## Algebraic Geometry and Number Theory

### Group Members

Name
Email
Research Interests
Courses
Prof. Ruvim Lipyanski

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

Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Fundamentals of Measure Theory
Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Fourier analysis for Electrical Engineering, Noncommutative algebra and Infinitesimal Calculus 2
Dr. Eitan Bachmat
Prof. Fedor Pakovich

Function Theory, Differential equations, Number Theory

Theory of Numbers and Calculus 2 For Computer Science and Software Engineering
Prof. Amnon Yekutieli

Algebraic geometry, noncommutative algebra

Algebraic Geometry 1 and Introduction to Algebraic Geometry
Prof. Ronen Peretz

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

Emeritus Prof Miriam Cohen

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

Quantum Theory 2
Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Prof. Ido Efrat

Galois theory, field arithmetic, Galois cohomology, valuation theory

Algebra 1 for CS and Field Theory and Galois Theory
Dr. David Corwin

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

Selected Topics in Mathematics A, Selected Topics in Mathematics B, Basic Concepts in Topology and Geometry and Theory of Functions of a Complex Variable
Emeritus Prof Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Dr. Ishai Dan-Cohen

Vector calculus for Electric Engineering and Vector calculus for Electric Engineering
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

Linear Algebra ME and LIE ALGEBRAS AND THEIR REPRESENTATIONS
Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Algebraic Structures
Dr. Daniel Disegni

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

Geometric infinitesimal calculus 1
Dr. Inna Entova-Aizenbud

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

Linear algebra 2 and Lie Groups
Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Introduction to Commutative Algebra, Ordinary Differential Equations, Ordinary Differential Equations and Introduction to Complex Analysis
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 and Introduction to Logic and Set Theory

## 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.

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

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

Prof. Leonid Prigozhin

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

Partial differential equations, geometric measure theory

Integral Transforms and Partial Differential Equations
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.

Mr. Paz Hashash

Besov spaces, sobolev spaces.

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. 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

Prof. Boris Zaltzman

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

Calculus B1 and 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
Courses
Emeritus Prof Amos Altshuler

Combinatorial geometry, topological graph theory, convex polytopes

Prof. Michael Klin

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

Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Topology
Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Emeritus Prof Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Prof. Shakhar Smorodinsky

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

Discrete Mathematics for Communication Engineering and Discrete Geometry
Dr. Yaar Solomon

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

Linear algebra 1, Graph Theory and Linear Algebra for Electrical Engineering 2
Dr. Izhar Oppenheim

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

Introduction to Analysis and Calculus 1 for engineering
Dr. Inna Entova-Aizenbud

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

Linear algebra 2 and Lie Groups
Prof. Mikhail Muzychuk

Algebraic Graph Theory, Group Theory, Permutation Groups

Linear Algebra ME

## 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 Topological Dynamics, Algebra 2 for CS and Approximation Theory
Prof. Tom Meyerovitch

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

Probability
Dr. Tattwamasi Amrutam

I work in the intersection between group dynamics and operator algebras. Most of my PhD work was devoted to understanding the structure of the crossed product structure.

Here are some(or all) of my publications:

1. Generalized Powers’ averaging for Commutative crossed products., to appear in Transactions of the American Mathematical Society, preprint available at arXiv:2101.02853 ; (Joint with Dan Ursu).

2. On Intermediate C-subalgebras of C-simple Group Actions, International Mathematics Research Notices, Volume 2021, Issue 21, November 2021, Pages 16191–16202, https://doi.org/10.1093/imrn/rnz291, preprint available at arXiv:1811.11381.

3. On simplicity of intermediate C*-algebras, Ergodic Theory and Dynamical Systems, 40(12), 3181-3187. doi:10.1017/etds.2019.34 ; (Joint with Mehrdad Kalantar)

Dr. Yair Hartman

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

Dr. Yaar Solomon

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

Linear algebra 1, Graph Theory and Linear Algebra for Electrical Engineering 2
Dr. Izhar Oppenheim

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

Introduction to Analysis and Calculus 1 for engineering

## Functional Analysis, Operator Theory and Operator Algebras

### Group Members

Name
Email
Research Interests
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 Gabriyelyan

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

Calculus 1 for Computer Science and Software Engineering
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

Fundamentals of Measure Theory
Dr. Motke Porat

Free Analysis, Operator Theory, Complex Analysis

Introduction to Linear Algebra C and Introduction to Discrete Mathematics
Dr. Eli Shamovich

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

Basic Concepts in Modern Analysis
Dr. Tattwamasi Amrutam

I work in the intersection between group dynamics and operator algebras. Most of my PhD work was devoted to understanding the structure of the crossed product structure.

Here are some(or all) of my publications:

1. Generalized Powers’ averaging for Commutative crossed products., to appear in Transactions of the American Mathematical Society, preprint available at arXiv:2101.02853 ; (Joint with Dan Ursu).

2. On Intermediate C-subalgebras of C-simple Group Actions, International Mathematics Research Notices, Volume 2021, Issue 21, November 2021, Pages 16191–16202, https://doi.org/10.1093/imrn/rnz291, preprint available at arXiv:1811.11381.

3. On simplicity of intermediate C*-algebras, Ergodic Theory and Dynamical Systems, 40(12), 3181-3187. doi:10.1017/etds.2019.34 ; (Joint with Mehrdad Kalantar)

Dr. Daniel Markiewicz

Operator algebras

Prof. Ilan Hirshberg

Operator algebras.

Infinitesimal Calculus 1 and Probability 1 for statisticians
Prof. Alexander Ukhlov

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

## Geometric Analysis and PDE

### Group Members

Name
Email
Research Interests
Courses
Prof. Alexander Ukhlov

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

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
Mr. Paz Hashash

Besov spaces, sobolev spaces.

Mr. Roman Panenko

Set theoretic topology, functional analysis, topological groups.

Fundamentals of Analysis for EE - part I, Fundamentals of Analysis for EE - part I and Differential Calculus for EE

## 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.

Differential Calculus for EE
Prof. Michael Levin

Topology, dimension theory, geometric topology, continuum theory

Geometric infinitesimal calculus 2 and Differential and Integral Calculus ME2
Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Algebraic Structures

## 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)

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.

Mayer Goldberg
Prof. Michael Codish
Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Topology

Set theoretic topology, functional analysis, topological groups.

Fundamentals of Analysis for EE - part I, Fundamentals of Analysis for EE - part I and Differential Calculus for EE
Prof. Assaf Hasson

Model theory and applications to algebra and geometry.

Introduction to Set Theory
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 and Introduction to Logic and Set Theory