Régis Dupont


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I am a PhD student under the supervision of Prof. François
Morain.
I am interested in algorithmic aspects of modular forms and functions. I am
currently working on their numerical evaluation, and on the computation of
genus 1 and genus 2 class polynomials and modular polynomials.
Preprints
Slides
Presentations

Séminaire SPACES at
LORIA, Nancy, 3 mars 2005 :
Theta constantes et moyenne de Borchardt, applications.

Number theory seminar, Technische Universität
Berlin, February 9. 2005: Borchardt's mean, theta constants and
applications to the evaluation of Riemann matrices and modular forms.

Journées C2 à Aussois, February 4. 2005:
Évaluation rapide de formes modulaires via l'AGM.

Institut Henri Poincaré (special
semester Explicit Methods in
Number Theory), December 16. 2004:
AGM and Borchardt's mean: applications to the computation of Riemann
matrices and to the evaluation of modular forms.

Cryptography
seminar in Caen, March 18. 2004: Évaluation rapide de
fonctions modulaires via l'AGM.
Misc.

My mémoire de DEA (in French), on the applications of
Tate and Weil pairings in cryptology (2002).

If you want to know what modular polynomials in genus 2 look like, take a look
here. Chances are you really don't care, but it
took me quite a while to compute these: I couldn't NOT put them on my web page
(I know, some people really don't know what to do with the CPU time they have
available).
Links
 The Crypto team at LIX,
also known as INRIA
Futurs'TANC project.
 Sites containing (amongst other things) digitized mathematical documents (articles,
books): LiNuM,
Cornell and GDZ, a neat place to
find the complete works of Gauss (or those of Borchardt!) for example. If you
are interested in arithmetic geometry, you might want to check the
documents available on
William Stein's site
(soon out of date).
 A comic on the daytoday life of
PhD students (in the US).
My gpg key.
Laboratoire d'Informatique
(LIX)
École Polytechnique
91128 Palaiseau Cedex  France
Email: dupont(at)lix.polytechnique.fr
Téléphone: +33 1 69 33 28 68
Fax: +33 1 69 33 30 14
Tous les documents fournis le sont sous la responsabilité
de leurs auteurs, et ne représentent pas nécessairement les
positions officielles de l'École polytechnique. Les informations
données le sont de bonne foi, mais leur véracité ne
saurait être garantie.