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
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.
Students:
Vladyslav Zveryk - Website
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.
Students:
Ethan Cohen
Gal Yehuda - Website
Peter Jones, Ph.D., UCLA, 1978. American Academy of Arts and Sciences. National Academy of Sciences. Salem Prize. (Emeritus) 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:
Michele Tienni
Srivasta (Sri) Tata
Christina Meng
Ivan Loseu, Ph.D., Moscow State University, 2007. Representation theory and its connections to Algebraic geometry, Geometric representation theory
Students:
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:
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:
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:
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:
Xie Mengyi
Yutong Wu - Website
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:
Charles Smart, Ph.D., UC Berkeley 2010. Analysis, Mathematical Physics, and Probability.
Students:
Reuben Drogin
Ari Lerman
Nhung Pham
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.
Sam Raskin, Ph.D., Harvard, 2014. Algebra, Langlands duality, geometric representation theory, algebraic geometry, and homotopy theory.
Students: