Research Interests

Set theory, mathematical logic, concurrency (in Computer Science)

Research Interests

  • Quaternionic analysis. Function theory on Riemann surfaces. Linear system theory
  • Infinite dimensional analysis, Hida’s white noise space, Gaussian processes

Research Interests

Differential Equations, differential-functional and difference equations

Research Interests

number theory, arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, automorphic forms, algebraic cycles, algebraic K-theory.

Graduate Students

Research Interests

Knot Theory: Vassiliev invariants, Heegaard Floer and Khovanov homologies.

Symplectic geometry and low-dimensional topology.

Braid groups, mapping class groups and transformation groups of smooth manifolds: quasi- morphisms, norms.

Geometric group theory: quasi-isometric embeddings of finitely generated groups, bi-invariant word metrics.

Postdoctoral Fellows

Research Interests

Stochastic processes, characterization problems of statistics, theory of function spaces.

Research Interests

Differential equations, asymptotic theory of differential operators

Research Interests

Functional differential equations and their applications in spectral theory of Schroedinger operator, dynamical systems and probability theory.

Research Interests

Galois theory, field arithmetic, Galois cohomology, valuation theory

Research Interests

Operator theory, linear systems, optimal control

Research Interests

Functional analysis, geometry of Banach spaces, extremal structure of convex bodies, infinite-dimensional polytopes

Research Interests

Topological groups (general theory), abstract harmonic analysis, topological dynamics

Research Interests

Geometric groups theory, Locally compact groups and their lattices, Invariant random subgroups, Permutation groups, Expanding graphs.

Graduate Students

Research Interests

Automorphic representations and L-functions

Postdoctoral Fellows

Research Interests

Model theory and applications to algebra and geometry.

Research Interests

Operator algebras.

Postdoctoral Fellows

Graduate Students

Research Interests

Model theory and its interactions with other areas of mathematics, especially algebraic geometry, representation theory and differential equations.

Graduate Students

Research Interests

Singularities, Algebraic Geometry, Commutative Algebra

Postdoctoral Fellows

Research Interests

Set theory, mathematical logic, combinatorics.

Research Interests

Set theoretic topology, functional analysis, topological groups.

Research Interests

Topology, dimension theory, geometric topology, continuum theory

Postdoctoral Fellows

Research Interests

Theory of Lie algebras, constructive algebraic geometry, algorithmic problems in the theory of rings.

Research Interests

Functional-Differential and hybrid systems, control and optimization problems, neural networks, operator theory

Research Interests

Operator algebras

Research Interests

Semigroup theory, semigroup identities, completely o-simple semigroups, transformation semigroups, universal algebra

Research Interests

Ergodic theory and dynamical systems,  in particular symbolic dynamics and related aspects of probability theory. 

Postdoctoral Fellows

Research Interests

Representation theory.

Postdoctoral Fellows

Graduate Students

Research Interests

Function Theory, Differential equations, Number Theory

Research Interests

Algebraic geometry: polynomial automorphisms, geometric function theory, external problems in complex analysis.

Research Interests

Partial differential equations, geometric measure theory

Postdoctoral Fellows

Research Interests

Free boundary and variational problems, numerical methods, mathematical modeling, granular mechanics, applied super- conductivity

Research Interests

Theory of nonlinear transport processes in continuous media, specific interests: mass and momentum transfer in electrolyte solutions, synthetic ion-exchange membranes, reaction-diffusion, free boundary problems in heat and mass transfer.

Research Interests

Automorphic forms, Representation Theory, Harmonic analysis.

Research Interests

Finite group theory, finite geometries, combinatorial topology.

Research Interests

Computational and combinatorial geometry, sensor and wireless networks, online algorithms, discrete math.

Postdoctoral Fellows

Research Interests

Algebraic geometry, Tropical Geometry, Singularities

Postdoctoral Fellows

Research Interests

Geometric analysis: Sobolev spaces theory. Quasiconformal analysis. Geometric measure theory. Analysis on metric measure spaces.

Research Interests

Operator theory, system theory, algebraic geometry

Research Interests

Probability: random walks, interacting particle systems, discrete analysis. Geometric group theory: spaces of harmonic functions on groups, random walks on groups, boundaries.

Research Interests

Algebraic geometry, noncommutative algebra

Research Interests

Dualitative properties of partial differential equations. mathematical models of water disalination by electro-dialysis