Research topics

Computer Science

  • Artificial Intelligence
  • Approximate Reasoning
  • Mereology and granulation of knowledge
  • Rogh set theory, rough set classifiers
  • Applications of semantic webs and onthology to multiagents systems

Mathematical foundations of Computer Science

  • Logic of types, formal grammars and their applications to Computer Science
  • Combinatorics, graph theory

Differential equations

  • Dynamical systems and ergodic theory
  • Nonlinear partial differential equations
  • Qualitative theory of differential equations

Geometry and its applications

  • Global differential geometry, geometric structures on smooth manifolds
  • Incidence geometry, computational geometry
  • Symplectic and Contact Topology
  • Lie group theory, representation theory
  • Integrable systems

Algebraic topology

  • Homotopy theory
  • Homotopy theory of graphs

Mathematical Physics, Experimental Physics

  • General Relativity Theory
  • Theory of solitons
  • Mathematical and computer modeling of quantum systems
  • Applications of Nuclear Magnetic Resonance technique to problems of medical diagnostics and safety of food control

Applied Mathematics

  • Mathematical modeling in medicine
  • Statistics