Functional Analysis, Operator Theory and Operator Algebras

Group Members

Research Interests
Emeritus Prof Avraham Feintuch

Operator theory, linear systems, optimal control

Emeritus Prof Paul Fuhrmann

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

Dr. Saak Gabriyelyan

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

Calculus 1 for Computer Science and Software Engineering
Emeritus Prof Alexander Markus

Operator theory, functional analysis, matrix theory.

Emeritus Prof Vadim Tkachenko

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

Prof. Victor Vinnikov

Operator theory, system theory, algebraic geometry

Fundamentals of Measure Theory
Dr. Motke Porat

Free Analysis, Operator Theory, Complex Analysis

Introduction to Linear Algebra C and Introduction to Discrete Mathematics
Dr. Eli Shamovich

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

Basic Concepts in Modern Analysis
Dr. Tattwamasi Amrutam

I work in the intersection between group dynamics and operator algebras. Most of my PhD work was devoted to understanding the structure of the crossed product structure.

Here are some(or all) of my publications:

  1. Generalized Powers’ averaging for Commutative crossed products., to appear in Transactions of the American Mathematical Society, preprint available at arXiv:2101.02853 ; (Joint with Dan Ursu).

  2. On Intermediate C-subalgebras of C-simple Group Actions, International Mathematics Research Notices, Volume 2021, Issue 21, November 2021, Pages 16191–16202,, preprint available at arXiv:1811.11381.

  3. On simplicity of intermediate C*-algebras, Ergodic Theory and Dynamical Systems, 40(12), 3181-3187. doi:10.1017/etds.2019.34 ; (Joint with Mehrdad Kalantar)

Dr. Daniel Markiewicz

Operator algebras

Prof. Ilan Hirshberg

Operator algebras.

Infinitesimal Calculus 1 and Probability 1 for statisticians
Prof. Alexander Ukhlov

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