2017 research activities
Overview
The principal research interests of the department lie in the broadly understood areas of analysis, probability, algebra, and geometry.
Topics covered in Analysis include operator and matrix theory, spectral theory, linear and nonlinear ordinary and partial differential equations, functional and harmonic analysis, ergodic theory and dynamical systems, control theory in its various manifestations, optimization, game theory, approximation and complexity of functions, numerical analysis, singularity theory and robotics.
Research in Probability theory covers random walks and graphs, motion in random media, percolation, random matrices, Gaussian fields and other probabilistic models in mathematical physics.
Areas of Geometric research include the structure of finite and infinite dimensional spaces, analytic, real algebraic and semialgebraic geometry, typology of foliations and complex vector fields.
The Algebraic direction includes some aspects of algebraic geometry, geometric group theory, Lie Theory, representation theory, quantum groups, number theory, automorphic forms, ring theory, statistics of Young diagrams, algebraic combinatorics and enveloping algebras, invariants and crystals.
For the research done at our sister department, the Department of Scomputer Science and Applied Mathematics, see here.
ScientistsShow details

Prof. Avraham Rami Aizenbud
Algebraic geometry: Algebraic groups, Singularity theory Geometric invariant theoryRepresentation theory of real and padic groups: Harmonic analysis on Spherical varieties, Gelfand pairs, asymptotic representation theoryFunctional analysis: Distributions and generalized functions, Microlocal analysis, Topological vector spaces.
Homepage

Prof. Zvi Artstein
Decisions under uncertainty.Ordinary differential equations, singular perturbations, averaging, nonautonomous systems.Control and optimal control, singularly perturbed systems, variational analysis.
Homepage

Dr. Dmitry Gourevitch
Invariant distributionsRepresentation theory of reductive groups over local fields: Representations of real reductive groups, Representations of padic reductive groups, Relative representation theory, Gelfand pairs
Homepage

Prof. Yakar Kannai
Partial differential equations.Mathematical economics, statistical analysis of occurrence of asthma in children.
Homepage

Prof. Victor Katsnelson
Operator theoryHarmonic analysis.Classical analysisAnalytic theory of differential equations.System representation theory of matrix functions.
Homepage

Prof. Boaz Klartag
AnalysisConvex GeometryHighdimensional effects (i.e., when the dimension tends to infinity).
Homepage

Prof. Amitai Regev
Noncommutative ring theory, Algebras satisfying polynomial identitiesCombinatorics: Symmetric functions, Permutation statistics
Homepage

Prof. Sergei Yakovenko
Analytic theory of ordinary differential equations.Singularity theory. Singular foliations, limit cycles, holonomy.
Homepage

Prof. Yosef Yomdin
High Order Data Representation, Nonlinear Model Approximation. Taylor Models, HighOrder Numerical methodsSemialgebraic Complexity of functions, Signals Acquisition via nonlinear model approximationAnalytic Theory of Differential Equations, Generalized Moments, CompositionsZeroez distribution in Families of Analytic FunctionsModelbased image analysis, representation, compression. Modelbased search, capturing, and animation
Homepage

Prof. Ofer Zeitouni
Motion in random mediaRandom matricesApplications in nonlinear filtering, Communication and Information theory
Homepage