Sergei Lvowitsch Tabachnikov

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Sergei Lwowitsch Tabachnikow , ( Russian Сергей Львович Табачников , English Sergei Tabachnikov , also Serge Tabachnikov; * 1956 ) is a Russian mathematician who teaches in the USA and deals with geometry and dynamic systems .

Tabachnikov (left) with Dmitry Fuchs in Oberwolfach 2006

Tabachnikov studied mathematics at the Moscow State Pedagogical University , where he graduated in 1978 and then taught at a special mathematics school for two years. From 1979 to 1988 he was assistant professor and program coordinator at the correspondence school for mathematics at Lomonosov University , initiated by Israel Gelfand . In 1987 he received his doctorate from Lomonosov University with Dmitry Fuchs and Anatoli Fomenko ( Geometrical applications of the cohomology of infinite dimensional Lie algebras ). In 1990 he went to the USA, where he became an associate professor and later professor at the University of Arkansas . From 2000 he was a professor at Pennsylvania State University , where he is director of the MASS program. He was a visiting scientist at IHES , MSRI , the Mathematical Research Institute Oberwolfach , the Isaac Newton Institute , the Max Planck Institute for Mathematics in Bonn and the University of Tel Aviv .

Tabachnikov mainly deals with geometric issues, from differential topology , nodes , geometry of Lie groups , projective differential geometry , scrolling , contact geometry , symplectic geometry to classic problems such as Poncelet's closure theorem , as well as dynamic systems such as billiards .

From 1988 to 1990 he was the head of the mathematics editorial team in the Russian popular science magazine Kvant , for which he also wrote many articles.

He is a fellow of the American Mathematical Society .

Fonts

  • Geometry and Billiards , American Mathematical Society 2005
  • with Dmitry Fuchs A graph of mathematics: 30 lectures on classical mathematics , Springer Verlag 2011 (English original: Mathematical Omnibus. 30 Lectures on classical mathematics , American Mathematical Society 2007)
  • with Valentin Ovsienko Projective differential geometry old and new: from the Schwarzian derivative to the cohomology of diffeomorphism groups , Cambridge University Press 2004
  • Editor of various volumes of translations of articles from the Russian popular science journal Kvant at the American Mathematical Society ( Kvant Selecta )
  • Polynomials , Moscow 1996 (Russian)
  • Editor: Differential and symplectic topology of knots and curves , American Mathematical Society 1999
  • Proofs (not) from the book , Mathematical Intelligencer, 2014, No. 2

Web links

Individual evidence

  1. Gelfand also carried out the program from 1990 in the USA at Rutgers University ( GCPM ). He and others wrote three textbooks ( Algebra with Shen, Method of Coordinates , Functions and Graphs ). Enrolled students were given problems, the solutions of which they sent in by letter.
  2. Sergei Lwowitsch Tabatschnikow in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. A year-long program for undergraduate training in mathematics, Anatole Katok , Svetlana Katok , Sergei Tabachnikov MASS Program at Penn State , Mathematical Intelligencer, 2002, No. 4