Division of Pure Mathematics: Algebra, group theory, general topology, geometry of manifolds, differentiable manifolds.
Division of Applied Analysis: Differential equations, special functions and orthogonal polynomials, dynamical systems and chaos, fluid mechanics, general relativity, quantum mechanics.
Division of Computational Mathematics and Informatics: Numerical solution of nonlinear systems, neural networks, celestial mechanics, educational software development, complexity of algorithms.
Division of Statistics, Probability and Operational Research: Probability theory, theory of statistical estimation, mathematical programming, optimization, stochastic processes.
Division of Mathematics Education, History and Philosophy of Mathematics:
Mathematical logic, fuzzy logic, problem solving methodologies, didactics and language of mathematics .