PhD, Probability and Statistics, Institute of Mathematics

Areas of Expertise

Probability, including exact inequalities and limit theorems

Mathematical statistics

Optimization

Evolutionary modeling

Operations research

Research

Probability (External 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)