Philip Dittmann

Philip Dittmann is a Lecturer in Pure Mathematics at the Department of Pure Mathematics, University of Manchester. His research focuses on field theory, number theory, model theory, and algebraic geometry, with particular emphasis on definability questions over global and finitely generated fields, and variants of Hilbert's Tenth Problem. His work intersects with valued fields, Galois groups, and existential theories.

Recent publications explore topics such as local field characterizations, axioms for existential theories, and definable valuations in ordered fields. Notable collaborations include studies on finitely ramified henselian fields and axiomatizing Fq((t)). His research often bridges algebraic and logical perspectives, contributing to foundational questions in mathematics.

No academic awards are explicitly listed in the provided text. Advising and grant information is not detailed here. He is a member of the Pure Mathematics department at Manchester, contributing to its research activities in algebra and number theory.