Askold Georgievich Khovansky

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Askold Georgijewitsch Chowanski , Russian Аскольд Георгиевич Хованский , English transcription Askold Khovanskii, (born June 3, 1947 in Moscow ) is a Russian mathematician. He deals with real and complex algebraic geometry, singularity theory, differential equations and topology.

Chowanski, Oberwolfach 2011

Chowanski comes from the Lithuanian noble family Chowanski and carries the title of prince. He studied at the Lomonossow University with a diploma in 1970 and received his doctorate in 1973 under Vladimir Arnold at the Steklow Institute ( representation of functions by quadratures ). Since 1976 he was at the Institute for Systems Studies of the Soviet Academy of Sciences, where he became a senior scientist. In 1988 he completed his habilitation at the Steklow Institute (Russian doctorate, Newton Polyhedra and Fewnomials ). Since 1991 he has also been a professor at the Independent University of Moscow and since 1996 professor at the University of Toronto .

In the 1980s he developed the Fewnomial method to specify bounds for the number of real roots of polynomial systems. The theory is a generalization of the sign rule of Descartes (1637). He continues to deal with toric geometry , the mutual interrelationships of the geometry of polyhedra and algebraic geometry, and with topological Galois theory of differential equations, which the question of solutions through quadratures by looking at seeks to answer the Riemann surface of the solutions.

He was visiting professor at the École polytechnique , the University of Paris VII , the University of Dijon, the University of Bern , the Mittag-Leffler Institute , the University of Minnesota , IHES and the University of Maryland , among others . For 2014 he was awarded the Jeffery Williams Prize .

Fonts

  • Fewnomials , American Mathematical Society 1991
  • Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms , Springer 2014
  • Galois Theory, Coverings and Riemann Surfaces , Springer 2013
  • Editor: Geometry of differential equations , American Mathematical Society 1998

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Khovansky, Askold Georgievich
ALTERNATIVE NAMES Хованский, Аскольд Георгиевич (Russian); Khovanskii, Askold
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH June 3, 1947
PLACE OF BIRTH Moscow