Philip Dittmann

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math.NT2026

Universally defining subrings in function fields

Nicolas Daans, Philip Dittmann

We establish that all rings of $S$ -integers are universally definable in function fields in one variable over certain ground fields including global and non-archimedean local field…

math.NT2025

Characterising local fields of positive characteristic by Galois theory and the Brauer group

Philip Dittmann

We show that each local field $F_{q} ((t))$ of characteristic $p > 0$ is characterised up to isomorphism within the class of all fields of imperfect exponent at most $1$ by (…