Mathematician:Daniel Gray Quillen
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Mathematician
American mathematician mainly working in the field of algebraic topology.
Fields Medal
Daniel Gray Quillen was awarded a Fields Medal in $\text {1978}$ at the International Congress of Mathematicians in Vancouver, British Columbia, Canada:
- The prime architect of the higher algebraic $K$-theory, a new tool that successfully employed geometric and topological methods and ideas to formulate and solve major problems in algebra, particularly ring theory and module theory.
Nationality
American
History
- Born: 27 June 1940, Orange, New Jersey, USA
- Died: 30 April 2011, Gainsville, Florida, USA
Theorems and Definitions
- Quillen's Q-Construction
- Quillen-Suslin Theorem (with Andrei Suslin) (also known as Serre's Conjecture or Serre's Problem for Jean-Pierre Serre)
Publications
- Homology of commutative rings (unpublished notes)
- 1967: Homotopical algebra
- 1969: On the formal group laws of unoriented and complex cobordism theory (Bull. Amer. Math. Soc Vol. 75: pp. 1293 – 1298)
Mathematical Reviews (MathSciNet): 0253350 - 1969: Rational homotopy theory (Ann. Math. Vol. 90: pp. 205 – 295)
- 1971: The Adams conjecture (Topology Vol. 10: pp. 67 – 80)
- 1971: The spectrum of an equivariant cohomology ring. I (Ann. Math. Vol. 94: pp. 549 – 572)
- 1971: The spectrum of an equivariant cohomology ring. II (Ann. Math. Vol. 94: pp. 573 – 602)
Mathematical Reviews (MathSciNet): 0298694 - 1972: Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash.)
- 1974: Higher K-theory for categories with exact sequences (in New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972))
- 1975: Higher algebraic K-theory (in Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1) (in which Quillen's Q-Construction appears)
- 1976: Projective modules over polynomial rings (Inventiones Mathematicae Vol. 36: pp. 167 – 171)
- 1985: Superconnections and the Chern character (Topology Vol. 24: pp. 89 – 95)
Mathematical Reviews (MathSciNet): 790678
Sources
- John J. O'Connor and Edmund F. Robertson: "Daniel Gray Quillen": MacTutor History of Mathematics archive
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Quillen, Daniel Gray (1940-2011)