I am a PhD student in the team GRACE under the supervision of Luca de Feo and Benjamin Smith.
I focus my research on isogeny-based cryptography. My main interest is on Quaternion Algebras and their impact on isogenies through the Deuring correspondence. This equivalence of categories between geometric objects that are elliptic curves and algebraic quaternion have showed to be a powerful tool to analyze the security of isogeny-based scheme. It has also some constructive applications such as signature. More generally, I am interested in everything related to isogeny-based cryptography and the algorithmic challenges it raises. I have also done some work on improving the efficiency of isogenies' evaluation, check it out at velusqrt.isogeny.org.
I am interested in cryptography in general and also done some work in Multiparty Computation.