William Fulton (mathematician)
William Fulton ( born August 29, 1939 in Boston, Massachusetts) is an American mathematician who is engaged in algebraic geometry.
Life and work
Fulton grew up in Naugatuck (Connecticut), graduated from Brown University (Bachelor 1961) among others, Herbert Federer and was in Princeton ( where he heard John Milnor, Goro Shimura, John Moore) received his doctorate in 1966 with Gerard Washnitzer. He was then at Princeton and at Brandeis University ( 1966-1969 ) before 1970 Associate Professor at Brown University was where he was professor from 1975. From 1987 he was at the University of Chicago, where he was a professor since 1995, Charles L. Hutchinson Distinguished Service. From 1998 he was at the University of Michigan, where he is Miner Keeler Professor of Mathematics. He has been a visiting scientist and visiting professor at IHES, MSRI, the Institute for Advanced Study, Columbia University ( Eilenberg Professorship), the Mittag-Leffler Institute, the Universities of Genoa and Aarhus.
Fulton worked in particular with Robert MacPherson in the 1970s at the intersection theory of algebraic varieties. Their work was the older results of the Italian school of algebraic geometry a strict basis.
Fulton is known for several textbooks, in particular Algebraic Curves ( originated from courses at Brandeis University, he held a post-doc ), Representation Theory and Intersection Theory. In 1996 he received for his textbook "Intersection Theory" the Leroy P. Steele Prize.
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. 1980/81 he was a Guggenheim Fellow. In 2010 he received the Leroy P. Steele Prize for Lifetime Achievement, and in particular for his new foundation of the theory section in the 1970s with MacPherson. It was emphasized in the eulogy his leading role in the teaching of algebraic geometry in the United States, where he founded algebraic geometer at its respective university haunts schools and with several of his textbooks and review articles future research fields opened up (next section theory: toric varieties, Schubert calculus connections to representation theory and invariant theory, quantum cohomology ). 1995-1998 he was the Journal of the American Mathematical Society out.
In 1983 he was invited speaker at the International Congress of Mathematicians in Warsaw ( Some aspects of positivity in algebraic geometry ).
Writings
- Algebraic Curves: An Introduction To Algebraic Geometry, New York, Benjamin, 1969, Addison -Wesley, 1989, ISBN 0-201-51010-3.
- Introduction to Intersection Theory in Algebraic Geometry, Springer, results of mathematics and its applications, 1984, 1998, ISBN 978-0-387-98549-7.
- 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 1993.
- Algebraic Topology - A First Course, Springer, Graduate Texts in Mathematics in 1995.
- Young tableaux with applications to representation theory and geometry, Cambridge University Press, 1993.
- Riemann -Roch Algebra, Springer 1985.
- With Piotr Pragacz: Schubert Varieties and degeneracy loci, Lecture Notes in Mathematics (summer school Thurnau 1995), Springer, 1998.
- Eigenvalues , invariant factors, highest weights, and Schubert calculus, Bulletin Amer. Math Soc., Vol 37, 2000, pp. 209-249.
- With Pandharipande: Notes on stable mappings and quantum cohomology, 1997, Online.