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, 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
Global Model Categories and Topological André-Quillen Cohomology.
joint with Michael Stahlhauer
preprint, 71 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.
to appear in Cah. Topol. Géom. Différ. Catég., 42 pages
G-Global Homotopy Theory and Algebraic K-Theory.
to appear in Mem. Amer. Math. Soc., v + 246 pages
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 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.