|Alma mater||Princeton University|
|Awards||Leroy P. Steele Prize (2010)|
|Institutions|| University of Michigan |
University of Chicago
|Doctoral advisor||Gerard Washnitzer|
|Other academic advisors|| John Milnor |
John Coleman Moore
|Doctoral students||Robert Lazarsfeld|
William Edgar Fulton (born August 29, 1939) is an American mathematician, specializing in algebraic geometry.
He received his undergraduate degree from Brown University in 1961 and his doctorate from Princeton University in 1966. His Ph.D. thesis, written under the supervision of Gerard Washnitzer, was on The fundamental group of an algebraic curve.
Fulton worked at Princeton and Brandeis University from 1965 until 1970, when he began teaching at Brown. In 1987 he moved to the University of Chicago.He is, as of 2011, a professor at the University of Michigan.
Fulton is known as the author or coauthor of a number of popular texts, including Algebraic Curves and Representation Theory.
In 1996 he received the Steele Prize for mathematical exposition for his text Intersection Theory.Fulton is a member of the U. S. National Academy of Sciences and was elected a foreign member of the Royal Swedish Academy of Sciences in 2000. In 2010, he was awarded the Steele Prize for Lifetime Achievement. In 2012 he became a fellow of the American Mathematical Society.
John Willard Milnor is an American mathematician known for his work in differential topology, K-theory and dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the five mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize
John Torrence Tate Jr. was an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
Oscar Zariski was a Russian-born American mathematician and one of the most influential algebraic geometers of the 20th century.
David Bryant Mumford is an American mathematician known for distinguished work in algebraic geometry, and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Kunihiko Kodaira was a Japanese mathematician known for distinguished work in algebraic geometry and the theory of complex manifolds, and as the founder of the Japanese school of algebraic geometers. He was awarded a Fields Medal in 1954, being the first Japanese national to receive this honour.
Serge Lang was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group.
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.
Joseph Daniel Harris is a mathematician at Harvard University working in the field of algebraic geometry. After earning an AB from Harvard College, he continued at Harvard to study for a PhD under Phillip Griffiths.
David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and was Director of the Mathematical Sciences Research Institute (MSRI) from 1997 to 2007. He was reappointed to this office in 2013, and his term has been extended until July 31, 2022.
Phillip Augustus Griffiths IV is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory. He also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner on Exterior Differential Systems.
The Morgan Prize is an annual award given to an undergraduate student in the US, Canada, or Mexico who demonstrates superior mathematics research. The $1,200 award, endowed by Mrs. Frank Morgan of Allentown, Pennsylvania, was founded in 1995. The award is made jointly by the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. The Morgan Prize has been described as the highest honor given to an undergraduate in mathematics.
Robin Cope Hartshorne is an American mathematician who is known for his work in algebraic geometry.
Dennis Parnell Sullivan is an American mathematician. He is known for work in topology, both algebraic and geometric, and on dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center, and is a professor at Stony Brook University.
Anthony W. Knapp is an American mathematician at the State University of New York, Stony Brook working on representation theory, who classified the tempered representations of a semisimple Lie group.
János Kollár is a Hungarian mathematician, specializing in algebraic geometry.
Spencer Janney Bloch is an American mathematician known for his contributions to algebraic geometry and algebraic K-theory. Bloch is a R. M. Hutchins Distinguished Service Professor Emeritus in the Department of Mathematics of the University of Chicago. He is a member of the U.S. National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences and of the American Mathematical Society. At the International Congress of Mathematicians he gave an invited lecture in 1978 and a plenary lecture in 1990. He was a visiting scholar at the Institute for Advanced Study in 1981-82. He received a Humboldt Prize in 1996. He also received a 2021 Leroy P. Steele Prize for Lifetime Achievement.
Robert Kendall Lazarsfeld is an American mathematician, currently a professor at Stony Brook University. He was previously the Raymond L Wilder Collegiate Professor of Mathematics at the University of Michigan. He is the son of sociologist Paul Lazarsfeld. His research focuses on algebraic geometry.
Jonathan Micah Rosenberg is an American mathematician, working in algebraic topology, operator algebras, K-theory and representation theory, with applications to string theory in physics.
Eric Mark Friedlander is an American mathematician who is working in algebraic topology, algebraic geometry, algebraic K-theory and representation theory.
In algebraic geometry, a correspondence between algebraic varieties V and W is a subset R of V×W, that is closed in the Zariski topology. In set theory, a subset of a Cartesian product of two sets is called a binary relation or correspondence; thus, a correspondence here is a relation that is defined by algebraic equations. There are some important examples, even when V and W are algebraic curves: for example the Hecke operators of modular form theory may be considered as correspondences of modular curves.