nLab Daniel Dugger

Daniel K. Dugger is a professor of mathematics at the University of Oregon. He got his PhD in 1999 at MIT, advised by Michael J. Hopkins.

• website

Related $n$Lab entries

• model structure on simplicial presheaves

• descent for simplicial presheaves

• combinatorial model category

Selected writings

• Universal Homotopy Theories

• Combinatorial model categories have presentations

• Sheaves and homotopy theory, pdf.

On hypercovers in simplicial presheaves:

• Daniel Dugger, Sharon Hollander, Daniel Isaksen, Hypercovers and simplicial presheaves, Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 136. No. 1., 2004. (arXiv:0205027, K-theory archive)

On Delta-generated spaces:

• Daniel Dugger, Notes on Delta-generated spaces, 2003 (web, pdf)

On (∞,1)-categorical hom-spaces in terms of quasi-categories:

• Dan Dugger, David Spivak, Mapping spaces in quasi-categories, Algebraic & Geometric Topology 11 (2011) 263–325 (arXiv:0911.0469, doi:10.2140/agt.2011.11.263)

On Cayley-Dickson algebras:

• Daniel K. Biss, Daniel Dugger, Daniel Isaksen, Large annihilators in Cayley-Dickson algebras, Communications in Algebra 36 (2), 632-664, 2008 (arxiv:math/0511691)

• Daniel K. Biss, Daniel Christensen, Daniel Dugger, Daniel Isaksen, Large annihilators in Cayley-Dickson algebras II, Boletin de la Sociedad Matematica Mexicana (3) 13(2) (2007), 269-292 (arxiv:math/0702075)

• Daniel K. Biss, Daniel Christensen, Daniel Dugger, Daniel Isaksen, Eigentheory of Cayley-Dickson algebras, Forum Mathematicum 21(5) (2009), 833-851 (arxiv:0905.2987)

On model categories of spectra:

• Daniel Dugger, Stable categories and spectra via model categories (pdf), in: Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill (eds.), Stable categories and structured ring spectra, MSRI Book Series, Cambridge University Press

category: people