Luis A. Caffarelli: partial differential equations
Nathan Dunfield: lowdimensional topology and geometry, connections to number theory
Benson Farb: geometry, topology, group theory
Charles Frohman: low dimensional topology
Cornelius Greither: algebraic number theory, commutative algebra
Jesper Grodal: algebraic topology and group theory
Michael Hopkins: algebraic topology
YiZhi Huang: infinitedimensional Lie algebras, vertex operator algebras, conformal field theory
Claude LeBrun: differential geometry
Naichung Conan Leung: differential geometry
Scott McCullough, functional analysis,
operator theory,
free convex semialgebraic geometry
Paul S. Muhly: functional analysis
Duong Phong: partial differential equations, harmonic analysis, and mathematical physics
Douglas C. Ravenel: algebraic topology and homotopy theory
Igor Rivin: geometry
Jonathan
M. Rosenberg: geometry and topology, noncommutative geometry, mathematical physics
Joseph Rosenblatt: harmonic analysis, ergodic theory, measure theory and functional analysis
Joseph H. Silverman: number theory, arithmetic geometry, arithmetic and padic dynamics
Birgit Speh: Lie groups and number theory
Mark Steinberger: group actions on manifolds
Laurence Taylor: manifolds, surgery theory
Brett D. Wick, Function theory, harmonic analysis, several complex variables, operator theory
