Denis-Charles Cisinski

Denis-Charles Cisinski is a mathematician focussing on higher category theory, homotopy theory, K-theory and algebraic geometry. Cisinski model structures on topoi were introduced and named after him. Since 2016, Denis-Charles Cisinski works at the Universität Regensburg.

Research

Denis-Charles Cisinski obtained his PhD in 2002 at the Paris Diderot University with a thesis supervised by Georges Maltsiniotis and titled Les préfaisceaux comme modèles des types d'homotopie (Presheaves as models for homotopy types). It was expanded and released as a book in 2006, further developing the theory from Pursuing Stacks by Alexander Grothendieck. In 2015, Denis-Charles Cisinski gave a talk at the Séminaire Nicolas Bourbaki titled Catégories supérieures et théorie des topos (Higher categories and theory of toposes).

Publications

• Denis-Charles Cisinski (2006), "Les préfaisceaux comme modèles des types d'homotopie" [Presheaves as models for homotopy types] (PDF), Astérisque, 308, ISBN 978-2-85629-225-9, MR 2294028
• Cisinski, Denis-Charles (2015). "Catégories supérieures et théorie des topos" (PDF).
• Cisinski, Denis-Charles (2019-06-30). Higher Categories and Homotopical Algebra (PDF). Cambridge University Press. ISBN 978-1108473200.{{cite book}}: CS1 maint: year (link)

External links

• Homepage
• Denis-Charles Cisinski on nLab