Konstantinos Kartas

I am a postdoctoral researcher at MPIM Bonn in the arithmetic geometry group.

Previously, I was a postdoc at IMJ-PRG/Sorbonne Université, mentored by F. Loeser. I completed my PhD at the University of Oxford, under the supervision of E. Hrushovski and J. Koenigsmann. 

I am interested in the interactions between model theory and arithmetic geometry. 

PhD Thesis:

Contributions to the model theory of henselian fields (2022)

Research papers:

1. Perfectoid C_i transfer (2025), (submitted) | arXiv

2. On geometrically C_1 fields (2024), (submitted) arXiv

3. Beyond the Fontaine-Wintenberger theorem, with Franziska Jahnke (2025), Journal of the AMS (to appear)| arXiv

4. Decidability via the tilting correspondence (2024), Algebra & Number Theory Vol. 18 No. 2, pp.209-248 | arXiv

5. Valued fields with a total residue map (2024), Journal of Mathematical Logic Vol. 24, No.3 | arXiv

6. Diophantine problems over tamely ramified fields (2023), Journal of Algebra Volume 617, pp. 127-159|arXiv

7. An undecidability result for the asymptotic theory of p-adic fields (2023), Annals of Pure and Applied Logic, Volume 174, Issue 2  |arXiv

8. Diophantine problems over Z^ab modulo prime numbers (2021), (preprint) arXiv

Survey papers/Miscellanea: 

1. Stable groups (2018), M.Sc Thesis (under the supervision of E. Hrushovski)

2. Decidability of local fields and their extensions (2021), Proceedings of the PLS '22

Selected Talks (with slides or recording): 

1. Reflections on the work of Thanases Pheidas (2024), Panhellenic Logic Symposium (slides)

2. Beyond the Fontaine-Wintenberger theorem (2023), Luminy CIRM 2023 (video, slides)

3. Decidability via the tilting correspondence (2022), Géométrie et Théorie des Modèles (video , slides)

4. Diophantine problems over tamely ramified fields (2022), Szczecin 2022

5. Decidability via the tilting correspondence (2021), Fields Institute (video) 

6. Diophantine problems over infinitely ramified fields (2020), MSRI (video)