Since September 24, I am a postdoctoral researcher working in the Symbolic Computation Group at the David R. Cheriton School of Computer Science at UWaterloo.
From September 2015 to September 2018, I have been a Ph.D. student at Université de Lorraine, and a member in the LORIA's projectteam CARAMBA, under the supervision of Pierrick Gaudry and PierreJean Spaenlehauer.
Meanwhile, I have also been a teaching assistant at Mines Nancy.
I defended my thesis on September 7, 2018. Here is a link to the manuscript and to the slides of the defense (both in English).
My research interests lie in the fields of commutative algebra and number theory, especially point counting using Schooflike 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 am working on. 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.
Email:  simon.abelard(at)loria.fr 
Phone:  +33 (0)3 83 59 30 88 
Office:  B 225 
Surface mail: 
LORIA, Bât. B  Projet CARAMBA 
Campus Scientifique, BP 239 

54506 VandoeuvrelèsNancy Cedex France 
For my brother Sylvain, go here.