Konstantinos Kartas

I am a postdoctoral researcher 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. Beyond the Fontaine-Wintenberger theorem, (with F. Jahnke) (2023)| (submitted) arXiv version

2. Valued fields with a total residue map (2023), Journal of Mathematical Logic (to appear) | arXiv version

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

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

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

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

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

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

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

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

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