Nikolai V. Ivanov

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Nikolai V. Ivanov , Russian Николай В. Иванов , (born October 10, 1954 ) is a Russian-American mathematician who is a professor at Michigan State University .

Ivanov received his doctorate in 1980 under Vladimir Abramowitsch Rochlin at the Steklow Institute in Leningrad .

He deals with topology and differential geometry , especially with mapping class groups of compact orientable surfaces S (modular Teichmüller groups), i.e. isotope classes of diffeomorphisms from S.

He is a fellow of the American Mathematical Society .

Fonts

  • Mapping class groups. Handbook of geometric topology, 523-633, North-Holland, Amsterdam, 2002.
  • Subgroups of Teichmüller modular groups. Translated from the Russian by EJF Primrose and revised by the author. Translations of Mathematical Monographs, 115. American Mathematical Society, Providence, RI, 1992. ISBN 0-8218-4594-2
  • Fifteen problems about the mapping class groups , In: Benson Farb (Ed.), Problems on Mapping Class Groups and Related Topics, Proc. Sympos. Pure Math. 74, Amer. Math. Soc., Providence, RI, 2006, pp. 71-80.
  • with Benson Farb : The Torelli geometry and its applications , The Mathematical Research Letters, Volume 12, 2005, pp. 293-301.
  • A differential forms perspective on the Lax proof of the change of variable formula , The American Mathematical Monthly, Volume 112, 2005, pp. 799-806.
  • Examples of large centralizers in the Artin braid groups , Geom. Dedicata, Volume 105, 2004, pp. 231-235.
  • A short proof of non Gromov hyperbolicity of Teichmüller spaces , Ann. Acad. Sci. Fenn. Math., Vol. 27, 2002, No. 1, pp. 3-5.
  • with John D. McCarthy : On injective homomorphisms between Teichmüller modular groups I , Inventiones Mathematicae, Volume 135, 1999, pp. 425-486.
  • Automorphisms of complexes of curves and of Teichmuller spaces , International Mathematics Research Notices 14, 1997, pp. 651-666.
  • On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients , Contemporary Mathematics, Volume 150, 1993, pp. 149-149.
  • Complexes of curves and the Teichmüller Modular Group , Russian Mathematical Surveys, Volume 47, 1987, No. 3, pp. 55-107
  • Foundations of the theory of bounded cohomology. (Russian. English summary) Studies in topology, V. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 143: 69-109, 177-178 (1985).

Web links

References and comments

  1. ↑ Nikolai V. Ivanov in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Ivanov, Nikolai V.
ALTERNATIVE NAMES Иванов, Николай В. (Russian)
BRIEF DESCRIPTION Russian-American mathematician
DATE OF BIRTH October 10, 1954