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: Daniel Quillen, 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 Daniel Quillen followed by about 600 pages of research notes. The topic of the work...

and Daniel Quillen) is also often stated as a relation between the sphere spectrum and the classifying spaces of the symmetric groups via Quillen's plus...

The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra concerning the relationship between...

André (1974) and Daniel Quillen (1970) using methods of homotopy theory. It comes with a parallel homology theory called André–Quillen homology. Let A...

definition of the higher K-groups of rings was a difficult achievement of Daniel Quillen, and many of the basic facts about the higher K-groups of algebraic...

Bott had 35 PhD students, including Stephen Smale, Lawrence Conlon, Daniel Quillen, Peter Landweber, Robert MacPherson, Robert W. Brooks, Robin Forman...

construction was introduced by Michel Kervaire (1969), and was used by Daniel Quillen to define algebraic K-theory. Given a perfect normal subgroup of the...

Messing, Emmy Murphy, John Forbes Nash Jr., Irena Peeva, Daniel Quillen, Douglas Ravenel, Daniel G. Rider, Walter Rudin, Robert Rumely, James Serrin, William...

Lie algebras, the most common of which are due to Jacques Dixmier and Daniel Quillen. Representation theory is the study of homomorphisms from a group, G...

Quillen's Q-construction in algebraic K-theory and are named after Daniel Quillen. The precise statements of the theorems are as follows. Quillen's Theorem...

category equipped with short exact sequences. The concept is due to Daniel Quillen and is designed to encapsulate the properties of short exact sequences...

most influential contribution is the Mathai–Quillen formalism, which he formulated together with Daniel Quillen, and which has since found applications in...

topology. The chair was held from 1984 until he retired in 2006 by Daniel Quillen, who received the Fields Medal for his work in algebraic K-theory. It...

Perelman Henri Poincaré Lev Pontryagin Nicolae Popescu Mikhail Postnikov Daniel Quillen Jean-Pierre Serre Isadore Singer Stephen Smale Edwin Spanier Norman...

compute. For a finite field, the complete calculation was given by Daniel Quillen. The map sending a finite-dimensional F-vector space to its dimension...

A[t_{1},\dots ,t_{n}]}. The conjecture is named for Hyman Bass and Daniel Quillen, who formulated the conjecture. The conjecture is a statement about...

conjecture (1963) which was finally resolved in the affirmative by Daniel Quillen (1971). Bott's original results may be succinctly summarized in: Corollary:...

construction. Quillen adjunctions are named in honor of the mathematician Daniel Quillen. 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 Daniel Quillen for certain elliptic...

Concise Encyclopedia of Mathematics. CRC Press. p. 65. ISBN 9781420035223. Daniel Frohardt and Kay Magaard, Composition Factors of Monodromy Groups, Annals...

manuscript entitled Pursuing Stacks. It began with a letter addressed to Daniel Quillen. This letter and successive parts were distributed from Bangor (see...

of the Quillen–Suslin theorem, a result in commutative algebra, first conjectured by Jean-Pierre Serre in 1955, and then proved by Daniel Quillen and Andrei...

Dixon 1947–1960 J. H. C. Whitehead 1960–1984 Graham Higman 1984–2006 Daniel Quillen 2007–2013 Raphaël Rouquier 2013– Ben Green "Oxford University Gazette"...

Lie algebra, using the Whitehead product. In a related construction, Daniel Quillen used differential graded Lie algebras over the rational numbers Q{\displaystyle...

Retrieved 16 March 2015. Friedlander, Eric; Grayson, Daniel (November 2012). "Daniel Quillen" (PDF). Notices of the AMS. 59 (10): 1392–1406. doi:10...

attended Oxford University Four Oxford mathematicians, Michael Atiyah, Daniel Quillen, Simon Donaldson and James Maynard, have won Fields Medals, often called...

administrator who was the twelfth president of West Virginia State University Daniel Quillen (1940–2011), mathematician known for being the "prime architect" of...

Academy at West Point, New York." Friedlander, Eric; and Grayson, Daniel. "Daniel Quillen", Notices of the American Mathematical Society, Volume 59, Number...