nLab Daniel Quillen

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wikipedia entry
Scanned images of Quillen’s research notebooks, Clay Mathematical Institute, web.

Selected writings

Introducing model category-theory for homotopy theory:

Daniel Quillen, Homotopical algebra, Lecture Notes in Mathematics 43, Springer-Verlag 1967, iv+156 pp (doi:10.1007/BFb0097438).

On rational homotopy theory:

Dan Quillen, Rational homotopy theory, The Annals of Mathematics, Second Series, Vol. 90, No. 2 (Sep., 1969), pp. 205-295 (JSTOR, pdf)

Proof that topological realization takes Kan fibrations to Serre fibrations:

Daniel Quillen, The geometric realization of a Kan fibration is a Serre fibration, Proc. AMS 19 (1968) 1499-1500 [doi:1968-019-06/S0002-9939-1968-0238322-1, pdf]

On the (co)homology of commutative algebras:

D. G. Quillen, 1970, On the (co-)homology of commutative rings, in Proc. Symp. on Categorical Algebra, 65–87, American Math. Soc.

On cobordism cohomology theory:

Daniel Quillen, Elementary Proofs of Some Results of Cobordism Theory Using Steenrod Operations, Advances in Mathematics 7 (1971), 29–56 (doi:10.1016/0001-8708(71)90041-7)

On equivariant de Rham cohomology:

Varghese Mathai, Daniel Quillen, Superconnections, Thom classes and equivariant differential forms, Topology 25, 85 (1986) (doi:10.1016/0040-9383(86)90007-8)

Also

J. Cuntz, Daniel Quillen, Algebra extensions and nonsingularity, J. Amer. Math. Soc. 8 (1995), no. 2, 251–289, MR96c:19002, doi; Cyclic homology and nonsingularity, J. Amer. Math. Soc. 8 (1995), no. 2, 373–442, MR96e:19004, doi

On the group completion theorem:

Daniel Quillen: On the group completion of a simplicial monoid, Appendix Q in: Eric M. Friedlander, Barry Mazur: Filtrations on the homology of algebraic varieties, Memoirs of the AMS 529 110 (1994) 89-105 [doi:10.1090/memo/0529, pdf]

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category: people

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