My research interests lie in the area of Arithmetic Geometry, and I am particularly motivated by questions concerning the existence and density of rational and integral points on varieties. More precisely, I study the local-global principle, weak and strong approximation for rational and integral points on algebraic varieties, and I try to explain when and why they fail, using related tools such as the Brauer–Manin obstruction and descent obstructions.
Publications and Preprints
The texts available here may differ from the published or submitted versions.
- Brauer–Manin obstruction for Wehler K3 surfaces of Markoff type, submitted, available at arXiv:2302.11515.
- Brauer–Manin obstruction for integral points on Markoff-type cubic surfaces, Journal of Number Theory, 254 (2024), Pages 65-102, https://doi.org/10.1016/j.jnt.2023.07.007.
PhD Thesis
Local-global principle for integral points on certain algebraic surfaces, defended on July 5, 2023, under the supervision of Cyril Demarche at Sorbonne University (Paris, France). The text available here is a revised version of my thesis communicated on HAL Thèses.