I am a postdoc in mathematics working in the group of Amador Martin-Pizarro at the University of Freiburg. I did my PhD under the supervision of Zoé Chatzidakis and Martin Hils at the École Normale Supérieure Paris where I defended it in July 2025. Prior to that I completed my Bachelor and Master in mathematics at the University of Münster.

My research interests are in model theory and its applications and interactions with number theory. I am particularly interested in (estimates of) character sums over finite fields and how they can be used model-theoretically. On the model theoretic side this involves questions around continuous logic, elimination of imaginaries, higher amalgamation, etc.

More concretely, in my thesis I studied the model theory of (the common theory of) finite fields with both additive and multiplicative character as well as of the algebraic closures of finite fields with a symbol for the Frobenius automorphism and an additive character on the fixed field. Both extend the work of Hrushovski. Prior to that I worked on metric valued fields in a continuous logic setting.

Contact information

• Email: stefan[dot]ludwig[at]mathematik[dot]uni-freiburg[dot]de
• Address: Room 304, Abteilung für mathematische Logik, Ernst-Zermelo-Straße 1, 79114 Freiburg
• Office hours: Wednesday 11:00-12:30 (Terminabsprache per mail)