Steven Kleiman

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Steven Lawrence Kleiman (born March 31, 1942 in Boston , Massachusetts ) is an American mathematician who deals with algebraic geometry .

Life

Kleiman studied at MIT and then at Harvard University , where he studied with Oscar Zariski and David Bryant Mumford , from 1962 attended Alexander Grothendieck's seminar at Harvard and in 1964 heard from David Mumford and in 1965 from Zariski with the dissertation Toward a Numerical Theory of Ampleness received her PhD. He was then a JF Ritt Instructor and Assistant and Associate Professor at Columbia University . From 1966 to 1970 he regularly attended the Grothendieck seminars at IHES. He has been a professor at MIT since 1969.

From 1966 to 1967 he was a NATO Postdoctoral Fellow at IHES , a Sloan Research Fellow in 1968 and a Guggenheim Fellow in 1979 . In 1989 he received an honorary doctorate from the University of Copenhagen . In 2002 he became an external member of the Norwegian Academy of Sciences . At the same time, an international conference was held in Oslo on his 60th birthday. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Finiteness theorems for algebraic cycles ). He is a fellow of the American Mathematical Society .

In algebraic geometry made Kleiman important contributions to the theory of moduli , the average theory (Intersection Theory), the motivic cohomology (see also cohomology ) and in particular the enumerative geometry that after beginnings in the 19th century by Hermann Schubert and Hieronymus Georg Zeuthen , among others was justified more strictly by Kleiman.

Spencer Bloch is one of his PhD students .

Fonts

  • Toward a numerical theory of ampleness, Annals of Mathematics, Volume 84, 1966, 293-344
  • Algebraic cycles and Weil conjectures. In: Dix exposés sur la cohomologie des schémas, Masson 1968
  • with Allen Altman: Introduction to Grothendieck duality theory, Springer Verlag, Lecture Notes in Mathematics 146, 1970
  • The transversality of a general translate, Compositio Mathematica, Volume 28, 1974, 287-297
  • Compactifying the Picard scheme, Advances in Mathematics, Volume 35, 1980, pp. 50-112
  • with Anders Thorup: A geometric theory of the Buchsbaum-Rim multiplicity, Journal of Algebra, Volume 167, 1995, 168-231
  • with Steven Gaffney: Specialization of integral dependence for modules, Inventiones Mathematicae, Volume 137, 1999, pp. 541-574
  • with Dan Laksov: Schubert Calculus , American Mathematical Monthly, Volume 69, December 1972, pp. 1061-1082
  • The Picard Scheme, in Leila Schneps (Ed.), Alexandre Grothendieck, a mathematical portrait, International Press 2014
  • A note on the Nakai-Moiszeon test for ampleness, American Journal of Mathematics, Volume 87, 1965, pp. 221-226

literature

  • Interview in Joel Segel (Ed.), Recountings, Conversations with MIT mathematicians, AK Peters 2009

Web links

Individual evidence

  1. ↑ Annals of Mathematics Vol. 84, 1966, p. 293
  2. ↑ He published memories of Grothendieck in Michael Artin u. a. Alexandre Grothendieck I, Notices AMS, Volume 63, 2016, No. 3, pp. 253f
personal data
SURNAME Kleiman, Steven
ALTERNATIVE NAMES Kleiman, Steven Lawrence (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH March 31, 1942
PLACE OF BIRTH Boston , Massachusetts