Mathematician:Daniel Gray Quillen

From ProofWiki
Jump to navigation Jump to search

Mathematician

American mathematician mainly working in the field of algebraic topology.


Nationality

American


History

  • Born: 27 June 1940, Orange, New Jersey, USA
  • Died: 30 April 2011, Gainsville, Florida, USA


Theorems and Definitions


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  • Homology of commutative rings (unpublished notes)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: 1293 – 1298)
    Mathematical Reviews (MathSciNet): 0253350
  • 1969: Rational homotopy theory (Ann. Math. Vol. 90: 205 – 295)
  • 1971: The Adams conjecture (Topology Vol. 10: 67 – 80)
  • 1971: The spectrum of an equivariant cohomology ring. I (Ann. Math. Vol. 94: 549 – 572)
  • 1971: The spectrum of an equivariant cohomology ring. II (Ann. Math. Vol. 94: 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: 167 – 171)
  • 1985: Superconnections and the Chern character (Topology Vol. 24: 89 – 95)
    Mathematical Reviews (MathSciNet): 790678


Sources