Béranger Seguin
Since October 2026, I am a postdoc in KU Leuven (Belgium). I am a teaching assistant for the Algebraic Geometry I course. You can find me in the Algebra section, building 200B, office 01.37.
I specialize in arithmetic geometry and number theory, and especially around questions of arithmetic statistics. You can learn more about my research on the dedicated page. Additionally, I have interest in writing formalized proofs.
Between September 2023 and October 2026, I was a postdoc at the University of Paderborn (Germany), in the Arbeitsgruppe Computeralgebra und Zahlentheorie supervised by Jürgen Klüners.
In July 2023, I obtained a PhD in mathematics from the Université de Lille (France), supervised by Pierre Dèbes and Ariane Mézard. That work focuses around the geometry and arithmetic of connected components of Hurwitz spaces. You can read the manuscript or see the slides for the defense.
news
| Oct 16, 2026 | New preprint! This is the first paper in a series dedicated to mixed tame-and-wild extensions of function fields. This one focuses on parametrizing and counting local extensions whose Galois group is the one-dimensional affine group over 𝔽ₚ. |
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| Mar 16, 2026 | New preprint! This one is about a quantitative local-global principle for the number of p-extensions of rational function fields in characteristic p, in nilpotency class ≤ 2, ordered by largest upper ramification break. The paper simplifies our previous proof, making the argument more stand-alone, and avoiding the exclusion of the prime 2. I am quite happy about the outcome, as I now better understand why the result holds. Working on generalizations is of course my next goal… |
| Feb 22, 2026 | Vous pouvez m’écouter parler de la théorie d’Artin—Schreier (ou, si l’entrée vous suffit, résoudre les équations du second degré en caractéristique 2) sur la chaîne YouTube de Philippe Caldero ! |
| Jan 31, 2026 | Vous pouvez m’écouter parler de cohomologie des groupes, d’extensions, et de relèvement de morphismes sur la chaîne YouTube de Philippe Caldero ! |