Research interests I am working at the intersection of algebra and logic. More specifically, I am interested in the algebra and model theory of valued fields, especially in questions around valued fields with extra structure (like an endomorphism) and definability of henselian valuations.
Preprints Here are the manuscripts currently online on the arXiv, but not yet published.
- Definability of henselian valuations in positive residue characteristic
with Margarete Ketelsen and Piotr Szewczyk (arXiv:2401.06884, 2024)
Abstract
We study the question of \(\mathcal{L}_{\mathrm{ring}}\)-definability of non-trivial henselian valuation rings. Building on previous work of Jahnke and Koenigsmann, we provide a characterization of henselian fields that admit a non-trivial definable henselian valuation. In particular, we treat cases where the canonical henselian valuation has positive residue characteristic, using techniques from the model theory and algebra of tame fields.
Talks The talks are divided into major topic or work they are based on, even though each one might have a slightly different title. The icons are linked to slides or notes of the talks, when available.
- Model theory of valued fields with an endomorphism:
- Definable henselian valuations in positive residue characteristic:
- Seminario, Università degli Studi della Campania Luigi Vanvitelli, 09.04.2024
- Séminaire Théorie des modèles et groupes, IMJ-PRG, Paris, 06.11.2023
- Séminaire Général de Logique, IMJ-PRG, Paris, 09.10.2023
- PhDs in Logic XIV, University of Granada, 04.10.2023
- Model theory and algebra:
- Understanding valued fields via model theory, LLAMA Seminar, Institute for Logic, Language and Computation, Amsterdam, 14.05.2024
- A model-theoretic stroll through the fields, Séminaire Compréhensible, Institut Fourier, Grenoble, 14.12.2023
- Why you should care about model theory, Séminaire Pampers, Institut de recherche mathématique de Rennes, 17.11.2022
Notes and theses
