# Faculty Research

## Algebraic Geometry and Number Theory

### Prof. Daniel Berend

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**PhD**: The Hebrew University of Jerusalem, 1982

#### Research Interests

Applied Probability, Combinatorial Optimization, Number Theory.

### Prof. Amnon Besser

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**PhD**: Tel Aviv University, 1993

#### Research Interests

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

#### Research Groups

#### Graduate Students

### Dr. Ishai Dan-Cohen

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**PhD**: UC Berkeley, 2009

#### Research Interests

Motives, p-adic periods, integral points.

#### Research Groups

### Prof. Ido Efrat

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**PhD**: Tel-Aviv University, 1990

#### Research Interests

<p>Galois theory, field arithmetic, Galois cohomology, valuation theory</p>

#### Research Groups

### Dr. Inna Entova-Aizenbud

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**PhD**: MIT, 2016

#### Research Interests

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

#### Postdoctoral Fellows

### Dr. Nadya Gurevich

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**PhD**: Weizman Institute, 2000

#### Research Interests

<p>Automorphic representations and L-functions</p>

#### Research Groups

### Dr. Moshe Kamensky

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**PhD**: The Hebrew University at Jerusalem, 2007

#### Research Interests

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.

#### Postdoctoral Fellows

#### Graduate Students

### Prof. Dmitry Kerner

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**PhD**: Tel Aviv University, 2007

#### Research Interests

Singularities, Algebraic Geometry, Commutative Algebra

#### Research Groups

### Prof. Fedor Pakovich

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**PhD**: Institut Fourier (Grenoble University), 1997

#### Research Interests

Function Theory, Differential equations, Number Theory

#### Research Groups

### Prof. Ronen Peretz

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**PhD**: Technion, 1989

#### Research Interests

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

#### Research Groups

### Prof. Eitan Sayag

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**PhD**: ,

#### Research Interests

Automorphic forms, Representation Theory, Harmonic analysis.

#### Research Groups

### Prof. Yoav Segev

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**PhD**: The Hebrew University at Jerusalem, 1985

#### Research Interests

Finite group theory, finite geometries, combinatorial topology.

### Prof. Ilya Tyomkin

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**PhD**: Tel Aviv University, 2004

#### Research Interests

Algebraic geometry, Tropical Geometry, Singularities

#### Research Groups

### Prof. Victor Vinnikov

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**PhD**: Ben-Gurion University, 1988

#### Research Interests

Operator theory, system theory, algebraic geometry

#### Research Groups

#### Postdoctoral Fellows

### Prof. Amnon Yekutieli

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**PhD**: MIT, 1990

#### Research Interests

Algebraic geometry, noncommutative algebra

#### Research Groups

## Applied Mathematics and Differential Equations

### Prof. Leonid Berezansky

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**PhD**: ,

#### Research Interests

Differential Equations, differential-functional and difference equations

#### Research Groups

### Dr. Nina Chernyavskaya

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**PhD**: Alma-Ata University, 1989

#### Research Interests

Differential equations, asymptotic theory of differential operators

#### Research Groups

### Prof. Gregory Derfel

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**PhD**: Tbilisi University, 1977

#### Research Interests

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

#### Research Groups

### Dr. Chen Dubi

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**PhD**: ,

#### Research Groups

### Dr. Elena Litsyn

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**PhD**: ,

#### Research Interests

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

#### Research Groups

### Prof. Arkady Poliakovsky

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**PhD**: ,

#### Research Interests

Partial differential equations, geometric measure theory

#### Research Groups

#### Graduate Students

### Prof. Leonid Prigozhin

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**PhD**: ,

#### Research Interests

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

#### Research Groups

### Prof. Boris Zaltzman

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**PhD**: ,

#### Research Interests

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

#### Research Groups

## Combinatorics and Discrete Mathematics

### Prof. Daniel Berend

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**PhD**: The Hebrew University of Jerusalem, 1982

#### Research Interests

Applied Probability, Combinatorial Optimization, Number Theory.

