Address |
Mathematisches Institut, Universität Bonn Endenicher Allee 60 53115 Bonn Germany |
---|---|
Office | 4.006 |
lenz (at) math (dot) uni-bonn (dot) de | |
I’m a postdoc (Akademischer Rat auf Zeit) in the topology group at the University of Bonn. Before that I was a postdoc at the University of Utrecht (2022–2024) and at the University of Bonn (2021–2022), 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 (parametrized) higher category theory, (global) equivariant homotopy theory, algebraic K-theory, and the interactions between these subjects.
Norms in Equivariant Homotopy Theory
joint with Sil Linskens and Phil Pützstück
preprint, 105 pages
arXiv:2503.02839
Universality of Barwick’s Unfurling Construction
joint with Bastiaan Cnossen and Maxime Ramzi
preprint, 15 pages
arXiv:2502.18278
Normed Equivariant Ring Spectra and Higher Tambara Functors
joint with Bastiaan Cnossen, Rune Haugseng, and Sil Linskens
preprint, 64 pages
arXiv:2407.08399
Parametrized (Higher) Semiadditivity and the Universality of Spans
joint with Bastiaan Cnossen and Sil Linskens
preprint, 75 pages
arXiv:2403.07676
Homotopical Commutative Rings and Bispans
joint with Bastiaan Cnossen, Rune Haugseng, and Sil Linskens
preprint, 34 pages
arXiv:2403.06911
The Adams Isomorphism Revisited
joint with Bastiaan Cnossen and Sil Linskens
Math. Z. 308 No. 2 (2024), Paper No. 33, 32 pp.
published version
arXiv:2311.04884
Simplicial *-Modules and Mild Actions
joint with Anna Marie Schröter
Homology Homotopy Appl. 26 No. 2 (2024), pp. 229–258
published version
arXiv version (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
to appear in Trans. Amer. Math. Soc., 79 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 Versus Naïve Symmetric Monoidal G-Categories
Doc. Math. 28 No. 5 (2023), pp. 1079–1161
published version
arXiv version (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
Cah. Topol. Géom. Différ. Catég. 64 No. 4 (2023), pp. 439–481
published version
arXiv version (arXiv:2109.02067)
G-Global Homotopy Theory and Algebraic K-Theory
Mem. Amer. Math. Soc. 306 No. 1545 (2025), v + 246 pp.
published version
arXiv version (arXiv:2012.12676)
On the Global Homotopy Theory of Symmetric Monoidal Categories
New York J. Math. 29 (2023), pp. 635–686
published version
arXiv version (arXiv:2009.07004)
Parsummable Categories as a Strictification of Symmetric Monoidal Categories
Theory Appl. Categ. 37 (2021), Paper No. 17, pp. 482–529
published version
arXiv version (arXiv:2006.15068)
Homotopy (Pre)Derivators of Cofibration Categories and Quasicategories
Algebr. Geom. Topol. 18 No. 6 (2018), pp. 3601–3646
published version (doi:10.2140/agt.2018.18.3601) arXiv version (arXiv:1712.07845)
Graduate seminar Lie Groups and Their Representations
with Jack Davies
Assistant for lecture Topology II (lecturer: Stefan Schwede)
Bachelor thesis seminar
joint with the rest of the topology group
Assistant for lecture Topology I (lecturer: Stefan Schwede)
Assistant for lecture Einführung in die Algebra (lecturer: Gebhard Martin)
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
Graduate seminar Lie Groups and Their Representations
with Stefan Schwede
Assistant for the lecture Topology I (lecturer: Daniel Kasprowski)