Address |
Mathematical Institute, University of Utrecht Budapestlaan 6 3584 CD Utrecht The Netherlands |
---|---|

Office | 704 |

t.lenz (at) uu (dot) nl | |

I’m a postdoc (onderzoeker) in the algebraic topology group at the University of Utrecht, where my mentor is Ieke Moerdijk. Before that I was a postdoc at the University of Bonn, where I also obtained my PhD under the supervision of Stefan Schwede in 2021.

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.

**The Adams Isomorphism Revisited.**

joint with Bastiaan Cnossen and Sil Linskens

preprint, 29 pages

arXiv:2311.04884**Simplicial *-Modules and Mild Actions.**

joint with Anna Marie Schröter

to appear in*Homology Homotopy Appl.*, 27 pages

arXiv:2307.11002**Partial Parametrized Presentability and the Universal Property of Equivariant Spectra.**

joint with Bastiaan Cnossen and Sil Linskens

preprint, 56 pages

arXiv:2307.11001**Global Model Categories and Topological André-Quillen Cohomology.**

joint with Michael Stahlhauer

preprint, 71 pages

arXiv:2302.06207**Parametrized Stability and the Universal Property of Global Spectra.**

joint with Bastiaan Cnossen and Sil Linskens

preprint, 110 pages

arXiv:2301.08240**Genuine Versus Naïve Symmetric Monoidal***G*-Categories.

*Doc. Math.***28**No. 5 (2023), pp. 1079–1161

published version arXiv version (arXiv:2203.02277)**Global Algebraic***K*-Theory is Swan*K*-Theory.

preprint, 53 pages

arXiv:2202.07272**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)*G*-Global Homotopy Theory and Algebraic*K*-Theory.

to appear in*Mem. Amer. Math. Soc.*, v + 246 pages

arXiv:2012.12676**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)**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)**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)

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

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

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

~~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 SchwedeAssistant for the lecture Topology I

taught by Daniel Kasprowski