My research concerns various aspects of homotopy theory, and I am particularly interested in questions relating to (parametrized) higher category theory, (global) equivariant homotopy theory, algebraic K-theory, and the interactions between these subjects.

Publications and preprints

1. Normed Equivariant Ring Spectra and Higher Tambara Functors
   joint with Bastiaan Cnossen, Rune Haugseng, and Sil Linskens
   preprint, 64 pages
   arXiv:2407.08399

2. Parametrized (Higher) Semiadditivity and the Universality of Spans
   joint with Bastiaan Cnossen and Sil Linskens
   preprint, 75 pages
   arXiv:2403.07676

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

4. The Adams Isomorphism Revisited
   joint with Bastiaan Cnossen and Sil Linskens
   Math. Z. 308 No. 2 (2024), Paper No. 33, 32 pages
   published version   arXiv:2311.04884

5. Simplicial *-Modules and Mild Actions
   joint with Anna Marie Schröter
   Homology Homotopy Appl. 26 No. 2 (2024), pp. 229–258
   published version  arXiv version (arXiv:2307.11002)

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

7. Global Model Categories and Topological André-Quillen Cohomology
   joint with Michael Stahlhauer
   to appear in Trans. Amer. Math. Soc., 79 pages
   arXiv:2302.06207

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

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

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

11. 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)

12. G-Global Homotopy Theory and Algebraic K-Theory
    to appear in Mem. Amer. Math. Soc., v + 246 pages
    arXiv:2012.12676  presentation (Junior Mathematician Research Archive)

13. 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)

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

15. 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)

Teaching

University of Bonn

Winter 2024/25

• Assistant for lecture Topology I
  taught by Stefan Schwede

• Assistant for lecture Einführung in die Algebra
  taught by Gebhard Martin

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