Elyes Boughattas

Who am I? I am currently a temporary Teaching and Research Assistant (ATER) in Arithmetic Geometry at Université Rennes 1. Before that, I was a Research Associate at the University of Bath, under the supervision of Daniel Loughran. I obtained my PhD thesis in mathematics at Université Sorbonne-Paris-Nord in 2023, entitled De l'arithmétique des variétés rationnellement connexes sur un corps de fonctions de courbe (english translation: Of the arithmetic of rationally connected varieties on function fields of curves), under the supervision of Olivier Wittenberg.

My research focuses on the following themes:

• rational points on algebraic varieties over various fields : existence (Hasse principle), distribution (density, weak approximation, Brauer-Manin obstruction, fibration method) ;
• rationality of homogeneous spaces (Noether's problem) and conic bundle surfaces ;
• number theoretic applications to the Inverse Galois Problem and Grunwald Problem.

I am also interested in the following topics, which are closely related to chasing rational points: stable homology and its applications to the study of Hurwitz spaces; Malle's conjecture; model theory.

In this website, you should be able to find information on my research, my teachings, but also mathematical curiosities denying the Ordo ab Chao principle.

As an enemy of personal data receivers, you will find no photograph of myself on this website, but here is one which most closely approximates it.

Mailing address
Bureau 332, bâtiment 23
Institut de recherche mathématique de Rennes (IRMAR)
Université Rennes 1, Campus Beaulieu
263 avenue du Général Leclerc, CS 74205
35042 Rennes Cédex
France

E-mail address
boughatt((at))phare.normalesup.org