Nikolai V. Ivanov (russian: Николай Владимирович Иванов, born 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 Michigan State University (Michigan State, MSU) is a public university, public Land-grant university, land-grant research university in East Lansing, Michigan. It was founded in 1855 as the Agricultural College of the State of Michigan, the fi ...

. He obtained his Ph.D. under the guidance of Vladimir Abramovich Rokhlin in 1980 at the Steklov Mathematical Institute. According to Google Scholar, on 5 July 2020, Ivanov's works had received 2,376 citations and his h-index was 22. He is a fellow of the American Mathematical Society since 2012. He is the author of the 1992 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 In mathematics, the Tits alternative, named for Jacques Tits, is an important theorem about the structure of finitely generated linear groups. Statement The theorem, proven by Tits, is stated as follows. Consequences A linear group is not am ...

.Leininger & Margalit: Two generator subgroups of the pure braid group
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Selected publications

*"Automorphisms of complexes of curves and of Teichmuller spaces" (1997), ''

International Mathematics Research Notices The ''International Mathematics Research Notices'' is a peer-reviewed mathematics journal. Originally published by Duke University Press and Hindawi Publishing Corporation, it is now published by Oxford University Press.Inventiones mathematicae ''Inventiones Mathematicae'' is a mathematical journal published monthly by Springer Science+Business Media. It was established in 1966 and is regarded as one of the most prestigious mathematics journals in the world. The current managing editors ...

'' 135 (2), pp. 425–486. *"On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients" (1993), ''Contemporary Mathematics'' 150, pp. 149–149.

References

External links

N. V. Ivanov websiteIvanov's blog
{{DEFAULTSORT:Ivanov, Nikolai V. 1954 births Topologists Geometers Living people Fellows of the American Mathematical Society Michigan State University faculty Steklov Institute of Mathematics alumni 20th-century Russian mathematicians 21st-century Russian mathematicians Soviet mathematicians