Andrei Nikolaevich Tyurin

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Andrei Nikolajewitsch Tjurin ( Russian Андрей Николаевич Тюрин , English transcription Andrej (or Andrey) Tyurin; * February 24, 1940 in Moscow ; † October 27, 2002 ibid) was a Russian mathematician who dealt with algebraic geometry .

Tyurin studied from 1957 at Lomonosov University with Igor Schafarewitsch , where he received his doctorate in 1965. He was one of the members of the Shafarevich seminar on algebraic surfaces , which appeared as a book in 1965 (with Tyurin as co-author). In 1971 he completed his habilitation (Russian doctorate), where he proved a theorem of the Torelli type for algebraic curves , soon afterwards he also proved theorems of the Torelli type for Fano varieties .

Tyurin had been a professor since 1962, a scientist in the Algebra section of the Steklow Institute in Moscow, where he led a seminar on algebraic geometry for many years. He was not allowed to travel abroad in the 1970s and 1980s and did not visit the West until 1989 at a symposium in Chicago and in 1990 the University of Warwick. After that he was often abroad, especially in Great Britain and shortly before his death at the Isaac Newton Institute . He died unexpectedly of a heart attack.

He dealt in particular with vector bundles over algebraic curves (and higher-dimensional varieties ) and their module spaces , which he dealt with as a student in the early 1960s, following on from the work of French mathematicians ( André Weil , Jean-Pierre Serre ).

Most recently he also dealt with mathematical aspects of string theory and quantum field theory .

In 1981 he introduced the Tyurin invariants named after him, pseudo-Riemannian 4-manifolds .

Tyurin was a corresponding member of the Russian Academy of Sciences.

He was the (younger) brother of the mathematician Galina Nikolajewna Tjurina . His son Nikolai Tyurin is a professor at the Nuclear Research Center in Dubna (Bogolyubov Institute).

Fonts

  • Collected Works , Volume 1 (Vector Bundles), Universitätsverlag Göttingen, 2008, editors Fjodor Bogomolow , Miles Reid , Nikolay Tyurin, Alexey Gorodentsev, Victor Pidstrigach, foreword Igor Schafarewitsch (arranged in 3 volumes)
  • Quantization, Classical and Quantum Field Theory and Theta-Functions , 2003, Preprint
  • The Geometry of moduli of vector bundles , Russian Mathematical Surveys, Volume 29, 1974, pp. 57-88
  • Five lectures on threefolds , Russian Mathematical Surveys, Volume 27, 1972, pp. 1-53
  • Six lectures on four manifolds , in Transcendental methods in algebraic geometry (Cetraro 1994), Lecture Notes in Mathematics 1646, 1996, pp. 186–246

Web links

Individual evidence

  1. ↑ With these sentences it is examined to what extent an algebraic variety is determined by another assigned variety. In the classic case of Torelli, the definition of an algebraic curve by its Jacobi variety
  2. ^ A local invariant of a Riemannian Manifold , Math. USSR-Izv., Volume 45, 1981, pp. 125-149
  3. ↑ Local and global invariants of a four dimensional pseudo-Riemannian manifold , Proc. Steklov Inst. Math. 1985, No. 3, pp. 227-242
personal data
SURNAME Tyurin, Andrei Nikolaevich
ALTERNATIVE NAMES Тюрин, Андрей Николаевич (Russian spelling)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH February 24, 1940
PLACE OF BIRTH Moscow
DATE OF DEATH October 27, 2002
Place of death Moscow