Research programs

 Department of Algebra

  • Morphisms in Special Categories
  • Finite Groups
  • Algebraic Methods in Systems Modeling
  • Theory of Generalized Inverse of Linear Operators
  • Combinatorial Analysis and Discrete Mathematics.

 Department of Mathematical Analysis

  • Spectral Theory of Operators on Hilbert Spaces
  • Linear Systems with Control
  • Theory of Operators on Banach Spaces
  • Interpolation Theory
  • Operator Algebras and Non-Commutative Integration
  • Function Spaces and Uniform Algebras
  • Stability, Dichotomy, Hiperstability

 Department of Differential Equations

  • Stability, Liapunov Functions, Attraction Domains, Controllability
  • Navier-Stokes Equations, Statistical Solutions, Flows in Porous Environments
  • Infinite Systems of Differential Equations

 Department of Geometry

  • Differential Geometry and Global Analysis with Applications in Theoretical Physics and Mechanics
  • Differential Operators and Manifolds
  • Fundamentals of Mathematics

 Department of Probability Theory

  • Probabilistic Analysis and Theory of Probabilistic Metric Spaces
  • Stochastic Analysis, Stochastic Differential Equations and Stochastic Approximation
  • Numerical Studies and Computational Statistics with Applications
  • Stochastic Modeling
  • Learning Algorithms
  • Neural Networks
  • Nonlinear Partial Differential Equations (N.P.D.E.)
  • Finite-Dimensional Approximation in N.P.D.E.
  • Random Operators. Set-Valued Stochastic Analysis

 Department of Theoretical Computer Science

  • Computational Mathematics. Coupling Symbolic and Numerical Calculus
  • Artificial Intelligence. Knowledge-Based Systems. Multi-Agent Systems
  • Parallel and Distributed Computing
  • Constraint Solving for Logic Functional Programming
  • Formal Languages
  • Graphics and Image Processing
  • Systems Security

 Department of Computing Systems

  • Theory of Algorithms
  • Object Oriented and Distributed Data Bases
  • Distributed Systems and Programming Languages
  • Fuzzy Systems
  • Computer Networks. Petri Nets


©1999-2004  Faculty of Mathematics and CS