Department of Mathematics 

Gideon Schechtman, Head

The principal research interests of the department lie in the two general areas of mathematical analysis and its applications, and of algebra, mainly representation theory, algebraic geometry, and number theory. Topics covered in analysis include structure of finite and infinite dimensional spaces, operator and matrix theory, function theory on the plane, graphs and Riemann surfaces, spectral theory, several aspects of probability and some applications of statistics, linear and nonlinear ordinary and partial differential equations, harmonic analysis, dynamical systems, control theory in its various manifestations, optimization, game theory, approximation and complexity of functions, numerical analysis, singularity theory, and robotics. The algebraic direction includes some aspects of algebraic geometry, representation theory, quantum groups, number theory, automorphic forms, ring theory, and enveloping algebras. Although the approach taken is primarily that of theoretical mathematics, some of the research leans towards possible applications.

Z. Artstein 
zvi.artstein@weizmann.ac.il

Dynamical systems, ordinary differential equations.

1.  Singular perturbations

2.  Relaxation, probability measure-valued solutions

3.  Ergodicity

Control and optimal control.

1.  Singular perturbations

2.  Hybrid systems

3.  Stabilization

4.  Relaxation

Decisions under uncertainty

I. Benjamini 
itai.benjamini@weizmann.ac.il

Probability and geometry.
I. Benjamini, A. Dvoretzky, G. Schechtman, O. Schramm

V. Berkovich 
vladimir.berkovich@weizmann.ac.il

p-adic analytic geometry.

Number theory.
V. Berkovich, S. Gelbart

Algebraic geometry.
V. Berkovich, S. Yakovenko

A. Dvoretzky
aryeh.dvoretzky@weizmann.ac.il

Banach spaces.
A. Dvoretzky, G. Schechtman

H. Dym 
harry.dym@weizmann.ac.il

Inverse problems.

Operator theory.
H. Dym, V. Katsnelson, M. Solomyak

Classical analysis.
H. Dym, V. Katsnelson, Y. Yomdin

S. Gelbart 
stephen.gelbart@weizmann.ac.il

Automorphic forms and L-functions.

Group representations.
S. Gelbart, A. Joseph, A. Regev

M. Gorelik
maria.gorelik@weizmann.ac.il

Representation theory and Lie superalgebras
M. Gorelik, V. Serganova

A. Joseph 
anthony.joseph@weizmann.ac.il

Lie algebras and enveloping algebras, quantum groups.

Y. Kannai 
yakar.kannai@weizmann.ac.il

Mathematical economics, statistical analysis of occurrence of asthma in children.

Partial differential equations.
Y. Kannai, M. Solomyak

V. Katsnelson 
victor.katsnelson@weizmann.ac.il

Harmonic analysis.

Complexity of functions and approximations.
V. Katsnelson, S. Yakovenko, Y. Yomdin

A. Regev 
amitai.regev@weizmann.ac.il

Non-commutative ring theory.

S. Yakovenko 
sergei.yakovenko@weizmann.ac.il

Singularity theory.

Limit cycles of vector fields, analytic theory of ordinary differential equations.
S. Yakovenko, Y. Yomdin

Y. Yomdin 
yosef.yomdin@weizmann.ac.il

Analytic Theory of Differential Equations, Generalized Moments, Compositions
Y. Yomdin, M. Briskin, N. Roytvarf, F. Pakovich,

Zeroez distribution in Families of Analytic Functions
Y. Yomdin, M. Briskin, N. Roytvarf

Semialgebraic Complexity of functions
Y. Yomdin, G. Comte

High Order Data Representation, Nonlinear Approximation, based on Normal Forms of Singularities. Numerical methods

 This file was last modified on 03/06/2012 13:42:07

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