Algebraic Geometry and Number Theory

Seminars

  • the "AGNT" seminar

Group Members

Name
Email
Research Interests
Courses
Prof. Ruvim Lipyanski

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

Dr. Eitan Bachmat
Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Prof. Fedor Pakovich

Function Theory, Differential equations, Number Theory

Calculus 2 For Computer Science and Software Engineering
Prof. Ronen Peretz

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

Prof. Ido Efrat

Galois theory, field arithmetic, Galois cohomology, valuation theory

Field Theory and Galois Theory
Dr. David Corwin

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

Theory of Functions of a Complex Variable, Theory of Functions of a Complex Variable and Introduction to Algebraic Geometry
Emeritus Prof Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Dr. Ishai Dan-Cohen

Motives, p-adic periods, integral points.

Vector calculus for Electric Engineering and Algebraic Topology
Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Field Theory and Galois Theory
Dr. Daniel Disegni

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

Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Ordinary Differential Equations, Ordinary Differential Equations, Introduction to Complex Analysis, Ordinary Differential Equations and Ordinary Differential Equations
Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Noncommutative algebra, Infinitesimal Calculus 2, Problem Solving, Linear algebra 2 and Problem Solving
Prof. Amnon Yekutieli

Algebraic geometry, noncommutative algebra

Introduction to Algebraic Geometry and Homological Algebra
Prof. Amnon Besser

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

Approximation Theory
Prof. Nadya Gurevich

Automorphic representations and L-functions

Theory of Numbers
Emeritus Prof Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

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
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.

Introduction to 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

Prof. Leonid Prigozhin

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

Emeritus Prof Vladimir Gol’dshtein

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

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. Arkady Poliakovsky

Partial differential equations, geometric measure theory

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
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.

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
Prof. Michael Klin

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

Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Topology and Introduction to Topology
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 Geometry
Dr. Yaar Solomon

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

Graph Theory and Linear Algebra for Electrical Engineering 2
Prof. Izhar Oppenheim

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

Prof. Mikhail Muzychuk

Algebraic Graph Theory, Group Theory, Permutation Groups

Linear Algebra ME
Emeritus Prof Amos Altshuler

Combinatorial geometry, topological graph theory, convex polytopes

Emeritus Prof Daniel Berend

Applied Probability, Combinatorial Optimization, Number Theory.

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

Dynamical systems and Ergodic theory

Group Members

Name
Email
Research Interests
Courses
Dr. Yair Hartman

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

Markov chains and Random walks and Ergodic Theory towards Szemerdi’s Theorem
Dr. Yaar Solomon

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

Graph Theory and Linear Algebra for Electrical Engineering 2
Prof. Izhar Oppenheim

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

Dr. Shrey Sanadhya

Ergodic theory, dynamical systems and related topics.

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. Yair Glasner

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

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. 

Emeritus Prof Daniel Berend

Applied Probability, Combinatorial Optimization, Number 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. 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.

Emeritus Prof Vadim Tkachenko

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

Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Dr. Apurva Seth
Prof. Ilan Hirshberg

Operator algebras.

Dr. Daniel Markiewicz

Operator algebras

Infinitesimal Calculus 2
Prof. Alexander Ukhlov

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

Introduction to Differential Equations B2
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. Motke Porat

Free Analysis, Operator Theory, Complex Analysis

Introduction to Discrete Mathematics and Fourier analysis for Electrical Engineering
Dr. Eli Shamovich

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

Geometric Analysis and PDE

Group Members

Name
Email
Research Interests
Courses
Emeritus Prof Vladimir Gol’dshtein

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

Prof. Arkady Poliakovsky

Partial differential equations, geometric measure theory

Mr. Roman Panenko
Prof. Arkady Leiderman

Set theoretic topology, functional analysis, topological groups.

Fundamentals of Analysis for EE - part I, Differential Calculus for EE and Fundamentals of Analysis for EE - part I
Mr. Paz Hashash

Besov spaces, sobolev spaces.

Prof. Alexander Ukhlov

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

Introduction to Differential Equations B2

Geometry and Topology

Group Members

Name
Email
Research Interests
Courses
Prof. 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

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

Algebraic geometry, Tropical Geometry, Singularities

Field Theory and Galois 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)

Prof. Ruvim Lipyanski

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

Prof. Gregory Mashevitsky

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

Mayer Goldberg
Prof. Michael Codish
Prof. Menachem Kojman

Set theory, mathematical logic, combinatorics.

Introduction to Topology and Introduction to Topology
Prof. Arkady Leiderman

Set theoretic topology, functional analysis, topological groups.

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

Introduction to Set Theory