Vladimir Igorevich Bogachev

Abstract

The prominent mathematician Vladimir Igorevich Bogachev, Professor at the Department of the Theory of Functions and Functional Analysis of the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University, Professor at the Faculty of Mathematics of the HSE University, and Professor at the Department of Mathematics of the Faculty of Informatics and Applied Mathematics at St Tikhon’s Orthodox University, celebrated his sixtieth birthday on 14 February 2021. He was born in Moscow. His parents worked for defence industry and were involved directly in launching Earth satellites and ballistic missiles. After graduating from Moscow secondary school no. 19 with a gold medal, where B. L. Geidman was his mathematics teacher, Bogachev enrolled at the Faculty of Mechanics and Mathematics at Moscow State University, and later started postgraduate studies there with O. G. Smolyanov as his scientific advisor. He completed his postgraduate studies ahead of time, and in 1986, after defending his PhD thesis, begun to work at the same Faculty. Bogachev is a major expert in measure theory, the theory of probability, infinitedimensional analysis, and partial differential equations. He has solved a number of difficult problems stated by well-known mathematicians, and has obtained fundamental results in the theory of Gaussian distributions, investigated the differentiability properties of measures, and developed a new line of research in the theory of Fokker–Planck–Kolmogorov equations. His first papers, published in the early 1980s, concerned measure theory in infinite-dimensional spaces and the theory of differentiable measures, where he continued the research of his advisor Smolyanov. Bogachev gained recognition by successfully solving three problems posed by Aronszajn in the theory of infinite-dimensional probability distributions. Aronszajn proposed the following definition as an infinite-dimensional analogue of a set with Lebesgue measure zero.