## Algebraic Geometry and Number Theory

### Group Members

Name
Email
Research Interests
Courses
Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Basic Concepts in Topology and Geometry
Dr. Moshe Kamensky

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.

Prof. Uri Onn
Prof. Ruvim Lipyanski

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

Prof. Ido Efrat

Galois theory, field arithmetic, Galois cohomology, valuation theory

Dr. Karl Christ
Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Introduction to Commutative Algebra
Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Basic Concepts in Modern Analysis
Dr. Eitan Bachmat
Prof. Amnon Yekutieli

Algebraic geometry, noncommutative algebra

Homological Algebra
Prof. Fedor Pakovich

Function Theory, Differential equations, Number Theory

Theory of Numbers
Prof. Ronen Peretz

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

Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Emeritus Prof Miriam Cohen

Non-commutative ring theory, Hopf algebras and their actions, Lie super algebras, non-commutative Galois theory.

Prof. Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Algebraic Structures
Dr. Ishai Dan-Cohen

Prof. Amnon Besser

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

Automorphic representations and L-functions

Dr. Inna Entova-Aizenbud

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

Dr. Daniel Disegni

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

Riemann Surfaces and Arithmetic

## Applied Mathematics and Differential Equations

### Group Members

Name
Email
Research Interests
Courses
Emeritus Prof Genrich Belitskii

Local and global invariants of dynamic systems, formal normal forms of dynamic systems and formal maps, local classifications of singularities, solvability of differential and functional equations on smooth manifolds, finite dimensional linear analysis, infinite dimensional nonlinear analysis.

Emeritus Prof Leonid Berezansky

Differential Equations, differential-functional and difference equations

Prof. Michael Gil

Partial and ordinary differential Equations, intergral differential equations, stability of oscillatory systems, control systems

Dr. Elena Litsyn

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

Functional analysis: Sobolev spaces, global analysis: analysis on manifolds and L2-cohomology, geometrical theory of functions: quasi-conformal mappings, chemical engineering science.

Partial differential equations, geometric measure theory

Integral Transforms and Partial Differential Equations
Prof. Leonid Prigozhin

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

Prof. Mark Ayzenberg-Stepanenko

Unsteady-state problems of mathematical physics, mathematical modelling of wave and fracture propagation in solids and structures, dynamic strength and stability of composites under impact. Mathematical models of penetration processes and protective structure optimal design.

Prof. Yitzchak Rubinstein

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.

Prof. Boris Zaltzman

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

Mr. Paz Hashash

Besov spaces, sobolev spaces.

Dr. Chen Dubi
Prof. Gregory Derfel

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

Prof. Nina Chernyavskaya

Differential equations, asymptotic theory of differential operators

## Combinatorics and Discrete Mathematics

The members of the research group in Combinatorics and Discrete Mathematics (CDM, for short) conduct research in the areas of graph theory, algebraic combinatorics, discrete geometry, combinatorial optimization and other fields of discrete mathematics.

A seminar in Algebraic Combinatorics is working since Fall 1995 with a special emphasis on promoting students’ interests in CDM.

The CDM group includes people whose interests permanently lie in the area as well as those whose combinatorial activities are sporadic.

### Group Members

Name
Email
Research Interests
Courses

Enumerative combinatorics with applications in number theory, applied coding theory

Emeritus Prof Amos Altshuler

Combinatorial geometry, topological graph theory, convex polytopes

Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Prof. Michael Klin

Finite permutation groups, algebraic combinatorics, graph theory, mathematical chemistry

Prof. Shakhar Smorodinsky

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

Prof. Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Dr. Izhar Oppenheim

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

Introduction to Analysis and Expander graphs and expansion in groups
Dr. Yaar Solomon

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

Discrete Mathematics
Dr. Inna Entova-Aizenbud

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

## Dynamical systems and Ergodic theory

### Group Members

Name
Email
Research Interests
Courses
Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Prof. Yair Glasner

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

Introduction to Geometric Group Theory
Prof. Tom Meyerovitch

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

Dr. Izhar Oppenheim

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

Introduction to Analysis and Expander graphs and expansion in groups
Dr. Yaar Solomon

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

Discrete Mathematics
Mr. Bashir abu Khalil

מתמטיקה כללית

Dr. Yair Hartman

Ergodic Theory, Random walks on groups, Geometric Group Theory.

## Functional Analysis, Operator Theory and Operator Algebras

### Group Members

Name
Email
Research Interests
Courses
Emeritus Prof Paul Fuhrmann

Systems and control theory, operator theory in Hilbert spaces, module theory and linear algebra

Emeritus Prof Avraham Feintuch

Operator theory, linear systems, optimal control

Dr. Daniel Markiewicz

Operator algebras

Geometric infinitesimal calculus 1
Dr. Saak Gabriyelyan

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

Partial differential equations, geometric measure theory

Integral Transforms and Partial Differential Equations
Emeritus Prof Alexander Markus

Operator theory, functional analysis, matrix theory.

Complex analysis, spectral theory of differential operators, functional equations.

Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Basic Concepts in Modern Analysis
Dr. Eli Shamovich
Dr. Motke Porat

Free Analysis, Operator Theory, Complex Analysis

Dr. Andrea Vaccaro
Prof. Alexander Ukhlov

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

Prof. Ilan Hirshberg

Operator algebras.

Fundamentals of Measure Theory

## Geometry and Topology

### Group Members

Name
Email
Research Interests
Courses
Dr. Michael Brandenbursky

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.

Prof. Michael Levin

Topology, dimension theory, geometric topology, continuum theory

## Mathematical and Computational Logic

The mathematical and computational logic group at BGU conducts research in set theory, model theory, general topology, Boolean algebras and, in theoretical computer science, concurrency, logic programming and lambda calculus.

### Group Members

Name
Email
Research Interests
Courses
Emeritus Prof Uri Abraham

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

Dr. Moshe Kamensky

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.

Prof. Gregory Mashevitsky

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

Prof. Ruvim Lipyanski

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

Prof. Michael Codish
Mayer Goldberg
Dr. Eliana Barriga
Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Prof. Assaf Hasson

Model theory and applications to algebra and geometry.

Logic and Introduction to Logic and Set Theory