Simon Abelard
Papers accepted in international journals
 Efficient computation of RiemannRoch spaces for plane curves with ordinary singularities.
S. Abelard, A. Couvreur, G. Lecerf.
Applicable Algebra in Engineering, Communication and Computing (AAECC), 2022. [HAL, published version]
 Computing RiemannRoch spaces via Puiseux expansions.
S. Abelard, E. Berardini, A. Couvreur, G. Lecerf.
Journal of Complexity, 2022, vol. 73, p. 101666. [HAL, published version]
 Counting Points on hyperelliptic curves with explicit RM in arbitrary genus.
S. Abelard.
Journal of Complexity, 2020, vol. 57, p. 101440. [arxiv, published version]
 Improved Complexity Bounds for Counting Points on Hyperelliptic Curves.
S. Abelard, P. Gaudry and P.J. Spaenlehauer.
Foundations of Computational Mathematics, 2019, vol. 19, no 3, p. 591621. [arxiv, published version]
Papers accepted in proceedings of international conferences

Subquadratic time for RiemannRoch spaces. The case of smooth divisors over nodal plane projective curves.
S. Abelard, A. Couvreur and G. Lecerf.
Proceedings of ISSAC 2020, pp 1421.
[HAL, DOI]
 On the complexity of computing integral bases of function fields.
S. Abelard.
Proceedings of CASC 2020, pp 4262.
[HAL, published version]

Counting points on genus3 hyperelliptic curves with explicit RM.
S. Abelard, P. Gaudry and P.J. Spaenlehauer.
Proceedings of the Thirteenth Algorithmic Number Theory Symposium (ANTS XIII).
[arxiv, published version]
Invited talks
 Counting points on hyperelliptic curves in large characteristic: the RM case, talk at a minisymposium of the SIAM conference on Applied Algebraic Geometry 2019.
 Improving Complexity Bounds for Hyperelliptic Pointcounting, talk at a minisymposium of the SIAM conference on Applied Algebraic Geometry 2017.
Talks given at national events
 A faster algorithm for computing RiemannRoch spaces, talk at the JC2 (Journées Codage et Cryptographie) in November 2020.
 Computing integral bases of algebraic function fields, talk at the JNCF 2020 (Journées Nationales de Calcul Formel). [slides]
 Pointcounting on hyperelliptic curves of genus 3 and beyond, talk at the JNCF 2018 (Journées Nationales de Calcul Formel). [slides]
Seminars
 Structured algorithms for algebraic curves, talk given in February 2021 at the Polsys seminar (Paris).
 Recent progress on the computation of RiemannRoch spaces, talk given in October 2020 at the GRACE team seminar (Palaiseau).
 Computing RiemannRoch spaces of smooth divisors on nodal curves, talk given in July 2020 at the seminar of the MAX team (Palaiseau).
 Counting points on hyperelliptic curves over finite of large characteristic, talk given in May 2020 at the seminar of the MAX team (Palaiseau).
 Counting points on hyperelliptic curves over finite of large characteristic, talk given in March 2020 at the seminar of XLIM (Limoges).
 Counting points on hyperelliptic curves over finite of large characteristic, talk given in January 2020 at the Effective Algebra and Geometry seminar of IRMAR (Rennes).
 Counting points on hyperelliptic curves over finite of large characteristic, talk given in November 2019 at the GRACE team seminar (Palaiseau).
 Complexity Bounds for Pointcounting on Hyperelliptic Curves, talk given during an invitation at the Symbolic Computation Group at the University of Waterloo in April 2017.
Thesis
 My Ph.D. dissertation can be found here (Errata: the complexity exponent in the RM case should be 9 instead of 8, see my article in the Journal of Complexity).
 The slides of the defense can be found here.