William Fulton
William Fulton (born August 29, 1939 in Boston , Massachusetts ) is an American mathematician who studied algebraic geometry.
Live and act
Fulton grew up in Naugatuck ( Connecticut ), studied at Brown University (Bachelor in 1961) with Herbert Federer, among others, and received his doctorate in 1966 at Princeton (where he heard from John Milnor , Gorō Shimura , John Moore) with Gerard Washnitzer . He was then at Princeton and at Brandeis University (1966 to 1969) before becoming an associate professor at Brown University in 1970, where he was professor from 1975. From 1987 he was at the University of Chicago , where he was Charles L. Hutchinson Distinguished Service Professor since 1995. From 1998 he was at the University of Michigan , where he is Miner Keeler Professor of Mathematics. He has been visiting scholar and visiting professor at IHES , MSRI , the Institute for Advanced Study , Columbia University (Eilenberg Professur), the Mittag-Leffler Institute , the universities of Genoa and Aarhus .
Fulton worked in particular with Robert MacPherson in the 1970s on the intersection theory of algebraic varieties . Their work gave a rigorous foundation to the older results of the Italian school of algebraic geometry. In 1981 they introduced the bivariate theory within category theory to study singular spaces in algebraic geometry.
Fulton is known for several textbooks, notably Algebraic Curves (originating from courses at Brandeis University, which he held as a post-doc), Representation Theory, and Intersection Theory . In 1996 he received the Leroy P. Steele Prize for his textbook "Intersection Theory" .
He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences and the Royal Swedish Academy of Sciences . In 1980/81 he was a Guggenheim Fellow. He is a fellow of the American Mathematical Society . In 2010 he received the Leroy P. Steele Prize for his life's work and in particular for his new foundation of intersection theory in the 1970s with MacPherson. The laudation also emphasized his leading role in the teaching of algebraic geometry in the USA, where he founded schools of algebraic geometrists at his respective universities and opened up future fields of research with several of his textbooks and review articles (in addition to sectional theory: toric varieties , Schubert calculus with connections to representation theory and invariant theory , quantum cohomology ). From 1995 to 1998 he edited the Journal of the American Mathematical Society .
In 1983 he was invited speaker at the International Congress of Mathematicians in Warsaw ( Some aspects of positivity in algebraic geometry ).
Fonts
- Algebraic Curves: An Introduction To Algebraic Geometry. Benjamin, New York 1969, Addison-Wesley, 1989, ISBN 0-201-51010-3 .
- Introduction to Intersection theory in Algebraic Geometry. Springer, Results of Mathematics and its Frontier Areas, 1984, 1998, ISBN 978-0-387-98549-7 .
- with Joe Harris : Representation Theory - A First Course. Graduate Texts in Mathematics, Springer, 1991, ISBN 978-0-387-97495-8 .
- Introduction to Toric Varieties. Princeton University Press, Princeton 1993.
- Algebraic Topology - A First Course. Springer, Graduate Texts in Mathematics, 1995.
- Young Tableaux with applications to representation theory and geometry. Cambridge University Press, 1993.
- with Serge Lang : Riemann-Roch Algebra , Basic Teachings of Mathematical Sciences, Springer 1985
- with Piotr Pragacz: Schubert Varieties and degeneracy loci. Springer, Lecture Notes in Mathematics (Thurnau Summer School 1995), 1998.
- Eigenvalues, invariant factors, highest weights, and Schubert calculus. Bulletin Amer. Math. Soc., Vol. 37, 2000, pp. 209-249.
- with Rahul Pandharipande : Notes on stable mappings and quantum cohomology. 1997, online .
Web links
- Homepage, with his book Algebraic Curves
- Laudation on receipt of the Steele Prize, Notices AMS, April 2010
Individual evidence
- ^ Fulton, MacPherson, Categorical framework for the study of singular spaces, Memoirs AMS, Volume 243, 1981
| personal data | |
|---|---|
| SURNAME | Fulton, William |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | August 29, 1939 |
| PLACE OF BIRTH | Boston , Massachusetts |