Algebraic Geometry and Number Theory

Research Interests

Applied Probability, Combinatorial Optimization, Number Theory.

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

<p>Galois theory, field arithmetic, Galois cohomology, valuation theory</p>

Research Interests

<p>Automorphic representations and L-functions</p>

Research Interests

Model theory (a branch of mathematical logic), and its interactions with other areas of mathematics, especially algebraic geometry, representation theory and differential equations. I also like algebraic geometry in general, as well as category theory and related subjects.

Postdoctoral Fellows

Graduate Students

Research Interests

Singularities, Algebraic Geometry, Commutative Algebra

Research Interests

Function Theory, Differential equations, Number Theory

Research Interests

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

Research Interests

Automorphic forms, Representation Theory, Harmonic analysis.

Research Interests

Finite group theory, finite geometries, combinatorial topology.

Research Interests

<p>Algebraic geometry, Tropical Geometry, Singularities</p>

Research Interests

Operator theory, system theory, algebraic geometry

Postdoctoral Fellows

Research Interests

Algebraic geometry, noncommutative algebra

Applied Mathematics and Differential Equations

Research Interests

Differential Equations, differential-functional and difference equations

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

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

Research Interests

Partial differential equations, geometric measure theory

Graduate Students

Research Interests

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

Research Interests

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

Combinatorics and Discrete Mathematics

Research Interests

Applied Probability, Combinatorial Optimization, Number Theory.

Research Interests

Set theory, mathematical logic, combinatorics.

Research Interests

Geometric Group theory, Expander graphs and High Dimensional Expanders, Coarse geometry

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

Functional Analysis, Operator Theory and Operator Algebras

Research Interests

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

Research Interests

<p>Topological groups (general theory), abstract harmonic analysis, topological dynamics</p>

Research Interests

<p>Operator algebras.</p>

Graduate Students

Research Interests

Operator algebras

Research Interests

Partial differential equations, geometric measure theory

Graduate Students

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

Postdoctoral Fellows

Geometry and Topology

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.

Research Groups

Research Interests

Topology, dimension theory, geometric topology, continuum theory

Research Groups

Mathematical and Computational Logic

Research Interests

Model theory and applications to algebra and geometry.

Research Interests

Model theory (a branch of mathematical logic), and its interactions with other areas of mathematics, especially algebraic geometry, representation theory and differential equations. I also like algebraic geometry in general, as well as category theory and related subjects.

Postdoctoral Fellows

Graduate Students

Research Interests

Set theory, mathematical logic, combinatorics.

Research Interests

Set theoretic topology, functional analysis, topological groups.

Research Interests

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