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Nikolai V Ivanov

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Nationality
  
Russia

Name
  
Nikolai Ivanov


Fields
  
Mathematics

Institutions
  
Michigan State University

Alma mater
  
Steklov Institute of Mathematics

Doctoral advisor
  
Vladimir Abramovich Rokhlin

Books
  
Subgroups of Teichmuller Modular Groups

Residence
  
United States of America

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). He is a professor at Michigan State University.

He obtained his Ph.D. under the guidance of Vladimir Abramovich Rokhlin in 1980 at the Steklov Mathematical Institute.

According to Google Scholar, on 6 March 2016, Ivanov's works had already received more than 1990 citations and his h-index was 23.

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

He is the author of the 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.

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

    Nikolai V. Ivanov Wikipedia