### Dr. Inna Entova-Aizenbud

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**PhD**: MIT, 2016

#### Research Interests

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

#### Postdoctoral Fellows

### Prof. Menachem Kojman

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**PhD**: The Hebrew University at Jerusalem, 1994

#### Research Interests

Set theory, mathematical logic, combinatorics.

### Dr. Izhar Oppenheim

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**PhD**: Technion, 2012

#### Research Interests

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

### Prof. Yoav Segev

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**PhD**: The Hebrew University at Jerusalem, 1985

#### Research Interests

Finite group theory, finite geometries, combinatorial topology.

### Prof. Shakhar Smorodinsky

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**PhD**: Tel Aviv University, 2003

#### Research Interests

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

#### Research Groups

#### Postdoctoral Fellows

### Dr. Yaar Solomon

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**PhD**: Ben-Gurion University of the Negev, 2013

#### Research Interests

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

## Dynamical systems and Ergodic theory

### Prof. Daniel Berend

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**PhD**: The Hebrew University of Jerusalem, 1982

#### Research Interests

Applied Probability, Combinatorial Optimization, Number Theory.

### Prof. Yair Glasner

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**PhD**: Hebrew University, 2003

#### Research Interests

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

#### Research Groups

### Prof. Tom Meyerovitch

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**PhD**: Tel Aviv University, 2009

#### Research Interests

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

#### Research Groups

### Dr. Izhar Oppenheim

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**PhD**: Technion, 2012

#### Research Interests

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

### Dr. Yaar Solomon

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**PhD**: Ben-Gurion University of the Negev, 2013

#### Research Interests

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

## Functional Analysis, Operator Theory and Operator Algebras

### Prof. Daniel Alpay

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**PhD**: Weizmann Institute of Science, 1986

#### Research Interests

- Quaternionic analysis. Function theory on Riemann surfaces. Linear system
theory
- Infinite dimensional analysis, Hida's white noise space, Gaussian processes

### Dr. Saak Gabrielyan

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**PhD**: ,

#### Research Interests

<p>Topological groups (general theory), abstract harmonic analysis, topological dynamics</p>

#### Research Groups

### Prof. Ilan Hirshberg

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**PhD**: University of California at Berkeley, 2003

#### Research Interests

<p>Operator algebras.</p>

#### Research Groups

#### Graduate Students

### Dr. Daniel Markiewicz

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**PhD**: University of California at Berkeley, 2002

#### Research Interests

Operator algebras

#### Research Groups

### Prof. Arkady Poliakovsky

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**PhD**: ,

#### Research Interests

Partial differential equations, geometric measure theory

#### Research Groups

#### Graduate Students

### Dr. Alexander Ukhlov

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**PhD**: ,

#### Research Interests

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

#### Research Groups

### Prof. Victor Vinnikov

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**PhD**: Ben-Gurion University, 1988

#### Research Interests

Operator theory, system theory, algebraic geometry

#### Research Groups

#### Postdoctoral Fellows

## Geometry and Topology

### Dr. Michael Brandenbursky

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**PhD**: Technion, 2010

#### Research Interests

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.

#### Research Groups

### Prof. Michael Levin

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**PhD**: ,

#### Research Interests

Topology, dimension theory, geometric topology, continuum theory

#### Research Groups

## Mathematical and Computational Logic

### Dr. Assaf Hasson

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**PhD**: The Hebrew University at Jerusalem, 2004

#### Research Interests

Model theory and applications to algebra and geometry.

#### Research Groups

#### Graduate Students

### Dr. Moshe Kamensky

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**PhD**: The Hebrew University at Jerusalem, 2007

#### Research Interests

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.

#### Postdoctoral Fellows

#### Graduate Students

### Prof. Menachem Kojman

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**PhD**: The Hebrew University at Jerusalem, 1994

#### Research Interests

Set theory, mathematical logic, combinatorics.

### Dr. Arkady Leiderman

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**PhD**: Institute of Mathematics, Novosibirsk, 1985

#### Research Interests

Set theoretic topology, functional analysis, topological groups.

#### Research Groups

### Prof. Gregory Mashevitsky

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**PhD**: ,

#### Research Interests

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