Yuliy Baryshnikov: Dynamical systems and mathematical physics.

Partha Dey: Probability, mathematical physics, interacting particle systems.

Philippe Di Francesco: Mathematical physics, enumerative and algebraic mombinatorics,integrable models of statistical physics, cluster algebra, matrix models, and quantum (conformal) field theory.

Sheldon Katz: Algebraic geometry and its interaction with theoretical physics (especially string theories and supersymmetric field theories).

Kay Kirkpatrick: Mathematical physics, probability, PDE, statistical mechanics, nonlinear differential equations, and dynamical systems, using a variety of methods from probability, functional analysis, harmonic analysis, and number theory--with applications to physics and biology.