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

Office | 411 |

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 for one year, where I also obtained my PhD under the supervision of
Stefan Schwede in 2021.

My research concerns equivariant and global homotopy theory, with a particular
focus on equivariant infinite loop space theory and surrounding topics like
(global) equivariant algebraic *K*-theory and parameterized semiadditivity.
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.

**Global Model Categories and Topological André-Quillen Cohomology.**

joint with Michael Stahlhauer

preprint, 71 pages

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

joint with Bastiaan Cnossen & Sil Linskens

preprint, 103 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.

preprint, 27 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.**

preprint, 44 pages

arXiv:2009.07004**Parsummable Categories as a Strictification of Symmetric Monoidal Categories.**

*Theory Appl. Categ.***37**No. 17 (2021), pp. 482–529

journal link (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 link (DOI:10.2140/agt.2018.18.3601) arXiv version (arXiv:1712.07845)

Summer 2023

I’m not teaching this term.

Lecture course Selected Topics in Topology: Homotopy Coherent Algebraic Structures

Hauptseminar Topologische Anwendungen algebraischer

*K*-Theorie

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

joint with Stefan SchwedeAssistant for the lecture Topology I

taught by Daniel Kasprowski