# 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.

## Contact

Institute of Mathematics

University of Bonn

Endenicher Allee 60

53115 Bonn, Germany

szumilo(at)math.uni-bonn.de

## Research

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*

- Young Topologists Meeting 2013 10 July 2013, Lausanne, Switzerland
- Samuel Eilenberg Centenary
Conference 25 July 2013, Warsaw, Poland

(Abstract, Slides)

## Seminar talks

*Cofibration categories and quasicategories*

- Category Theory Seminar 15 October 2013, McGill University, Montréal, Canada
- MIT Babytop Seminar 22 October 2013, MIT, Cambridge, MA
- Topology et al. Seminar 23 October 2013, Wesleyan University, Middletown, CT
- Topology Seminar 5 November 2013, University of Chicago, Chicago, IL
- Topology Seminar 7 November 2013, UIUC, Urbana–Champaign, IL
- Algebraic Topology Seminar 17 December 2013, University of Warsaw, Warsaw, Poland
- Topology Seminar 28 January 2014, University of Bonn, Bonn, Germany
- Algebra and Topology Seminar 4 February 2014, University of Strasbourg, Strasbourg, France

## Other

*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 Θ*_{n}-spaces

Geometry, Topology and Physics Seminar, University of Pittsburgh, 30 October – 1 November 2013, Pittsburgh, PA
_{n}-spaces

## News

Berufspraktisches Kolloquium im WS 2014/15

Hausdorff-Kolloquium im WS 2014/15

Toeplitz-Kolloquium zur "Didaktik und Geschichte der Mathematik" im WS

Vacancy Full Professorship (W3) in Pure Mathematics `Geometry' (Nov 30, 2014)

Vacancy Full Professorship (W3) in Pure Mathematics `Geometry and Analysis' (Nov 30, 2014)

Prof. Peter Scholze erhält den Clay Research Award 2014