Research works
Congruences modulo 23 to y2=x3-23 are trivial, 72 p., submitted.
Compactified moduli spaces and Hecke correspondences for elliptic curves with a prescribed N-torsion scheme, 92 p., submitted.
L-functions and rational points for Galois twists of modular curves, PhD thesis under the supervision of Loïc Merel.
On obstructions to the Euler system method for Rankin-Selberg convolutions, 27 p., accepted at Research in Number Theory.
Refined Selmer equations for the thrice-punctured line in depth two, with Alex J. Best, L. Alexander Betts, Theresa Kumpitsch, Martin Lüdtke, Angus W. McAndrew, Lie Qian, Yujie Xu. Mathematics of Computation. Electronically published on October 24th 2023.
Quantum Ergodicity for pseudo-Laplacians, J. Spectr. Theory 11 (2021), no. 4, pp. 1599–1626. These results were found in a research internship in Berkeley supervised by Maciej Zworski and Semyon Dyatlov in the spring of 2018.
Quantum limits for the Harmonic Oscillator, these results were found in the same internship.
Notes for talks given at working groups
Proof of Kolyvagin's theorem, at the online Euler system seminar organized by Arshay Sheth.
Miscellaneous
Introduction au domaine de recherche: courbes elliptiques, courbes modulaires, et représentations galoisiennes. This text in French written for non-specialists was written as a requirement for the ENS diploma.
The Chabauty-Kim method for modular curves, after Dogra et Le Fourn. Master's thesis, written under the supervision of Loïc Merel.
Autour des conjectures de Weil. Bachelor's thesis, written in French with Cécile Gachet and Yichen Qin, and under the supervision of Cyril Demarche.
