Publications Teaching Algebraic topology group

Tobias Lenz

Mathematical Institute, University of Utrecht
Budapestlaan 6
3584 CD Utrecht
The Netherlands
Office 411
E-mail 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.

Publications and preprints

  1. Global Model Categories and Topological André-Quillen Cohomology.
    joint with Michael Stahlhauer
    preprint, 71 pages

  2. Parameterized Stability and the Universal Property of Global Spectra.
    joint with Bastiaan Cnossen & Sil Linskens
    preprint, 103 pages

  3. Genuine vs. Naïve Symmetric Monoidal G-Categories.
    preprint, 56 pages

  4. Global Algebraic K-Theory is Swan K-Theory.
    preprint, 53 pages

  5. Categorical Models of Unstable G-Global Homotopy Theory.
    preprint, 27 pages

  6. G-Global Homotopy Theory and Algebraic K-Theory.
    to appear in Mem. Amer. Math. Soc., v + 246 pages

  7. On the Global Homotopy Theory of Symmetric Monoidal Categories.
    preprint, 44 pages

  8. 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)

  9. 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)


University of Utrecht

Winter 2022/23
Summer 2023

I’m not teaching this term.

University of Bonn

Summer 2022

Winter 2021/22