Simon Abelard
Ph.D. student in Computer Science

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.

Research interests

My research interests lie in the fields of commutative algebra and number theory applied to curve-based cryptography, especially point counting in genus 2 and 3 using Schoof-like algorithms and polynomial systems which naturally arise when so doing. I am also interested in generalizations to non-hyperelliptic curves or to higher genera, along with their complexities as well as other applications to these algorithms. Indeed, they require an adequate representation for torsion subgroups of curves, which may be useful for isogeny-related problems (computations, cryptosystems in higher genus, ...)

Contact me

E-mail: simon.abelard(at)loria.fr
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