Steven Kleiman
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
- ↑ Annals of Mathematics Vol. 84, 1966, p. 293
- ↑ 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 |