Mathematical Institute, University of Utrecht
3584 CD Utrecht
|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
Parameterized Stability and the Universal Property of Global Spectra.
joint with Bastiaan Cnossen & Sil Linskens
preprint, 103 pages
Genuine vs. Naïve Symmetric Monoidal G-Categories.
preprint, 56 pages
Global Algebraic K-Theory is Swan K-Theory.
preprint, 53 pages
Categorical Models of Unstable G-Global Homotopy Theory.
preprint, 27 pages
G-Global Homotopy Theory and Algebraic K-Theory.
to appear in Mem. Amer. Math. Soc., v + 246 pages
On the Global Homotopy Theory of Symmetric Monoidal Categories.
preprint, 44 pages
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)
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 Schwede
Assistant for the lecture Topology I
taught by Daniel Kasprowski