2020-2022 Undergraduate and Graduate Bulletin (without addenda) 
    
    Mar 28, 2024  
2020-2022 Undergraduate and Graduate Bulletin (without 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.

Degrees Offered by the Mathematics Program  

Bachelor of Science

Master of Science

Contact

Department of Mathematics
NYU Tandon School of Engineering
2 MetroTech Center, 865
Brooklyn, NY 11201
Tel: (646) 997-3850
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

VICE-CHAIR FOR UNDERGRADUATE AFFAIRS AT CAS

Professor Matthew Leingang

VICE-CHAIR 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, ill-posed problems, scientific computing

Deift, Percy A.

Silver Professor of Mathematics

Spectral theory and inverse spectral theory, integrable systems, Riemann-Hilbert problems

Donev, Aleksandar

Associate Professor of Mathematics

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

Fernandez-Granda, 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

Ocean-ice studies, climate theory and modeling

Holmes-Cerfon, 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, Fang-Hua

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 semi-definite 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, non-linear dynamics, experimental physics, biophysics, and geophysics

Serfaty, Sylvia

Silver Professor of Mathematics

Nonlinear Partial Differential Equations, Ginzburg-Landau 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, PDE-constrained 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

Vanden-Eijnden, 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, Lai-Sang

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 tax-aware 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

Bio-fluid Dynamics, bio-locomotion, 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 q-Functions

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 K-theory

Sondjaja, Mutiara

 

 

 

Stepp, Elizabeth

Clinical Assistant Professor of Mathematics

Optimization; interior-point methods; operations research

 

Clinical Associate Professor of Mathematics

Point-Set 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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