Tommy Lundemo

I am an NWO-Veni fellow in Utrecht. Before this, I was 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

On the Residue Sequence in Logarithmic Topological Cyclic Homology
(arXiv | submitted)
Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
joint with Binda, Merici, and Park. (arXiv | Trans. Am. Math. Soc. (2025))
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
joint with Binda, Merici, and Park. (arXiv | submitted)
On Deformation Theory in Higher Logarithmic Geometry
(arXiv | J. Inst. Math. Jussieu. (2025))
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 and organization

Spring 2026 I co-organize the seminar Localizing invariants and Efimov K-theory with Steffen Sagave, and I also co-organize TopICS. Past teaching may be found here.

Supervision

I am currently supervising one master's student. You are very welcome to contact me if you are interested in a project.

Expository notes

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