Béranger Seguin

Since September 2023, I am a postdoc in the Arbeitsgruppe Computeralgebra und Zahlentheorie at the University of Paderborn (Germany). My current research is centered around arithmetic statistics, and more precisely around the asymptotic distribution of field extensions. I love the diversity of the methods which we can use to study these questions: methods from algebraic number theory/class field theory, methods from analytic number theory, and methods from Diophantine/arithmetic algebraic geometry. I also have interest in the description of absolute Galois groups of local fields and of their ramification filtration, as it leads to a description of extensions with a given discriminant. For this reason, I also think about Galois representations, \(\varphi\)-modules, moduli spaces/deformation rings thereof, etc.

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 geometry and arithmetic of connected components of Hurwitz spaces, moduli spaces of branched covers of the line, whose rational points relate to the regular inverse Galois problem.

I also like to secretly travel to other mathematical landscapes: non-commutative algebra, Grothendieck-Teichmüller theory and dessins d’enfants, logic (especially model theory) and proof theory, etc. I have strong interest in writing formalized proofs.

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