2017 research activities

Head Prof. Omri Sarig

Picture of Prof. Omri Sarig

Prof. Omri Sarig

משרד +972-8-934-4305

רקע כללי

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 semi-algebraic 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

  • Picture of Prof. Avraham Rami Aizenbud

    Prof. Avraham Rami Aizenbud

    Algebraic geometry: Algebraic groups, Singularity theory Geometric invariant theory
    Representation theory of real and p-adic groups: Harmonic analysis on Spherical varieties, Gelfand pairs, asymptotic representation theory
    Functional analysis: Distributions and generalized functions, Microlocal analysis, Topological vector spaces.

  • Picture of Prof. Zvi Artstein

    Prof. Zvi Artstein

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

  • Picture of Dr. Dmitry Gourevitch

    Dr. Dmitry Gourevitch

    Invariant distributions
    Representation theory of reductive groups over local fields: Representations of real reductive groups, Representations of p-adic reductive groups, Relative representation theory, Gelfand pairs

  • Picture of Prof. Yosef Yomdin

    Prof. Yosef Yomdin

    High Order Data Representation, Nonlinear Model Approximation. Taylor Models, High-Order Numerical methods
    Semialgebraic Complexity of functions, Signals Acquisition via non-linear model approximation
    Analytic Theory of Differential Equations, Generalized Moments, Compositions
    Zeroez distribution in Families of Analytic Functions
    Model-based image analysis, representation, compression. Model-based search, capturing, and animation