# Béranger Seguin

**Contact me:**math[at]beranger-seguin[dot]fr

Since September 2023, I am employed as a postdoctoral researcher in the Arbeitsgruppe Computeralgebra und Zahlentheorie, working on questions of algebraic number theory.

In July 2023, I obtained a PhD in mathematics supervised by Pierre Dèbes and Ariane Mézard. You can read the manuscript or see the slides for the defense. This work focuses around the geometric approach to the regular inverse Galois problem. To this end, I have been studying the geometry and arithmetic of connected components of Hurwitz spaces, which are moduli spaces of branched covers of the projective line. The links between the combinatorial, topological, and arithmetic points of view on this question are, in my eyes, as mysterious as they are fascinating.

I also like to secretly travel to other mathematical landscapes:

- Grothendieck-Teichmüller theory and dessins d’enfants
- logic and proof theory, formalization
- non-commutative algebra, skew fields

I love music - especially jazz - a lot, and I’m always glad to discuss music or jam around with people.