My research topics are at the intersection of algebraic geometry, number theory and their applications to cryptography and coding theory.
In my Ph.D thesis (defended on July 6, 2016) I focused on some questions about the maximum number of rational points on a singular curve defined over a finite field.
I am also a member of the research project ANR manta: Algebraic Geometry and Coding Theory. Within this context, I am interested in codes built over higher dimensional varieties.
Here is the list of my publications:
- A note on the security of CSIDH, joint work with Jean-François Biasse and Michael J. Jacobson, Progress in Cryptology – INDOCRYPT 2018. 19th International Conference on Cryptology in India, New Delhi, India, December 9–12, 2018, Proceedings, Security and Cryptology, vol. 11356, Springer, pp. 153--168, 2018.
- Optimal and maximal singular curves, joint work with Yves Aubry, Arithmetic, geometry, cryptography and coding theory, Contemporary Mathematics 686, pp. 31--43, 2017.
On the maximum number of rational points on singular curves over finite fields, joint work with Yves Aubry, Moscow Math. Journal, Volume 15, Issue 4, October-December 2015, pp. 615--627.
Nombre de points rationnels des courbes singulières sur les corps finis