Publications Teaching Algebraic topology group

Tobias Lenz

Address
Mathematical Institute, University of Utrecht
Budapestlaan 6
3584 CD Utrecht
The Netherlands
Office 405
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 the corresponding refinements of algebraic K-theory. 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. Genuine vs. Naïve Symmetric Monoidal G-Categories.
    Preprint, 56 pages
    arXiv:2203.02277

  2. Global Algebraic K-Theory is Swan K-Theory.
    Preprint, 53 pages
    arXiv:2202.07272

  3. Categorical Models of Unstable G-Global Homotopy Theory.
    Preprint, 27 pages
    arXiv:2109.02067

  4. G-Global Homotopy Theory and Algebraic K-Theory.
    To appear in Mem. Amer. Math. Soc., v + 246 pages
    arXiv:2012.12676

  5. On the Global Homotopy Theory of Symmetric Monoidal Categories.
    Preprint, 44 pages
    arXiv:2009.07004

  6. 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)

  7. 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

University of Utrecht

Winter 2022/23

I’m not teaching this term.

University of Bonn

Summer 2022

Winter 2021/22