Ivanov (in Russian: ??????? ?????????? ??????, born in 1954) is a Russian mathematician who works on topology, geometry and group theory (particularly, modular Teichmüller groups).
He is a professor at Michigan State University.He obtained his Ph.D.
under the guidance of Vladimir Abramovich Rokhlin in 1980 at the Steklov Mathematical Institute.According to Google Scholar, on 11 March 2018, Ivanov's works had received 2,234 citations and his h-index was 23.He is a fellow of the American Mathematical Society since 2012.He is the author of the book Subgroups of Teichmüller Modular Groups.Among his contributions to mathematics are his classification of subgroups of surface mapping class groups, and the establishment that surface mapping class groups satisfy the Tits alternative.