Régis Dupont

Preprints

• With Andreas Enge:
  Practical non interactive key distribution based on pairings,
  presented at WCC 2003 at Versailles, to appear in Discrete Applied Mathematics.
  The slides are also available.
• With Andreas Enge and François Morain:
  Building curves of arbitrarily small MOV degree over finite prime fields,
  to appear in Journal of Cryptology.
• Definition and convergence properties of Borchardt's mean (for complex numbers):
  Moyenne de Borchardt sur les complexes
  (in French, English version to come).
• Fast evaluation of modular functions using Newton iterations and the AGM,
  to appear in Mathematics of Computation.

Slides

• Évaluation numérique de fonctions modulaires via l'AGM (in French), presented at the Journées C2 in Aussois, February 4. 2005 (new version of a presentation already given at Caen).

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are interested in arithmetic geometry, you might want to check the documents available on William Stein's site (soon out of date).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 day-to-day life of PhD students (in the US).

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.