nLab J. Daniel Christensen

Dan Christensen is a mathematician at the University of Western Ontario.

• website

Selected writings

On model structures on chain complexes in homological algebra:

• Dan Christensen, Mark Hovey, Quillen model structures for relative homological algebra, Math. Proc. Cambridge Philos. Soc. 133 2 (2002) 261-293 [arXiv:math/0011216, doi:10.1017/S0305004102006126]

On Cayley-Dickson algebras:

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

On the D-topology on diffeological spaces:

• J. Daniel Christensen, Gord Sinnamon, Enxin Wu, The $D$-topology for diffeological spaces, Pacific Journal of Mathematics 272 (1), 87-110, 2014 (arXiv:1302.2935, doi:10.2140/pjm.2014.272.87)

On the homotopy theory of diffeological spaces via their cohesive shape:

• J. Daniel Christensen, Enxin Wu, The homotopy theory of diffeological spaces, New York J. Math. 20

  (2014), 1269-1303 (arXiv:1311.6394)

On localization (in algebraic topology) formulated in modal homotopy type theory:

• J. Daniel Christensen, Morgan Opie, Egbert Rijke, Luis Scoccola, Localization in Homotopy Type Theory, Higher Structures, 4(1) (2020), 1-32 (arXiv:1807.04155)

Proof of the Hurewicz theorem in homotopy type theory, hence in general (∞,1)-toposes:

• J. Daniel Christensen, Luis Scoccola, The Hurewicz theorem in Homotopy Type Theory (arXiv:2007.05833)

On modal homotopy type theory:

• J. Daniel Christensen, Egbert Rijke, Characterizations of modalities and lex modalities (arXiv:2008.03538)

On delooping, H-spaces and Eilenberg-MacLane spaces in homotopy type theory:

• Ulrik Buchholtz, J. Daniel Christensen, Jarl G. Taxerås Flaten, Egbert Rijke, Central H-spaces and banded types [arXiv:2301.02636]

Related $n$Lab entries

• model category

• model structure on chain complexes

category: people