Graduate Faculty and Their Research


Jeffrey Brock, Ph.D., U.C. Berkeley 1997. Guggenheim Fellow, AMS Fellow. Dean of the School of Engineering and Applied Science. Hyperbolic geometry, low dimensional topology, and applications.

Andrew Casson, Cambridge University, 1969. Royal Society Fellow. (Emeritus) Low-dimensional topology, four manifold theory, algebraic topology, hyperbolic geometry.

Ronald Coifman, Ph.D., Geneva, 1965. Philips Professor of Mathematics, National Academy of Sciences, American Academy of Arts and Sciences, National Medal of Science, Rolf Schock prize . Nonlinear analysis, Scattering theory, Real and complex analysis, Singular integrals, Numerical analysis, Harmonic analysis and Geometry in high dimension Data Analysis
Students: 
Ben Ekeroth

Igor Frenkel, Ph.D., Yale, 1980. American Academy of Arts and Sciences and National Academy of Sciences. Infinite-dimensional algebras, representation theory, applications of Lie theory, mathematical physics.

Anna Gilbert, Ph.D., Princeton, 1997. Analysis, probability, discrete mathematics, (randomized) algorithms with applications to harmonic analysis, signal and image processing, and massive datasets
Students: 
Joon-Hyeok Yim

Alexander Goncharov, Ph.D., (USSR) 1987. European Mathematical Society Prize. Arithmetic Algebraic Geometry: polylogarithms, zeta-functions, periods, Hodge theory, motives, motivic Galois groups, Quantum geometry of moduli spaces, Representation Theory and Mathematical Physics

Sebastian Hurtado - Salazar, Ph.D., University of California Berkeley, 2014. Dynamical systems and its applications to geometry and topology. Groups actions on manifolds. Discrete subgroups of Lie groups.

Peter Jones, Ph.D., UCLA, 1978. American Academy of Arts and Sciences. National Academy of Sciences. Salem Prize. Real, complex, and Fourier analysis, singular integrals, potential theory, dynamical systems.

Richard Kenyon, Ph.D., Princeton, 1990. Loeve Prize, Rollo Davidson Prize, American Academy of Arts and Sciences. Combinatorics, Discrete Geometry, Probability, Statistical Mechanics.
Students: 
Haolin Shi
Michele Tienni

Ivan Loseu, Ph.D., Moscow State University, 2007. Representation theory and its connections to Algebraic and Symplectic Geometry and to Combinatorics.
Students: 
Yaochen Wu
Do Kien Hoang
Mengwei Hu
Trung Vu

Gregory Margulis, Ph.D., Moscow, 1970. American Academy of Arts and Sciences. National Academy of Sciences. Fields Medal. Abel Prize. (Emeritus) Lie group theory, ergodic theory, number theory, network theory, and dynamics.

Yair Minsky, Ph.D., Princeton University, 1989. Kleinian groups, Teichmuller theory, geometric group theory, holomorphic dynamics, differential geometry.
Students: 
Fernando Al Assal - Website
Sung Jin Park

Vincent Moncrief, Ph.D., Maryland, 1972. Relativity, mathematical physics.

Andrew Neitzke, Ph.D., Harvard, 2005. Supersymmetric quantum field theory, string theory, enumerative geometry, hyperkahler geometry
Students: 
Danny Nackan

Hee Oh, Ph.D., Yale, 1997. Satter Prize. Homogeneous dynamics, discrete subgroups of Lie groups, Kleinian groups, hyperbolic geometry, and the resulting applications of number theory.
Students: 
Mikey Chow - Website
Elijah Fromm
Dongryul Kim - Website
Amy Wang

Vladimir Rokhlin, Ph.D., Rice, 1983. National Academy of Sciences. Numerical scattering theory, elliptic partial differential equations, numerical solution of integral equations.

Wilhelm Schlag, Ph.D., Caltech 1996. Philips Professor of Mathematics Spectral Theory, Partial differential evolution equations, harmonic analysis
Students: 
Tal Malinovitch - Website
Adam Black

John Schotland, M.D., Ph.D., University of Pennsylvania, 1996 Inverse problems, scattering theory, waves in random media, quantum optics.

Junliang Shen, Ph.D., ETH Zurich 2018. Algebraic geometry and its connections to topology, enumerative geometry, and mathematical physics.
Students: 
Weite Pi

Charles Smart, Ph.D., UC Berkeley 2010. Analysis, Mathematical Physics, and Probability.

Van Vu, Ph.D., Yale, 1998. Polya Prize. Fulkerson Prize. Combinatorics, probability, additive number theory, data science.
Students: 
Linh Tran
Phuc Tran

Lu Wang, Ph.D., MIT, 2011. Geometric analysis

Gregg Zuckerman, Ph.D., Princeton, 1975. (Emeritus) Representation theory, applications of Lie theory, mathematical physics.