Karol Szumiło


I am a Ph.D. student in BIGS and, more specifically, in GRK 1150 "Homotopy and Cohomology" and IMPRS for Moduli Spaces. My supervisor is Stefan Schwede.


Institute of Mathematics
University of Bonn
Endenicher Allee 60
53115 Bonn, Germany



My present research interests are homotopy theory and higher category theory.

I am currently working on finishing my Ph.D. thesis. My main result is a comparison between certain notions of homotopical algebra and higher category theory. More precisely, I prove that the homotopy theory of cofibration categories is equivalent to the homotopy theory of cocomplete quasicategories.

The latest version of my thesis is available here.

Conference talks

Cofibration categories and quasicategories

Seminar talks

Cofibration categories and quasicategories


Exercise sessions to Stefan Schwede's lecture series on triangulated categories
Algebra, Topology and Fjords 3–11 June 2011, Nordfjordeid, Norway

Short course on homotopy colimits
Vernetzungstreffen GRK 1150 und GRK 1692 24–27 February 2013, Würzburg, Germany

Short course on Θn-spaces
Geometry, Topology and Physics Seminar, University of Pittsburgh, 30 October – 1 November 2013, Pittsburgh, PA