Nikolai V. Ivanov
| Nikolai V. Ivanov | |
|---|---|
| Born | 1954 (age 61–62) |
| Residence | United States |
| Nationality | Russia |
| Fields | Mathematics |
| Institutions | Michigan State University |
| Alma mater | Steklov Mathematical Institute |
| Doctoral advisor | Vladimir Abramovich Rokhlin |
| Known for | Contributions to Teichmüller theory |
| Influences | Jean Dieudonné |
Nikolai V. Ivanov (in Russian: Николай В. 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]
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 6 March 2016, Ivanov's works had already received more than 1990 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 J. 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.
- 1 2 Profile of Nikolai V. Ivanov at Google Scholar
- ↑ 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