Nikolai V. Ivanov (in Russian: Николай Васильевич Иванов, born in 1954) is a Russian mathematician who works on topology, geometry and group theory (particularly, modular Teichmüller groups).[1] He is a professor at Michigan State University.[2]
Nikolai V. Ivanov | |
|---|---|
| Born | 1954 (age 70–71) |
| Nationality | Russia |
| Alma mater | Steklov Mathematical Institute |
| Known for | Contributions to Teichmüller theory |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Michigan State University |
| Doctoral advisor | Vladimir Abramovich Rokhlin |
He obtained his Ph.D. under the guidance of Vladimir Abramovich Rokhlin in 1980 at the Steklov Mathematical Institute.[3]
According to Google Scholar, on 11 March 2018, Ivanov's works had received 2,234 citations and his h-index was 23.[2]
He is a fellow of the American Mathematical Society since 2012.[4]
He is the author of the book Subgroups of Teichmüller Modular Groups.[5]
Among his contributions to mathematics are his classification of subgroups of surface mapping class groups,[6] and the establishment that surface mapping class groups satisfy the Tits alternative.[7]
Selected publications
- "Automorphisms of complexes of curves and of Teichmuller spaces" (1997), International Mathematics Research Notices 14, pp. 651–666.
- with John D. McCarthy: "On injective homomorphisms between Teichmüller modular groups I" (1999), Inventiones mathematicae 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
- ^ Mathematical Association of America, Monthly 118: "Arnol’d, the Jacobi Identity, and Orthocenters", p. 65.
- ^ a b Nikolai Ivanov publications indexed by Google Scholar
- ^ Nikolai Ivanov at the Mathematics Genealogy Project
- ^ List of Fellows of the American Mathematical Society
- ^ Review by Francis Bonahon: Bull. Amer. Math. Soc. 30 (1994), 138–142.
- ^ Handel & Mosher: Subgroup classification in Out(Fn)
- ^ Leininger & Margalit: Two generator subgroups of the pure braid group