כל קבוצות המחקר

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.

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.

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

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.

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.

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

Partial differential equations, geometric measure theory

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

Differential Equations, differential-functional and difference equations

Differential equations, asymptotic theory of differential operators

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

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

Combinatorial geometry, topological graph theory, convex polytopes

Applied Probability, Combinatorial Optimization, Number Theory.

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

Set theory, mathematical logic, combinatorics.

Finite group theory, finite geometries, combinatorial topology.

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

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

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

Algebraic Graph Theory, Group Theory, Permutation Groups

Applied Probability, Combinatorial Optimization, Number Theory.

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

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

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

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

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

Operator theory, linear systems, optimal control

Systems and control theory, operator theory in Hilbert spaces, module theory and linear algebra

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

Operator algebras.

Operator theory, functional analysis, matrix theory.

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

Operator theory, system theory, algebraic geometry

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

Operator algebras

Free Analysis, Operator Theory, Complex Analysis

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

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

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

Set theoretic topology, functional analysis, topological groups.

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.

Topology, dimension theory, geometric topology, continuum theory

Algebraic geometry, Tropical Geometry, Singularities

Set theory, mathematical logic, concurrency (in Computer Science)

Model theory and applications to algebra and geometry.

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.

Set theory, mathematical logic, combinatorics.

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

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

Set theoretic topology, functional analysis, topological groups.

Stochastic processes, characterization problems of statistics, theory of function spaces.

Ergodic theory, Markov operators

Ergodic theory and dynamical systems, operator algebra, random processes.

Applied Probability, Combinatorial Optimization, Number Theory.

Probability: random walks, interacting particle systems, discrete analysis. Geometric group theory: spaces of harmonic functions on groups, random walks on groups, boundaries.