Research activities

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.
    pdf arXiv
  • Optimal and maximal singular curves, joint work with Yves Aubry, Arithmetic, geometry, cryptography and coding theory, Contemporary Mathematics 686, pp. 31--43, 2017.
    pdf arXiv
  • 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.
    pdf arXiv

Ph.D thesis

Nombre de points rationnels des courbes singulières sur les corps finis

Language: French (sorry!)
Supervisor: Yves Aubry
Defended on July 6, 2016, at Aix-Marseille Université, in Marseille

pdf slides defense

Master thesis

Domini Almost Dedekind

Language: Italian (sorry again!)
Supervisor: Stefania Gabelli
Defended on July 18 2012 at Università degli Studi di Roma 3, in Rome

pdf slides