Research directions

Mathematics Specialty

  • Algebra (theory of radicals, structural problems in algebraic systems near to rings, modules and algebras);
  • Quasigroups and combinatorial analysis (general theory of quasigroups and algebraic operations, combinatorial problems in quasigroups and coding and ciphering information applications);
  • Mathematical logic (algorithmic problems of functional expressivity as well as its generalizations into non-classical logics);
  • Topological algebra;
  • Geometry of discrete groups;
  • The quality theory of differentiated equations and the theory of algebraic invariants;
  • Applying group analysis and Lie algebras to differentiated equations;
  • Functional analysis.
  • Mathematical modeling;
  • Numeric methods;
  • Probability theory;
  • Game theory and optimal control;
  • Modeling of economic processes.

Computer science

  • Theoretical basics of computer science (formal models of computation, grammars and formal languages, computational algebra);
  • Processing of natural language;
  • Modeling and simulation systems;
  • Technology of program product development (methods, advanced means of development of programming system, methodologies and integrated technologies for the development of program products, processing systems of non-structured data).
  • Theoretical and applied research in the area of information systems (Theoretical research: algorithms and new technologies for acquisition, formalization and management of knowledge; ultrasound image processing. Applied research: decision support systems, computer assisted intelligent systems for training, web content management systems).
  • Building of information society.