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, and I have become increasingly interested in combining the resulting techniques to tackle questions concerning algebraic cycles and non-commutative geometry.

You may contact me at tommy (dot) lundemo (at) gmail (dot) com.

Papers

On the p-adic Deformation Problem for the K-theory of Semistable Schemes
Joint with Binda, Merici, and Park.
arXiv submitted
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. (2026)
Logarithmic prismatic cohomology, motivic sheaves, and comparison theorems
Joint with Binda, Merici, and Park.
arXiv J. Reine Angew. Math. (Crelle) (2026)
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

I co-organize TopICS with Francesca Pratali.
I co-organize the log geometry days with Sara Mehidi.
Past teaching and organization.

Supervision

You are very welcome to contact me if you are interested in a project.

Logarithmic Hochschild Cohomology
Master’s thesis by Deik van der Horst Thesis (PDF) (2026)

Expository notes

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