My research concerns various aspects of homotopy theory, and I am particularly interested in questions relating to (global) equivariant homotopy theory, algebraic K-theory, (parametrized) higher category theory, and the interactions between these subjects. You can find an overview about some of the work I did before 2021 in this video I contributed to the Junior Mathematician Research Archive.

Publications and preprints

1. Parametrized Higher Semiadditivity and the Universality of Spans.
   joint with Bastiaan Cnossen and Sil Linskens
   preprint, 70 pages
   arXiv:2403.07676

2. Homotopical Commutative Rings and Bispans.
   joint with Bastiaan Cnossen, Rune Haugseng, and Sil Linskens
   preprint, 34 pages
   arXiv:2403.06911

3. The Adams Isomorphism Revisited.
   joint with Bastiaan Cnossen and Sil Linskens
   preprint, 29 pages
   arXiv:2311.04884

4. Simplicial *-Modules and Mild Actions.
   joint with Anna Marie Schröter
   to appear in Homology Homotopy Appl., 27 pages
   arXiv:2307.11002

5. Partial Parametrized Presentability and the Universal Property of Equivariant Spectra.
   joint with Bastiaan Cnossen and Sil Linskens
   preprint, 56 pages
   arXiv:2307.11001

6. Global Model Categories and Topological André-Quillen Cohomology.
   joint with Michael Stahlhauer
   preprint, 71 pages
   arXiv:2302.06207

7. Parametrized Stability and the Universal Property of Global Spectra.
   joint with Bastiaan Cnossen and Sil Linskens
   preprint, 110 pages
   arXiv:2301.08240

8. Genuine Versus Naïve Symmetric Monoidal G-Categories.
   Doc. Math. 28 No. 5 (2023), pp. 1079–1161
   published version   arXiv version (arXiv:2203.02277)

9. Global Algebraic K-Theory is Swan K-Theory.
   preprint, 53 pages
   arXiv:2202.07272

10. Categorical Models of Unstable G-Global Homotopy Theory.
    Cah. Topol. Géom. Différ. Catég. 64 No. 4 (2023), pp. 439–481
    published version   arXiv version (arXiv:2109.02067)

11. G-Global Homotopy Theory and Algebraic K-Theory.
    to appear in Mem. Amer. Math. Soc., v + 246 pages
    arXiv:2012.12676

12. On the Global Homotopy Theory of Symmetric Monoidal Categories.
    New York J. Math. 29 (2023), pp. 635–686
    published version   arXiv version (arXiv:2009.07004)

13. Parsummable Categories as a Strictification of Symmetric Monoidal Categories.
    Theory Appl. Categ. 37 No. 17 (2021), pp. 482–529
    published version   arXiv version (arXiv:2006.15068)

14. Homotopy (Pre)Derivators of Cofibration Categories and Quasicategories.
    Algebr. Geom. Topol. 18 No. 6 (2018), pp. 3601–3646
    published version (doi:10.2140/agt.2018.18.3601)  arXiv version (arXiv:1712.07845)

Seminar organization

Together with Christian Carrick and the colleagues from Amsterdam and Nijmegen I’m organizing the current iteration of the Topology Intercity Seminar (TopICS).

Teaching

University of Utrecht

Fall 2023

• Lecture course Bewijzen in de Wiskunde (Proofs in Mathematics)
  with Johan Commelin, Mireia Martínez i Sellarès, Lennart Meier, Guido Terra-Bleeker, and Marieke van der Wegen

University of Bonn

Summer 2022

• Lecture course Selected Topics in Topology: Homotopy Coherent Algebraic Structures

• Seminar Topologische Anwendungen algebraischer K-Theorie (Applications of Algebraic K-Theory in Topology)
  with Stefan Schwede

Winter 2021/22

• Together with Stefan Schwede I offer two topics for bachelor theses in the upcoming summer term. You can find more information about them in these slides. Both of these topics have been taken now.

• Graduate Seminar Lie Groups and Their Representations
  with Stefan Schwede

• Assistant for the lecture Topology I
  taught by Daniel Kasprowski