phone | +689 40 866 473 |
---|---|

`bisson` `@gaati.org` | |

PGP | ed25519/DDDDFFFF |

For further information, see my curriculum vitae.

My research interests are mathematical aspects of computer science, particularly applications of number theory to cryptography. Lately, my work has focused on elliptic and hyperelliptic curves.

Recent work:

- On polarised class groups of orders in quartic CM-fields, with Marco Streng, forthcoming in Mathematical Research Letters;
- Computing endomorphism rings of abelian varieties of dimension two, published in Mathematics of Computation;
**Endomorphism Rings in Cryptography, doctoral dissertation;**- Computing endomorphism rings of elliptic curves under the GRH, published in the Journal of Mathematical Cryptology;
- A low-memory algorithm for finding short product representations in finite groups, with Andrew V. Sutherland, published in Designs, Codes and Cryptography;
- AVIsogenies, a library for computing isogenies between abelian varieties, with Romain Cosset and Damien Robert;
- Computing the endomorphism ring of an ordinary elliptic curve over a finite field, with Andrew V. Sutherland, published in the Journal of Number Theory;
- More discriminants with the Brezing-Weng method, with Takakazu Satoh, published in Indocrypt 2008.

See also my publication list.

Courses taught in 2015–2016 (in French):

- MATHS 2.2, analysis;
- MATHS 3.4, arithmetic – cryptography;
- MATHS 4.5, elementary geometry;
- MATHS 5.3, differential equations;
- MATHS 6.5, symbolic computation;
- ESPE, preparation for “agrégation interne”.

See also my older teaching materials.

Currently:

- deputy director of teaching, third-year undergraduate mathematics;

See also my past responsibilities.

See my personal website.