Steven Kleiman

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

Life

Kleiman studied at MIT and then at Harvard University, where he studied with Oscar Zariski and David Bryant Mumford and in 1965 received his doctorate with a thesis on Zariski Toward a numerical theory of ampleness. After that he was JF Ritt Instructor and Assistant and Associate Professor at Columbia University. Since 1969 he is a professor at MIT.

1966 to 1967 he was a NATO Postdoctoral Fellow at the IHES, 1968 Sloan Fellow and Guggenheim Fellow in 1979. He became an honorary doctorate from the University of Copenhagen in 1989. He was a foreign member of the Norwegian Academy of Sciences, 2002. 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 (Finite Ness theorem for algebraic cycles ). He is a Fellow of the American Mathematical Society.

In algebraic geometry Kleiman made ​​important contributions to the theory of moduli, the intersection theory ( Intersection Theory), the motivic cohomology (see also cohomology ) and in particular enumerative geometry, after beginnings in the 19th century by Schubert and Zeuthen, among others, Kleiman strict was founded.

His doctoral counts Spencer Bloch.

Writings

  • Toward a numerical theory of ampleness, Annals of Mathematics, Volume 84, 1966, 293-344
  • Agebraic cycles and Weil conjectures. In: Dix exposés sur la cohomology of 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
  • 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
David Mumford Institut des Hautes Études Scientifiques Sloan Fellows Name Authority File
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