I am a PhD student since 2019 at the Institut de mathématiques de Bordeaux, in the number theory team. I am also a member of the LFANT team, in the INRIA centre of the University of Bordeaux. My areas of interest are parametrisations of isomorphism classes of number fields of a given degree by integral orbits of prehomogeneous representations, enumeration algorithms derived from such parametrisations, and reduction theories for actions of arithmetic groups on algebraic varieties. My thesis defense will take place in the course of 2023.
Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces. (To appear in Confluentes Mathematici)
English version: HAL:03826538, arXiv:2210.14087.
French version: HAL:03826500.
Kempf-Ness covariant and reduction theory. (In preparation)
Effective enumeration of quartic number fields by Bhargava’s method. (In preparation)
- Primitive quartic number fields of absolute discriminant at most $10^9$.