Simon Abelard
Postdoctoral researcher at University of Waterloo

About me

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 project-team CARAMBA, under the supervision of Pierrick Gaudry and Pierre-Jean 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.

Research interests

My research interests lie in the fields of commutative algebra and number theory, 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 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.

Contact me

E-mail: simon.abelard(at)
Office: DC 2302B
Surface mail: SCG Lab DC2302 - Cheriton School of Computer Science
University of Waterloo
Waterloo, ON, N2L 3G1, CANADA

Got the wrong Abelard ?

For my brother Sylvain, go here.