## Algebraic Geometry and Number Theory

### Seminars

• the "AGNT" seminar

### Group Members

Name
Email
Research Interests
Courses
Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Basic Concepts in Topology and Geometry and Geometric infinitesimal calculus 2
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

Basic Concepts in Modern Analysis and Fourier analysis and orthonormal systems for physics
Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Introduction to Commutative 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

Homological Algebra and Commutative Algebra
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.

Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Prof. Ido Efrat

Galois theory, field arithmetic, Galois cohomology, valuation theory

Coding Theory and Algebra 1 for CS
Dr. David Corwin

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

Field Theory and Galois Theory
Emeritus Prof Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Dr. Ishai Dan-Cohen

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

Approximation Theory

Automorphic representations and L-functions

Linear Algebra ME
Dr. Daniel Disegni

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

Riemann Surfaces and Arithmetic
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.

Model theory and applications
Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Algebraic Structures and Linear algebra 1
Dr. Inna Entova-Aizenbud

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

Introduction to representation theory of groups

## Applied Mathematics and Differential Equations

### Group Members

Name
Email
Research Interests
Courses
Prof. Leonid Berezansky

Differential Equations, differential-functional and difference equations

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. 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 and Introduction to Differential Equations B
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.

Mr. Paz Hashash

Besov spaces, sobolev spaces.

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

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.

Prof. Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

Emeritus 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
Prof. Shakhar Smorodinsky

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

Graph Theory and Discrete Mathematics for Communication Engineering
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

Introduction to representation theory of groups

## 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
Dr. Izhar Oppenheim

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

Introduction to Analysis and Expander graphs and expansion in groups
Mr. Bashir abu Khalil

מתמטיקה כללית

Dr. Yaar Solomon

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

Discrete Mathematics
Dr. Yair Hartman

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

Proof writing workshop and Linear algebra 2
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)

Prof. Tom Meyerovitch

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

Calculus 1 for engineering and Introduction to Ergodic Theory

## 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. Daniel Markiewicz

Operator algebras

Geometric infinitesimal calculus 1
Dr. Saak Gabriyelyan

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

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 and Fourier analysis and orthonormal systems for physics
Dr. Eli Shamovich
Ordinary Differential Equations and Theory of Functions of a Complex Variable
Dr. Motke Porat

Free Analysis, Operator Theory, Complex Analysis

Prof. Alexander Ukhlov

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

Introduction to Differential Equations A and Introduction to Differential Equations C
Prof. Ilan Hirshberg

Operator algebras.

Fundamentals of Measure Theory and Fourier analysis for Electrical Engineering
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)

## 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 and Basic notions in geometry and topology 2
Prof. Michael Levin

Topology, dimension theory, geometric topology, continuum theory

Introduction to Topology

## 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

Introduction to Discrete Mathematics and Introduction to Discrete Mathematics
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.

Set theoretic topology, functional analysis, topological groups.

Fundamentals of Analysis for EE - part I
Prof. Assaf Hasson

Model theory and applications to algebra and geometry.

Logic, Introduction to Logic and Set Theory and 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.

Model theory and applications