Tommy Lundemo

I am a postdoc in the topology group in Wuppertal. I obtained my PhD from Radboud University Nijmegen in August 2022. My advisor was Steffen Sagave.

My interests include homotopy theory, derived algebraic geometry, prismatic cohomology, and algebraic K-theory. A recurring theme in my work is the use of log geometry in these contexts.

Papers

Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
joint with Binda, Merici, and Park. (arXiv | submitted)
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems.
joint with Binda, Merici, and Park. (arXiv | submitted)
On Deformation Theory in Higher Logarithmic Geometry.
(arXiv | submitted)
Logarithmic Prismatic Cohomology via Logarithmic THH.
joint with Binda, Park, and Østvær. (arXiv | IMRN (2023))
A Hochschild-Kostant-Rosenberg Theorem and Residue Sequences for Logarithmic Hochschild Homology.
joint with Binda, Park, and Østvær. (arXiv | Adv. Math. (2023))
On the relationship between logarithmic TAQ and logarithmic THH.
(arXiv | Doc. Math. (2021))

Teaching

Winter 2024/25 I am assisting Hornbostel's lecture Einführung in die Topologie. Past teaching may be found here.

Expository notes

Postnikov Towers of Logarithmic Ring Spectra
For the Oberwolfach workshop Homotopy Theory.