**Andrew Casson**,

**Cambridge University, 1969. Royal Society Fellow.**Low-dimensional topology, four manifold theory, algebraic topology, hyperbolic geometry.

**Ronald Coifman**,

**Ph.D., Geneva, 1965. National Academy of Sciences, American Academy of Arts and Sciences. National Medal of Science.**Non-linear analysis, scattering theory, real and complex analysis, singular integrals, numerical analysis.

**Igor Frenkel**,

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

**Alexander Goncharov**,

**Ph.D., (USSR). European Mathematical Society Prize.**Arithmetic algebraic geometry, geometry, representation theory, mathematical physics and L-functions.

**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.

**Gregory Margulis**,

**Ph.D., Moscow, 1970. American Academy of Arts and Sciences. National Academy of Sciences. Fields Medal.**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.

**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.

**Vladimir Rokhlin**,

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

**Van Vu**,

**Ph.D., Yale, 1998. Polya Prize. Fulkerson Prize.**Additive number theory, analysis and combinatorics, probability, and random matrices.

**Gregg Zuckerman**,

**Ph.D., Princeton, 1975.**Representation theory, applications of Lie theory, mathematical physics.