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