plasmas and rarefied gases

Cheeger, Jeff

Silver Professor of Mathematics
Differential geometry and its connections to analysis and topology

Chen, Yu

Associate Professor of Mathematics
Numerical scattering theory, illposed problems, scientific computing

Deift, Percy A.

Silver Professor of Mathematics
Spectral theory and inverse spectral theory, integrable systems, RiemannHilbert problems

Donev, Aleksandar

Associate Professor of Mathematics
Multiscale (hybrid) methods; fluctuating hydrodynamics; coarsegrained particle methods; jamming and packing

FernandezGranda, Carlos

Assistant Professor of Mathematics

Galichon, Alfred

Professor of Economics and Mathematics
Optimal transport, mathematical finance, economic equilibrium

Gerber, Edwin

Associate Professor of Mathematics and Atmosphere/Ocean Science
Atmospheric dynamics, climate variability, stochastic modeling

Germain, Pierre

Professor of Mathematics
Nonlinear partial differential equations, harmonic analysis

Giannakis, Dimitris

Assistant Professor of Mathematics
Atmosphere ocean science, geometric data analysis, uncertainty quantification

Goodman, Jonathan B.

Professor of Mathematics
Fluid dynamics, computational physics, computational finance

Greengard, Leslie

Silver Professor of Mathematics and Computer Science
Applied and computational math, partial differential equations, computational chemistry, mathematical biology

Gromov, Mikhael

Jay Gould Professor of Mathematics
Riemannian manifolds, symplectic manifolds, infinite groups, math models of biomolecular systems

Gunturk, C. Sinan

Professor of Mathematics
Harmonic analysis, information theory, signal processing

Hang, Fengbo

Associate Professor of Mathematics
Geometric analysis

Holland, David

Professor of Mathematics and Atmosphere/Ocean Science
Oceanice studies, climate theory and modeling

HolmesCerfon, Miranda

Assistant Professor of Mathematics
Materials science, statistical mechanics, stochastic methods, computational geometry

Kleeman, Richard

Professor of Mathematics and Atmosphere/Ocean Science
Climate dynamics, El Nino, predictability of weather and climate dynamical systems

Kleiner, Bruce

Professor of Mathematics
Geometric analysis, geometric group theory and geometric evolution equations

Kohn, Robert V.

Silver Professor of Mathematics
Nonlinear partial differential equations, materials science, mathematical finance

Lin, FangHua

Silver Professor of Mathematics
Partial differential equations, geometric measure theory

Lubetzky, Eyal

Professor of Mathematics
Probability theory and combinatorics

Lutwak, Erwin

Professor of Mathematics; Deputy Chair for Tandon
Convex geometry, geometric and analytic inequalities

Majda, Andrew J.

Professor of Mathematics and The Samuel F. B. Morse Professor of Arts and Science
Modern applied mathematics, atmosphere/ocean science, partial differential equations

Masmoudi, Nader

Professor of Mathematics
Nonlinear parallel differential equations

McKean, Henry P.

Silver Professor of Mathematics
Probability, partial differential equations, complex function theory

McLaughlin, David W.

Silver Professor of Mathematics and Neural Science
Applied mathematics, nonlinear wave equations, visual neural science

Miller, Edward

Professor of Mathematics
Differential topology

Mishra, Bhubaneswar

Professor of Computer Science and Mathematics
Robotics, genomics, finance, mathematical and theoretical computer science

Mogilner, Alex

Professor of Mathematics and Biology
Computational Biology, Cell Biophysics and Mathematical Biology

Newman, Charles M.

Silver Professor of Mathematics
Probability theory, statistical physics, stochastic models

O’Neil, Mike

Assistant Professor of Mathematics (joint appointment with NYU Tandon)
Electromagnetics, acoustics, fluid dynamics, fast algorithms, integral equations and computational statistics

Overton, Michael

Silver Professor of Computer Science and Mathematics
Numerical linear algebra, optimization, linear and semidefinite programming

Pauluis, Olivier

Professor of Mathematics and Atmosphere/Ocean Science
Climate and the general circulation of the atmosphere, moist convection, tropical meteorology, numerical modeling

Percus, Jerome K.

Professor of Mathematics and Physics
Chemical physics, mathematical biology

Peskin, Charles S.

Silver Professor of Mathematics and Neural Science
Applications of mathematics and computing to problems in medicine and biology, cardiac fluid dynamics, molecular machinery within biological cells, mathematical/computational neuroscience

Pirutka, Alena

Associate Professor of Mathematics
Arithmetic and algebraic geometry, number theory

Rangan, Aaditya

Associate Professor of Mathematics
Computational biology, numerical analysis

Rinzel, John

Professor of Neural Science and Mathematics
Computational neuroscience, nonlinear dynamics of neurons and neural circuits, sensory processing

Ristroph, Leif

Assistant Professor of Mathematics
Fluid dynamics, nonlinear dynamics, experimental physics, biophysics, and geophysics

Serfaty, Sylvia

Silver Professor of Mathematics
Nonlinear Partial Differential Equations, GinzburgLandau equations, and variational problems from material science

Shatah, Jalal M. I.

