Simon Abelard
Ph.D. student in Computer Science

About me

I am a Ph.D. student at Université de Lorraine.

I am a member of the LORIA's project-team CARAMBA, under the supervision of Pierrick Gaudry and Pierre-Jean Spaenlehauer.

I am also a teaching assistant at Mines Nancy.

Research interests

My research interests lie in the fields of commutative algebra and number theory applied to curve-based cryptography, especially point counting using Schoof-like algorithms and polynomial systems which naturally arise when so doing. Indeed, these polynomial systems have a particular structure which we can exploit to study theoretical complexity bounds, but also in practice to gain efficiency or to devise algorithms for the case of genus 3.

I am mainly working on hyperelliptic curves over finite fields, but extending results and methods to Jacobians of plane curves or Abelian varieties is something that I would like to work on in the future. I am looking for other applications of my work on torsion subgroups (or more generally on kernels of endomorphisms). Since polynomial systems are ubiquitous in my research, I am also very interested in theoretical and practical aspects of computer algebra.

Contact me

E-mail: simon.abelard(at)
Phone: +33 (0)3 83 59 30 88
Office: A 215
Surface mail: LORIA, Bât. A - Projet CARAMBA
Campus Scientifique, BP 239
54506 Vandoeuvre-lès-Nancy Cedex France

Got the wrong Abelard ?

For my brother Sylvain, go here.