Office School of Mathematics 10.04 University of Leeds Email K.Szumilo@leeds.ac.uk

I am a postdoc at the School of Mathematics of University of Leeds. I am an algebraic topologist, especially interested in homotopy theory and higher category theory and their relationship to Homotopy Type Theory.

Publications and preprints

• Two Models for the Homotopy Theory of Cocomplete Homotopy Theories
  doctoral thesis under supervision of Stefan Schwede
  published online by University of Bonn
  an abridged version is available on arXiv (2014)
• Quasicategories of Frames of Cofibration Categories
  with Chris Kapulkin
  Applied Categorical Structures 25 (2017), no. 3, 323–347, available online
  preprint available on arXiv (2015)
• Homotopy Theory of Cofibration Categories
  revised Chapter 1 of my thesis
  Homology, Homotopy and Applications, vol. 18(2), 2016, pp.345–357,
  available online
• Frames in Cofibration Categories
  revised Chapter 3 of my thesis
  Journal of Homotopy and Related Structures, 2017, Volume 12, Issue 3, pp 577–616,
  available online
• Homotopy Theory of Cocomplete Quasicategories
  revised Chapters 2 and 4 of my thesis
  Algebraic & Geometric Topology 17 (2017) 765–791, available online
• Localization of Cofibration Categories and Groupoid C*-algebras
  with Markus Land and Thomas Nikolaus
  Algebraic & Geometric Topology 17 (2017) 3007–3020, available online
  preprint available on arXiv (2016)
• Internal Languages of Finitely Complete (∞,1)-categories
  with Chris Kapulkin
  Selecta Mathematica New Series (2019) 25: 33, available online
  preprint available on arXiv (2017)