My field of research lies at the crossroads of arithmetic geometry, number theory, coding theory, and computer algebra. Some of my research lies at the interface between mathematics and computer science, more particularly information theory. I am also interested in cryptography, and, in particular, I am keen to work in code-based cryptography and isogeny-based cryptography.
Feel free to contact me!
Publications
- with A. Caminata and A. Ravagnani, Structure of CSS and CSS-T Quantum Codes. Accepted for publication in Designs, Codes and Cryptography. <arXiv>
- with X. Caruso, Algebraic Geometry codes in the sum-rank metric. IEEE Transactions on Information Theory, Volume 70, Issue 5, May 2024, pp 3345 – 3356. <arXiv><HAL><Journal>
- with A. Couvreur and G. Lecerf, A proof of the Brill-Noether method from scratch. ACM Communications in Computer Algebra, Volume 57, Issue 4, December 2023, pp 200–229. <arXiv> <HAL><Journal>
- with J. Nardi, Curves on Frobenius classical surfaces in P3 over finite fields. Acta Arithmetica 205, 2022, 323-340. <arXiv> <Journal>
- with S. Abelard, A. Couvreur, and G. Lecerf, Computing Riemann-Roch spaces via Puiseux expansions. Journal of Complexity, 2022, 101666. <HAL> <Journal>
- with A. J. Giangreco-Maidana, Weil polynomials of abelian varieties over finite fields with many rational points. International Journal of Number Theory, 2022, p.1-13. <arXiv> <HAL> <Journal>
- with Y. Aubry, F. Herbaut and M. Perret, Bounds on the minimum distance of algebraic geometry codes defined over some families of surfaces, in Arithmetic, Geometry, Cryptography and Coding Theory, volume 770 of Contemporary Mathematics, pages 11–28. American Mathematical Society, Providence, RI, 2021. <arXiv> <HAL> <Journal>
- with Y. Aubry, F. Herbaut and M. Perret, Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus, Finite Fields and Their Applications, Volume 70, February 2021, 101791. <arXiv> <HAL> <Journal>
Preprints
Two preprints in preparation, coming soon!
Ph.D. thesis
Algebraic geometry codes from surfaces defined over finite fields
available here
Master thesis
Nombre maximum de points rationnels de courbes de genre 3 sur les corps finis
available here (in french!)