University of Warsaw Faculty of Mathematics, Informatics and Mechanics Room 5430   kszSOMETHINGumilo@ANYTHINGmimuwNOTHING.edu.pl

I am an assistant professor at the Faculty of Mathematics, Informatics and Mechanics of University of Warsaw.
I am an algebraic topologist, especially interested in homotopy theory and higher category 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)
• Homotopy Theory of Cofibration Categories
  revised Chapter 1 of my thesis
  Homology, Homotopy and Applications, vol. 18(2), 345–357 (2016), available online
• Frames in Cofibration Categories
  revised Chapter 3 of my thesis
  Journal of Homotopy and Related Structures, Volume 12, Issue 3, 577–616 (2017), available online
• Homotopy Theory of Cocomplete Quasicategories
  revised Chapters 2 and 4 of my thesis
  Algebraic & Geometric Topology 17, 765–791 (2017), available online
• Quasicategories of Frames of Cofibration Categories
  with Chris Kapulkin
  Applied Categorical Structures 25, no. 3, 323–347 (2017), available online
  preprint available on arXiv (2015)
• Localization of Cofibration Categories and Groupoid C*-algebras
  with Markus Land and Thomas Nikolaus
  Algebraic & Geometric Topology 17, 3007–3020 (2017), available online
  preprint available on arXiv (2016)
• Internal Language of Finitely Complete (∞,1)-categories
  with Chris Kapulkin
  Selecta Mathematica, New Series 25, 33 (2019), available online
  preprint available on arXiv (2017)
• The Constructive Kan—Quillen Model Structure: Two New Proofs
  with Nicola Gambino and Christian Sattler
  The Quarterly Journal of Mathematics, Volume 73, Issue 4, 1307–1373 (2022), available online
  preprint available on arXiv (2019)
• The Effective Model Structure and ∞-groupoid Objects
  with Nicola Gambino, Simon Henry and Christian Sattler
  Forum of Mathematics, Sigma, 10, E34 (2022), available online
  preprint available on arXiv (2021)