Konstantinos Kartas

CNRS Postdoctoral fellow, IMJ-PRG/Sorbonne Université

Contact: kartas[at]imj-prg[dot]fr
Office: Institut Mathématique de Jussieu, 4 place Jussieu 75252 Paris Cedex 05 - France, fifth floor of corridor 15 - 25 (Office 512)

I am a CNRS postdoctoral researcher at IMJ-PRG/Sorbonne Université, hosted by F. Loeser. I finished 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), link

Research papers:

  1. Decidability via the tilting correspondence (2021), submitted | arXiv version

  2. Diophantine problems over tamely ramified fields (2021), Journal of Algebra |Journal version arXiv version

  3. An undecidability result for the asymptotic theory of p-adic fields (2021), Annals of Pure and Applied Logic |Journal version arXiv version

  4. Diophantine problems over Z^ab modulo prime numbers (2021), (Addendum to 1) arXiv version

  5. Valued fields with a total residue map (2022), submitted arXiv version

Survey papers/Miscellanea:

  1. Stable groups (2018), Master thesis

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

Slides:

  1. Decidability via the tilting correspondence (2022), Géométrie et Théorie des Modéles

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