Algebraic K-theory (Quillen's Q-construction), Quillen–Suslin theorem, Bass–Quillen conjecture, rational homotopy theory, Quillen determinant line bundle, Mathai–Quillen formalism, Quillen's lemma, Quillen metric, Quillen's theorems A and B
Awards
Fields Medal (1978) Cole Prize (1975) Putnam Fellow (1959)
Scientific career
Fields
Mathematics
Thesis
Formal Properties of Over-Determined Systems of Linear Partial Differential Equations (1964)
Doctoral advisor
Raoul Bott
Doctoral students
Kenneth Brown Varghese Mathai
Daniel Gray Quillen (June 22, 1940 – April 30, 2011) was an American mathematician. 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.
From 1984 to 2006, he was the Waynflete Professor of Pure Mathematics at Magdalen College, Oxford.
Daniel Gray Quillen (June 22, 1940 – April 30, 2011) was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory...
Quillen is a surname of Irish origin. It could refer to: DanielQuillen, a mathematician Jimmy Quillen, a former member of the United States House of Representatives...
manuscript by Alexander Grothendieck. It consists of a 12-page letter to DanielQuillen followed by about 600 pages of research notes. The topic of the work...
most influential contribution is the Mathai–Quillen formalism, which he formulated together with DanielQuillen, and which has since found applications in...
Bott had 35 PhD students, including Stephen Smale, Lawrence Conlon, DanielQuillen, Peter Landweber, Robert MacPherson, Robert W. Brooks, Robin Forman...
construction. Quillen adjunctions are named in honor of the mathematician DanielQuillen. Given two closed model categories C and D, a Quillen adjunction...
geometry, the Quillen metric is a metric on the determinant line bundle of a family of operators. It was introduced by DanielQuillen for certain elliptic...
of the Quillen–Suslin theorem, a result in commutative algebra, first conjectured by Jean-Pierre Serre in 1955, and then proved by DanielQuillen and Andrei...
construction was introduced by Michel Kervaire (1969), and was used by DanielQuillen to define algebraic K-theory. Given a perfect normal subgroup of the...
Perelman Henri Poincaré Lev Pontryagin Nicolae Popescu Mikhail Postnikov DanielQuillen Jean-Pierre Serre Isadore Singer Stephen Smale Edwin Spanier Norman...
Jean-Luc Brylinski, Mariusz Wodzicki, Jean-Louis Loday, Victor Nistor, DanielQuillen, Joachim Cuntz, Ryszard Nest, Ralf Meyer, and Michael Puschnigg. The...
category equipped with short exact sequences. The concept is due to DanielQuillen and is designed to encapsulate the properties of short exact sequences...
Concise Encyclopedia of Mathematics. CRC Press. p. 65. ISBN 9781420035223. Daniel Frohardt and Kay Magaard, Composition Factors of Monodromy Groups, Annals...
Dixon 1947–1960 J. H. C. Whitehead 1960–1984 Graham Higman 1984–2006 DanielQuillen 2007–2013 Raphaël Rouquier 2013– Ben Green "Oxford University Gazette"...
manuscript entitled Pursuing Stacks. It began with a letter addressed to DanielQuillen. This letter and successive parts were distributed from Bangor (see...
Lie algebra, using the Whitehead product. In a related construction, DanielQuillen used differential graded Lie algebras over the rational numbers Q {\displaystyle...
is a monomorphism of simplicial sets. It is a difficult theorem of DanielQuillen that the category of simplicial sets with these classes of morphisms...
(1931–2020), mathematician specialized in combinatorics and coding theory DanielQuillen (1940–2011) Charles Reason (1818–1893) Jeffrey B. Remmel (1948–2017)...
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