Béranger Seguin

Institut für Mathematik - Universität Paderborn

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.

  1. Asymptotics of extensions of simple ℚ-algebras
    Fabian Gundlach, and Béranger Seguin
    May 2024
    Preprint. 32 pages.
  2. Study of a division-like property
    Robin Khanfir, and Béranger Seguin
    Journal of Algebra and its Applications, Apr 2024
  3. Geometry and Arithmetic of Components of Hurwitz Spaces
    Béranger Seguin
    Jul 2023
    PhD thesis.
  4. Fields of Definition of Components of Hurwitz Spaces
    Béranger Seguin
    Mar 2023
    Preprint. 28 pages, 3 figures.
  5. The Geometry of Rings of Components of Hurwitz Spaces
    Béranger Seguin
    Oct 2022
    Preprint. 52 pages.