Algebraic Geometry and Number Theory

Seminars

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

Basic Concepts in Modern Analysis and Geometric infinitesimal calculus 1
Prof. Fedor Pakovich

Function Theory, Differential equations, Number Theory

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

Noncommutative algebra
Dr. David Corwin

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

Theory of Numbers
Emeritus Prof Yoav Segev

Finite group theory, finite geometries, combinatorial topology.

Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

Dr. Daniel Disegni

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

Prof. Eitan Sayag

Automorphic forms, Representation Theory, Harmonic analysis.

Prof. Dmitry Kerner

Singularities, Algebraic Geometry, Commutative Algebra

Introduction to Differential Topology
Prof. Amnon Yekutieli

Algebraic geometry, noncommutative algebra

Prof. Nadya Gurevich

Automorphic representations and L-functions

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

Dr. Yotam Hendel
Introduction to Commutative Algebra
Prof. Amnon Besser

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

Dr. Ishai Dan-Cohen

Motives, p-adic periods, integral points.

Vector calculus for Electric Engineering and Algebraic Structures
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

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

Integral Transforms and Partial Differential Equations
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

Introduction to Differential Equations B
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.

Dr. Paz Hashash

Function spaces and geometric measure theory. In particular, I am interested in problems related to Besov spaces, Sobolev spaces, spaces of functions of bounded variation, and functions of bounded mean oscillation. Analytical and geometrical properties of such functions are my focus.

My homepage can be viewed through the link: https://sites.google.com/mail.huji.ac.il/paz-hashash-home-page/%D7%91%D7%99%D7%AA

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.

Seminars

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.

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.

Dr. Yaar Solomon

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

Linear algebra 1
Prof. Mikhail Muzychuk

Algebraic Graph Theory, Group Theory, Permutation Groups

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

Prof. Izhar Oppenheim

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

Introduction to Analysis

Dynamical systems and Ergodic theory

Seminars

Group Members

Name
Email
Research Interests
Courses
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
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)

Emeritus 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.

History of Mathematics
Prof. Izhar Oppenheim

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

Introduction to Analysis
Prof. Tom Meyerovitch

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

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

Basic Concepts in Modern Analysis and Geometric infinitesimal calculus 1
Prof. Ilan Hirshberg

Operator algebras.

Fundamentals of Measure Theory
Dr. Daniel Markiewicz

Operator algebras

Dr. Apurva Seth
Prof. Alexander Ukhlov

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

Introduction to Differential Equations C and Partial Differential Equations For Biotechnology
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

Dr. Eli Shamovich

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

Infinitesimal Calculus 1

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

Integral Transforms and Partial Differential Equations
Mr. Roman Panenko
Prof. Arkady Leiderman

Set theoretic topology, functional analysis, topological groups.

Prof. Alexander Ukhlov

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

Introduction to Differential Equations C and Partial Differential Equations For Biotechnology
Dr. Paz Hashash

Function spaces and geometric measure theory. In particular, I am interested in problems related to Besov spaces, Sobolev spaces, spaces of functions of bounded variation, and functions of bounded mean oscillation. Analytical and geometrical properties of such functions are my focus.

My homepage can be viewed through the link: https://sites.google.com/mail.huji.ac.il/paz-hashash-home-page/%D7%91%D7%99%D7%AA

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.

Basic Concepts in Topology and Geometry
Prof. Michael Levin

Topology, dimension theory, geometric topology, continuum theory

Prof. Ilya Tyomkin

Algebraic geometry, Tropical Geometry, Singularities

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.

Prof. Arkady Leiderman

Set theoretic topology, functional analysis, topological groups.

Prof. Assaf Hasson

Model theory and applications to algebra and geometry.

Dr. Yotam Hendel
Introduction to Commutative Algebra
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