nLab Denis-Charles Cisinski

• website

• Wikipedia entry

• Denis-Charles Cisinski, Catégories supérieures et théorie des topos, Séminaire Bourbaki, 2015-03-21, pdf.

Selected writings

On (∞,1)-category theory and homotopical algebra:

• Denis-Charles Cisinski, Faisceaux localement asphériques (2003) [pdf, pdf]

• Denis-Charles Cisinski, Les préfaisceaux comme modèles des types d’homotopie, Astérisque 308, 2006 (doi:10.24033/ast.715, NUMDAM)

• Denis-Charles Cisinski, Higher categories and homotopical algebra, Cambridge University Press, 2019 (doi:10.1017/9781108588737, pdf)

• Denis-Charles Cisinski, Bastiaan Cnossen, Hoang Kim Nguyen, Tashi Walde, Formalization of Higher Categories, work in progress (2025) [pdf]

On triangulated categories of mixed motives and their yoga of six functors:

• Denis-Charles Cisinski, Frédéric Déglise, Triangulated categories of mixed motives, Springer Monographs in Mathematics, Springer (2019) [arXiv:0912.2110, doi:10.1007/978-3-030-33242-6]

and the relevant model structures on chain complexes:

• Denis-Charles Cisinski, Frédéric Déglise, Local and stable homological algebra in Grothendieck abelian categories, Homology, Homotopy and Applications 11 1 (2009) 219–260 [arXiv:0712.3296, hha:1251832567]

On the (infinity,1)-Grothendieck construction via straightening and unstraightening entirely within the context of quasi-categories:

• Denis-Charles Cisinski, Hoang Kim Nguyen, The universal coCartesian fibration [arXiv:2210.08945]

Related $n$Lab entries

• test category, test topos

• derivator

• Cisinski model structure

• motives

  • mixed motives
  • category of motives
  • motivic homotopy theory
  • motivic cohomology
  • algebraic K-theory
  • noncommutative motives

• (∞,1)-operads

  • model structure on dendroidal sets

• homotopy groups in an (∞,1)-topos

• univalence axiom

category: people