מחקר חברי הסגל

אלפבתי לפי קבוצת מחקר

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

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

Representation Theory: Lie algebras and superalgebras, representations of finite groups, tensor categories, representation stability, diagram categories, categorical actions

Galois theory, field arithmetic, Galois cohomology, valuation theory

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

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.

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

Automorphic representations and L-functions

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

Arithmetic geometry and ($p$-adic) $L$-functions

Motives, p-adic periods, integral points.

Operator algebras.

Random walks on groups, Geometric Group Theory, Ergodic Theory and Operator Algebras

Operator theory, system theory, algebraic geometry

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

Model theory and applications to algebra and geometry.

Algebraic geometry, Tropical Geometry, Singularities

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

Algebraic geometry, noncommutative algebra

Topology, dimension theory, geometric topology, continuum theory

Set theoretic topology, functional analysis, topological groups.

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

Algebraic Graph Theory, Group Theory, Permutation Groups

Operator algebras

Discrete Geometry, Combinatorics, Dynamical Systems, Ergodic Theory, Diophantine Approximations, Computational Geometry

Automorphic forms, Representation Theory, Harmonic analysis.

Partial differential equations, geometric measure theory

Function Theory, Differential equations, Number Theory

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

Differential equations, asymptotic theory of differential operators

Set theory, mathematical logic, combinatorics.

Arithmetic geometry: rational and integral points, motives, anabelian geometry

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.

Singularities, Algebraic Geometry, Commutative Algebra

operator algebras, noncommutative convexity, function theory, several complex variables, real and complex algebraic geometry