Department of Mathematics
Omri Sarig, Head
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.
Representation theory of real and p-adic groups: Harmonic analysis on Spherical varieties, Gelfand pairs, asymptotic representation theory
Algebraic geometry: Algebraic groups, Singularity theory Geometric invariant theory
Functional analysis: Distributions and generalized functions, Microlocal analysis, Topological vector spaces.
Control and optimal control, singularly perturbed systems, variational analysis.
Decisions under uncertainty.
Ordinary differential equations, singular perturbations, averaging, nonautonomous systems.
Probability and geometry.
Non-Archimedean analytic geometry.
Algebraic geometry.
Number theory.
Inverse problems.
Operator theory.
Classical analysis.
E. Friedgut
Combinatorics and discrete Fourier analysis.
T. Gelander
Geometric group theory.
Discrete and dense subgroups af Lie Groups.
Algebraic groups and number theory.
Arythmetic groups and locally symmetric spaces.
Complex and p-adic Automorphic forms and L-functions.
Representation theory and Lie superalgebras
Representation theory of reductive groups over local fields: Representations of real reductive groups, Representations of p-adic reductive groups, Relative representation theory, Gelfand pairs
Invariant distributions
Lie algebras and enveloping algebras, quantum groups. Invariant theory.
Mathematical economics, statistical analysis of occurrence of asthma in children.
Partial differential equations.
System representation theory of matrix functions.
Analytic theory of differential equations.
Harmonic analysis.
Operator theory
Classical analysis
G. Kozma
Probability
Harmonic Analysis
E. Lapid
Authomorphic forms, representation theory, trace formula
Hilbert 16th problem
Ordinary differential equations
Non-commutative ring theory, Algebras satisfying polynomial identities
Combinatorics: Symmetric functions, Permutation statistics
Ergodic theory and dynamical systems
Convex geometry
Functional analysis and geometry of Banach spaces
Probability
Analytic theory of ordinary differential equations.
Singularity theory. Singular foliations, limit cycles, holonomy.
Analytic Theory of Differential Equations, Generalized Moments, Compositions
Zeroez distribution in Families of Analytic Functions
Semialgebraic Complexity of functions, Signals Acquisition via non-linear model approximation
High Order Data Representation, Nonlinear Model Approximation. Taylor Models, High-Order Numerical methods
Model-based image analysis, representation, compression. Model-based search, capturing, and animation
Motion in random media
Random matrices
Applications in nonlinear filtering, Communication and Information theory