Konstantinos Kartas

I am a CNRS chargé de recherche at Université de Paris-Saclay.  I am interested in the interactions between model theory and arithmetic geometry. 

Previously, I held postdoctoral positions at the University of Münster (with F. Jahnke), at MPIM Bonn (with P.  Scholze) and Sorbonne Université (with F. Loeser). I completed my PhD at the University of Oxford in 2022, under the supervision of E. Hrushovski and J. Koenigsmann. 

PhD Thesis:

Contributions to the model theory of henselian fields (2022),
Under the supervision of E. Hrushovski and J. Koenigsmann 

Research papers:

1. Transfer principles and the Kato-Kuzumaki conjecture (2026), with Felipe Gambardella
   (submitted) | arXiv

2. Perfectoid Cᵢ transfer (2025),
   Duke Math. J. (to appear) | arXiv

3. On geometrically C₁ fields (2024),
   (submitted) | arXiv

4. Beyond the Fontaine-Wintenberger theorem (2025), with Franziska Jahnke
   J. Am. Math. Soc. 38, No. 4, 997-1047| arXiv
   Séminaire Bourbaki: The model theory of perfectoid fields (after Jahnke and Kartas), by Sylvy Anscombe

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

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

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

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

9. Diophantine problems over ℤᵃᵇ modulo prime numbers (2021),
   (preprint) | arXiv

Survey papers/Miscellanea: 

1. Taming perfectoid rings, with Franziska Jahnke
   Oberwolfach report

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

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

Selected Talks (with slides or recording): 

1. Tame Banach rings (2026),
   Géométrie et Théorie des Modèles (video) and CIRM (video)

2. Nonstandard methods in almost mathematics (2025),
   HCM Bonn (video)

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

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

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

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

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

PhD supervision: 

1. Jonas van der Schaaf (co-supervision with Franziska Jahnke)