Postdoctoral researcher at MPIM Bonn
Contact: kartas[at]mpim-bonn[dot]mpg[dot]de
Office: Max-Planck-Institut für Mathematik, Bonn (Office 407)
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:
Perfectoid C_i transfer (2025), (submitted) | arXiv
On geometrically C_1 fields (2024), (submitted) arXiv
Beyond the Fontaine-Wintenberger theorem, with Franziska Jahnke (2025), Journal of the AMS (to appear)| arXiv
Decidability via the tilting correspondence (2024), Algebra & Number Theory Vol. 18 No. 2, pp.209-248 | arXiv
Valued fields with a total residue map (2024), Journal of Mathematical Logic Vol. 24, No.3 | arXiv
Diophantine problems over tamely ramified fields (2023), Journal of Algebra Volume 617, pp. 127-159|arXiv
An undecidability result for the asymptotic theory of p-adic fields (2023), Annals of Pure and Applied Logic, Volume 174, Issue 2 |arXiv
Diophantine problems over Z^ab modulo prime numbers (2021), (preprint) arXiv
Survey papers/Miscellanea:
Stable groups (2018), M.Sc Thesis (under the supervision of E. Hrushovski)
Decidability of local fields and their extensions (2021), Proceedings of the PLS '22
Selected Talks (with slides or recording):
Reflections on the work of Thanases Pheidas (2024), Panhellenic Logic Symposium (slides)
Beyond the Fontaine-Wintenberger theorem (2023), Luminy CIRM 2023 (video, slides)
Decidability via the tilting correspondence (2022), Géométrie et Théorie des Modèles (video , slides)
Diophantine problems over tamely ramified fields (2022), Szczecin 2022
Decidability via the tilting correspondence (2021), Fields Institute (video)
Diophantine problems over infinitely ramified fields (2020), MSRI (video)