### Professor, Mathematical Sciences

- PhD, Probability and Statisitics, Institute of Mathematics

### Areas of Expertise

- Probability, including exact inequalities and limit theorems
- Mathematical statistics
- Optimization
- Evolutionary modeling
- Operations research

#### Research

- Probability (Extremal problems, exact inequalities, and limit theorems for sums of independent random variables and martingales, including those in functional spaces)
- Statistics (minimax estimation, Student's and Hotelling's tests and their generalizations)
- Optimization and Operations Research (minimax duality in general, duality in transportation problems and in probability and statistics)
- Analytic inequalities (l'Hospital-type rules for monotonicity, general multilinear Stolarsky-type inequalities, etc.)
- Geometry (geometry in the theory of relativity, incidence geometry and geometric algebra, convex geometry, computational geometry, hyperbolic geometry)
- Combinatorics (0-1 matrices, generalizations of Hall's theorem, discrete mass transportation duality)
- Physics (theory of relativity under minimal assumptions)
- Biology (evolution modeling, population dynamics)
- Mechanical Engineering (Eiffel Tower shape modeling)