nLab Daniel Quillen

• wikipedia entry

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

Related $n$Lab entries

• model category, model structure on topological spaces

• Quillen's theorems

• algebraic K-theory

• quasi-free algebra

• cotangent complex

• Andre-Quillen cohomology

• Quillen-Lichtenbaum conjecture

• complex cobordism

• formal group law

• and much much more….

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)

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 Friedlander, Barry Mazur, Filtrations on the homology of algebraic varieties, Memoir of the A.M.S., Vol. 110, no. 529 (1994) (doi:10.1090/memo/0529, pdf)

category: people