## Algebraic Geometry and Number Theory

### Translation Missing: En.research.seminars

• the "AGNT" recurring seminar

### Group Members

Name
Email
Research Interests
Translation Missing: En.teaching.courses
Dr. Eitan Bachmat
Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Mathematical Statistics 1
Prof. Amnon Besser

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

Diffrential and Integral Calculus ME1, Noncommutative algebra and Solving Equations
Emeritus Prof Miriam Cohen

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

Dr. Ishai Dan-Cohen

Arithmetic Methods in Cryptography
Dr. Daniel Disegni

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

Elliptic curves and modular forms
Prof. Ido Efrat

Galois theory, field arithmetic, Galois cohomology, valuation theory

Theory of Numbers and Field Theory and Galois Theory
Dr. Inna Entova-Aizenbud

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

Infinitesimal Calculus 1

Automorphic representations and L-functions

Linear Algebra ME and Theory of Functions of a Complex Variable
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.

Logic
Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Basic Concepts in Topology and Geometry
Dr. Ruvim Lipyanski

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

Prof. Uri Onn
Prof. Fedor Pakovich

Function Theory, Differential equations, Number Theory

Calculus 1 for Computer Science and Software Engineering and Introduction to Complex Dynamics
Prof. Ronen Peretz

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

Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Fourier Analysis
Prof. Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Algebraic Structures
Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Vector calculus for Electric Engineering and Introduction to Commutative Algebra
Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Infinitesimal Calculus 3 and Fourier analysis and orthonormal systems for physics
Prof. Amnon Yekutieli

Algebraic geometry, noncommutative algebra

Algebraic Geometry - Schemes (1) and Algebraic Geometry - Schemes - 2

## Applied Mathematics and Differential Equations

### Group Members

Name
Email
Research Interests
Translation Missing: En.teaching.courses
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.

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.

Prof. Leonid Berezansky

Differential Equations, differential-functional and difference equations

Dr. Nina Chernyavskaya

Differential equations, asymptotic theory of differential operators

Differential and Integral Calculus for Information Systems
Prof. Gregory Derfel

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

Introduction to Linear Algebra A
Dr. Chen Dubi
Prof. Michael Gil

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

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

Dr. Elena Litsyn

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

Partial differential equations, geometric measure theory

Prof. Leonid Prigozhin

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

Calculus B1
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

Partial Differential Equations

## 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
Translation Missing: En.teaching.courses
Emeritus Prof Amos Altshuler

Combinatorial geometry, topological graph theory, convex polytopes

Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Mathematical Statistics 1
Dr. Inna Entova-Aizenbud

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

Infinitesimal Calculus 1
Prof. Michael Klin

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

Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Logic and Set Theory and Axiomatic Set Theory 1
Dr. Izhar Oppenheim

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

Fundamentals of Measure Theory and Expander graphs and group theory
Prof. Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Algebraic Structures

Enumerative combinatorics with applications in number theory, applied coding theory

Prof. Shakhar Smorodinsky

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

Graph Theory
Dr. Yaar Solomon

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

Linear Algebra for physics students

## Dynamical systems and Ergodic theory

### Group Members

Name
Email
Research Interests
Translation Missing: En.teaching.courses
Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Mathematical Statistics 1
Prof. Yair Glasner

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

Ordinary Differential Equations and Topological Dynamics
Dr. Yair Hartman

Ergodic Theory, Random walks on groups, 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

Fundamentals of Measure Theory and Expander graphs and group theory
Dr. Yaar Solomon

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

Linear Algebra for physics students

## Functional Analysis, Operator Theory and Operator Algebras

### Group Members

Name
Email
Research Interests
Translation Missing: En.teaching.courses
Emeritus Prof Avraham Feintuch

Operator theory, linear systems, optimal control

Emeritus Prof Paul Fuhrmann

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

Dr. Saak Gabrielyan

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

Introduction to Differential Equations C
Prof. Ilan Hirshberg

Operator algebras.

Basic Concepts in Modern Analysis and Fourier Analysis for Electrical Engineering
Dr. Daniel Markiewicz

Operator algebras

Emeritus Prof Alexander Markus

Operator theory, functional analysis, matrix theory.

Partial differential equations, geometric measure theory

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

Dr. Alexander Ukhlov

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

Introduction to Differential Equations A
Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Infinitesimal Calculus 3 and Fourier analysis and orthonormal systems for physics

## Geometry and Topology

### Group Members

Name
Email
Research Interests
Translation Missing: En.teaching.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.

Differential Calculus for EE
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
Translation Missing: En.teaching.courses
Emeritus Prof Uri Abraham

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

Prof. Michael Codish
Mayer Goldberg
Dr. Assaf Hasson

Model theory and applications to algebra and geometry.

Linear Algebra for Communication Engineering and Introduction to Topology
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.

Logic
Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Logic and Set Theory and Axiomatic Set Theory 1