Professor of Mathematics
Partial differential equations, analysis

Shelley, Michael J.

Professor of Mathematics, Neural Science, and Mechanical Engineering, and the Lilian and George Lyttle Professor of Applied Mathematics
Applied math and modeling, visual neuroscience, fluid dynamics, computational physics and neuroscience

Smith, K. Shafer

Associate Professor of Mathematics and Atmosphere/Ocean Science
Geophysical fluid dynamics, physical oceanography and climate

Spencer, Joel H.

Silver Professor of Mathematics and Computer Science
Discrete mathematics, theoretical computer science.

Sreenivasan, Katepalli R.

Professor of Physics and Mathematics; Executive Vice Provost for Engineering and Applied Sciences, NYU
Turbulence, complex fluids, cryogenic helium and nonlinear dynamics

Stadler, Georg

Associate Professor of Mathematics
Parallel scientific computing, inverse problems, PDEconstrained optimization, variational inequalities, computational earth sciences

Stein, Daniel

Professor of Mathematics and Physics
Theoretical condensed matter physics, statistical mechanics, and mathematical physics

Tabak, Esteban G.

Professor of Mathematics
Dynamics of the atmosphere and ocean, energy transfer in systems with many degrees of freedom

Tranchina, Daniel A.

Professor of Biology, Mathematics, and Neural Science
Mathematical modeling in neuroscience

Trefethen, Nick

Global Distinguished Professor of Mathematics and Computer Science

Tschinkel, Yuri

Professor of Mathematics
Algebraic geometry, number theory, automorphic forms

VandenEijnden, Eric

Professor of Mathematics
Stochastic partial differential equations, statistical mechanics, turbulence theory

Varadhan, S. R. Srinivasa

Professor of Mathematics and the Frank Jay Gould Professor of Science
Probability theory, stochastic processes, partial differential equations

Wright, Margaret H.

Silver Professor of Computer Science and Mathematics
Optimization; scientific computing; linear algebra

Yang, Deane

Professor of Mathematics
Convex geometric analysis, Riemannian geometry, Partial differential equations

Yang, Yisong

Professor of Mathematics
Nonlinear Partial Differential Equations, Mathematical Physics, Applied Mathematics

Young, LaiSang

Silver Professor of Mathematics and the Henry & Lucy Moses Professor of Science
Dynamical systems and ergodic theory

Young, Robert

Associate Professor of Mathematics
Geometric group theory, metric geometry, and quantitative geometry

Zeitouni, Ofer

Global Distinguished Professor of Mathematics

Zhang, Gaoyong

Professor of Mathematics
Convex geometry, Geometric analysis

Zhang, Jun

Professor of Physics and Mathematics
Fluid dynamics, biophysics, complex systems

Zorin, Denis

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
Bhat, Vindya

Clinical Assistant Professor of Mathematics
Ramsey theory; combinatorics

Clarkson, Corrin

Clinical Assistant Professor of Mathematics

Hammoud, Naima

Clinical Assistant Professor of Mathematics

Kalaycioglu, Selin

Clinical Associate Professor of Mathematics
Computational group theory, representation theory of finite groups, mathematics education

Kolm, Petter N.

Clinical Professor of Mathematics
Data science, econometrics, financial mathematics, machine learning, market making, optimization, portfolio optimization, quantitative & systematic trading, risk management, robo advisory & investing, smart beta strategies, stochastic optimal control, transaction costs, and taxaware investing.

Leingang, Matthew
Liu, Shizhu

Clinical Professor of Mathematics
Mathematics Education, Web Pedagogies, Differential Geometry
Clinical Assistant Professor of Mathematics

Majmudar, Trushant

Clinical Assistant Professor of Mathematics
Biofluid Dynamics, biolocomotion, soft condensed matter

Manocha, Harvansh

Industry Professor of Mathematics, Courant Tandon
Special Functions of Mathematical Physics, Lie Theory and Special Functions, Fractional calculus, Quantum Algebras and qFunctions

Medina, Luciano

Lecturer, Courant Tandon

Oveys, Hesam

Clinical Assistant Professor of Mathematics
Stochastic processes, branching processes, mathematical biology, mathematical finance, and partial differential equations

Patel, Jigarkumar

Clinical Assistant Professor of Mathematics

Qian, Jinghua

Senior Lecturer, Courant Tandon; Director of Freshman Mathematics for Tandon
Probability and stochastic processes, statistics, analysis

Sia, Charmaine

Clinical Assistant Professor of Mathematics
Algebraic topology, homotopy theory, the theory of topological modular forms, structured ring spectra, forms of Ktheory

Sondjaja, Mutiara
Stepp, Elizabeth

Clinical Assistant Professor of Mathematics
Optimization; interiorpoint methods; operations research
Clinical Associate Professor of Mathematics
PointSet Topology; Continuum Theory

Van Wagenen, Lindsey

Senior Lecturer, Courant Tandon; Director of Sophomore Mathematics for Tandon
Dynamical systems, stochastic processes, nonlinear optics

Wielaard, James

Industry Associate Professor, Courant Tandon
Mathematical biology

Zhao, Fang

Lecturer, Courant Tandon; Director of Precalculus Mathematics for Tandon

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