nLab John Duskin

John Williford Duskin (1937-2020) was a category theorist from the North American School of Category Theory in the Buffalo group. He is often refered to as Jack Duskin.

• MathGenealogy page

• ResearchGate page

• Univ. Buffalo In Memoriam

Selected writings

On the Beck monadicity theorem:

• Jack Duskin, Variations on Beck’s tripleability criterion, in: Reports of the Midwest Category Seminar III, Lecture Notes in Mathematics 106, Springer (1969) [doi:10.1007/BFb0059143]

On monadic cohomology:

• John Duskin, Simplicial methods and the interpretation of “triple” cohomology“ Memoirs of the AMS 163, Amer. Math. Soc. (1975) [ISBN:978-1-4704-0645-5]

On nerves of bicategories:

• John Duskin, Simplicial matrices and the nerves of weak $n$-categories I: nerves of bicategories, Theory and Applications of Categories 9 10 (2002) 198–308 [tac:9-10]

On ordinary cohomology in toposes (abelian sheaf cohomology), higher gerbes and introducing the notion of hypergroupoids:

• John Duskin, Higher-dimensional torsors and the cohomology of topoi: the abelian theory, p. 255-279 in: Applications of sheaves, Lecture Notes in Mathematics 753, Springer (1979) [doi:10.1007/BFb0061822]

On descent theory:

• John Duskin, An outline of a theory of higher dimensional descent, Bull. de la Soc. Math. de Belgique 41 (1989) 249-277

On Azumaya complexes?:

• John W. Duskin, The Azumaya complex of a commutative ring, in: Categorical algebra and its applications, Lecture Notes in Math. 1348, Springer (1988) 107-117 [doi:10.1007/BFb0081352]

On cat-n-groups:

• Manuel Bullejos, Antonio M. Cegarra, John W. Duskin, On cat$^n$ -groups and homotopy types, J. Pure

  Appl. Alg. 86 (1993) 135-154 [doi:10.1016/0022-4049(93)90099-F]

On non-abelian cohomology in a topos:

• John W. Duskin, Non-abelian cohomology in a topos, Reprints in Theory and Applications of Categories 23 (2013) 1-165 [tac:tr23, pdf]

category: people