**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 .