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Daniel G. Quillen

Daniel Quillen
Born (1940-06-22)June 22, 1940
Orange, New Jersey
Died April 30, 2011(2011-04-30) (aged 70)
Haven Hospice,North Florida
Nationality American
Fields Mathematics
Thesis Formal Properties of Over-Determined Systems of Linear Partial Differential Equations (1964)
Doctoral advisor Raoul Bott
Doctoral students Kenneth Brown
Influences Alexander Grothendieck
Jean-Pierre Serre
Notable awards Fields Medal (1978)
Cole Prize (1975)
Putnam Fellow (1959)

Daniel Gray "Dan" Quillen (June 22, 1940 – April 30, 2011) was an American mathematician.

From 1984 to 2006, he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.

Quillen was born in Orange, New Jersey, and attended Newark Academy. He entered Harvard University, where he earned both his AB, in 1961, and his PhD in 1964; the latter completed under the supervision of Raoul Bott, with a thesis in partial differential equations. He was a Putnam Fellow in 1959.

Quillen obtained a position at the Massachusetts Institute of Technology after completing his doctorate. However, he also spent a number of years at several other universities, including the University of Chicago as a Dickson instructor. He visited France twice: first as a Sloan Fellow in Paris, during the academic year 1968–69, where he was greatly influenced by Grothendieck, and then, during 1973–74, as a Guggenheim Fellow. In 1969–70, he was a visiting member of the Institute for Advanced Study in Princeton, where he came under the influence of Michael Atiyah. In 1978, Quillen received a Fields Medal at the International Congress of Mathematicians held in Helsinki.


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