Gaetan Bisson

Research Fellow

Department of Computing
Macquarie University NSW 2109
Australia

email: gaetan.bisson@normalesup.org
phone: +61 2 9850 9568
PGP: 2048D/00F0D0F0

Previously, I was a research intern at Microsoft (Redmond, United States), a doctoral candidate at LORIA (Nancy, France) and TU/e (Eindhoven, Netherlands), a research student at Tokyo Tech (Tokyo, Japan), and a student at ENS (Paris, France); see my curriculum vitae.

Research

My research interests are mathematical aspects of cryptography, in particular those related to computational number theory. Lately, my work has focused on curve-based and pairing-based cryptography.

Recent work:

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.

For more, see my list of writings, which includes articles and slides.

Teaching

Teaching materials (in French):

(March 2010) short course on computational graph theory;
(September 2009) introduction to Unix-like operating systems;
(September 2009) introduction to preparing documents with LaTeX;
(May 2009) short course on integer factoring;
(January 2008) collection of interesting exercises for undergraduate mathematics majors;
(May 2006) short text on Bernoulli numbers and polynomials;
(April 2005) handouts for a course on formal languages, computability, and complexity, with François Garillot, Thierry Martinez, and Sam Zoghaib.

Hobbies

I spend my spare time:

climbing high things;
reading amazing books;
travelling to marvelous places;
writing cute programs;
developing for the Arch Linux distribution.