Yuliy Baryshnikov: Dynamical systems and mathematical physics.
Maarten Bergvelt: Vertex algebras, integrable systems, mathematical physics, and representation theory.
Karin A Dahmen: Non-equilibrium dynamical systems,condensed matter physics,mathematical physics, biophysics, and geophysics.
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).
Rinat Kedem: Combinatorial representation theory,mathematical physics,infinite dimensional algebras,quantum groups,cluster algebras,integrable models in statistical mechanics, and quantum field theory.
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.
Thomas Nevins: algebraic geometry, geometric representation theory, and mathematical physics.