September – December 2015 : Alexander LITVAK is working in Asymptotic Theory of finite dimensional normed spaces and related topics in Convex Geometry and Probability. His research is devoted to the study of asymptotic behavior of convex bodies in high dimensional spaces as well as random aspects of that behavior. Probabilistic technique and tools play crucial role in Asymptotic Theory. Part of his research is closely related to the study of the smallest non-trivial eigenvalue of a random matrix, i.e. the study of the norm of the inverse (from the image) operator, corresponding to a random matrix.