Igor Dolgachev

Igor Dolgachev (Russian Игорь Владимирович Долгачев, Igor Vladimirovich Dolgatschew; * 1944 ) is a Russian- American mathematician who deals with algebraic geometry.

Dolgachev studied at the Moscow State University, where he graduated in 1966 made ​​and received his doctorate in 1970 with Igor Shafarevich. In 1977 he left the Soviet Union and was in 1978 at the University of Michigan, where he is a professor.

In algebraic geometry, it dealt with issues such as classical invariant theory and algebraic surfaces and different, partly inspired from string theory symmetries of algebraic varieties ( McKay correspondence, according to John McKay, mirror symmetry). According to him the Dolgachev area is named (1981).

Writings

  • Lectures on invariant theory, Cambridge University Press 2003
  • With Francois Cossec: Enriques Surfaces I, Birkhäuser 1988
  • Integral quadratic forms: applications to algebraic geometry, Seminaire Bourbaki, No. 611, 1982/83
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