Nikolai Ivanov (mathematician)

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 15 March 2024, Ivanov's works had received 3,006 citations and his h-index was 25.[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]

  1. ^ Mathematical Association of America, Monthly 118: "Arnol’d, the Jacobi Identity, and Orthocenters", p. 65.
  2. ^ a b Nikolai Ivanov publications indexed by Google Scholar
  3. ^ Nikolai Ivanov at the Mathematics Genealogy Project
  4. ^ List of Fellows of the American Mathematical Society
  5. ^ Review by Francis Bonahon: Bull. Amer. Math. Soc. 30 (1994), 138–142.
  6. ^ Handel & Mosher: Subgroup classification in Out(Fn)
  7. ^ Leininger & Margalit: Two generator subgroups of the pure braid group