# Welcome!

I am a PhD student at INRIA
CARAMBA, working with Emmanuel
Thomé and Pierre-Jean
Spaenlehauer. I am interested in the
algorithmics of **Drinfeld modules** and their applications to post-quantum
**isogeny-based cryptography**. I also have a degree in musicology and in
mechanics.

## Research summary

Drinfeld modules can be thought as *function field analogues* of elliptic
curves. In our first paper, my advisor and
I gave a fast and short algorithm computing the following action: the Jacobian
of an imaginary hyperelliptic curve over Fq acts on a set of isomorphism
classes of Drinfeld modules. This is an analogue of the *CRS action* of the
class group of a quadratic imaginary number field on a set of isomorphism
classes of elliptic curves. (*See also [Caranay, Greenberg, Scheidler;
2020] and [Joux,
Narayanan; 2019]*.)

I am now working with Xavier Caruso on the
computation of Drinfeld module isogeny norms and endomorphism characteristic
polynomials (not restricting to the Frobenius case). (*See also [Musleh,
Schost; 2019]*).

Generally speaking, my goal is to write a well-designed reliable and efficient algorithmic toolbox for Drinfeld modules, helping both mathematicians and cryptographers.

## Ethics

I wish to contribute to cryptography, which I believe is the cornerstone of numerous human rights. By trying to be a craftman at my work, I hope to be reliable; and most all, helpful.