Topics of interest include additive and analytic number theory, arithmetic algebraic geometry, automorphic forms, L-functions, cohomology of groups, representation theory of symmetric groups and related algebras.
Topics of interest include algebraic methods in combinatorics, graph theory, finite geometry, combinatorial designs and difference sets, rigidity of structures, as well as their applications in biology such as homology detection and gene duplication in comparative genomics.
Topics of interest include real and complex one-dimensional dynamics, complex dynamics in several variables, pluri-potential theory and applications in dynamics and related fields, dynamics of group actions on varieties, geometric structures of complex varieties equipped with automorphisms of positive entropy.
Topics of interest include algebraic geometry, complex geometry, geometric analysis, global differential geometry and mathematical physics, gauge theory, Higgs bundles, homotopy theory, knot theory, geometric structures on surfaces and three manifolds.
Topics of interest include set theory, set theoretic topology, recursion theory, models of Peano arithmetic, reverse mathematics, inductive inference, automata theory and formal languages, information theory and performance modeling.
Topics of interest include problems on conformal geometry and their applications to Riemannian geometry and mathematical physics; Boltzmann equation, conservation laws, turbulent flows and nonlinear reaction-diffusion equations.
Topics of interest include disordered systems such as random polymer models in random media, interacting particle systems, random matrices, Schramm-Loewner evolution, Stein's method, stochastic differential equations, and applications to computational biology and finance.
Topics of interest include classical analysis, differential equations, Sobolev spaces, Banach space theory, operator algebras, time-frequency analysis, nonstandard analysis and applications to economics.
Topics of interest include invariant theory, algebraic combinatorics, unitary representations, branching laws, theta correspondence, automorphic representations and L-functions.