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.
Revisiting (∞, 2)-naturality of the Yoneda embedding
preprint, 5 pages
arXiv:2508.11526
Mackey functors and classical equivariant K-theory
preprint, 27 pages
arXiv:2508.11525
Universality of span 2-categories and the construction of 6-functor formalisms
joint with Bastiaan Cnossen and Sil Linskens
preprint, 57 pages
arXiv:2505.19192
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, 77 pages
arXiv:2403.07676
Homotopical commutative rings and bispans
joint with Bastiaan Cnossen, Rune Haugseng, and Sil Linskens
J. Lond. Math. Soc. 111 No. 6 (2025), ID e70200, 33 pages
published version
arXiv version (arXiv:2403.06911)
The Adams isomorphism revisited
joint with Bastiaan Cnossen and Sil Linskens
Math. Z. 308 No. 2 (2024), Paper No. 33, 32 pages
published version
arXiv 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
Trans. Amer. Math. Soc. (to appear in print), 62 pages
published version arXiv version (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 homotopy theory via spectral Mackey functors
preprint, 28 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 arXiv version (arXiv:1712.07845)
Graduate seminar Higher Algebra
with Stefan Schwede
Assistant for lecture Algebraic Topology I (lecturer: Stefan Schwede)
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)