Nikolai V. Ivanov
Born1954 (age 69–70)
NationalityRussian
Alma materSteklov Mathematical Institute
Known forContributions to Teichmüller theory
Scientific career
FieldsMathematics
InstitutionsMichigan State University
Doctoral advisorVladimir Abramovich Rokhlin

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).[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 5 July 2020, Ivanov's works had received 2,376 citations and his h-index was 22.[2]

He is a fellow of the American Mathematical Society since 2012.[4]

He is the author of the 1992 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

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