Tobias Lenz
Address |
Mathematisches Institut Rheinische Friedrich-Wilhelms-Universität Bonn Endenicher Allee 60 53115 Bonn Germany |
---|---|
Room | 4.009 |
lenz (at) math (dot) uni-bonn (dot) de | |
I'm a postdoc (Wissenschaftlicher Mitarbeiter) in the topology group at the University of Bonn, where I was a PhD student of Stefan Schwede before. My research concerns equivariant and global homotopy theory, with a particular focus on equivariant refinements of algebraic K-theory. You can find an overview about some of my work in this video I contributed to the Junior Mathematician Research Archive.
Publications and preprints
Genuine vs. Naïve Symmetric Monoidal G-Categories.
Preprint, 56 pages
arXiv:2203.02277Global Algebraic K-Theory is Swan K-Theory.
Preprint, 53 pages
arXiv:2202.07272Categorical Models of Unstable G-Global Homotopy Theory.
Preprint, 27 pages
arXiv:2109.02067G-Global Homotopy Theory and Algebraic K-Theory.
To appear in Mem. Amer. Math. Soc., v + 246 pages
arXiv:2012.12676On the Global Homotopy Theory of Symmetric Monoidal Categories.
Preprint, 44 pages
arXiv:2009.07004Parsummable 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)
Teaching
Summer 2022
Lecture course Selected Topics in Topology: Homotopy Coherent Algebraic Structures
Hauptseminar Topologische Anwendungen algebraischer K-Theorie
mit Stefan Schwede
Winter 2021/22
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
News
Gerd Faltings elected member of the Order Pour le Mérite
Geordie Williamson receives the Max Planck-Humboldt Research Award 2024
ERC Starting Grant for Markus Hausmann
EMS Prize 2024 for Jessica Fintzen
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society