| 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.
Simplicial *-Modules and Mild Actions.
joint with Anna Marie Schröter
preprint, 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 vs. Naïve Symmetric Monoidal G-Categories.
preprint, 56 pages
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.
to appear in Cah. Topol. Géom. Différ. Catég., 42 pages
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
journal version (open access)
arXiv version (arXiv:2009.07004)
Parsummable Categories as a Strictification of Symmetric Monoidal Categories.
Theory Appl. Categ. 37 No. 17 (2021), pp. 482–529
journal version (open access)
arXiv version (arXiv:2006.15068)
Homotopy (Pre)Derivators of Cofibration Categories and Quasicategories.
Algebr. Geom. Topol. 18 No. 6 (2018), pp. 3601–3646
journal version (doi:10.2140/agt.2018.18.3601) arXiv version (arXiv:1712.07845)
Together with Christian Carrick and the colleagues from 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 Schwede
Assistant for the lecture Topology I
taught by Daniel Kasprowski