# Utilisateur·rice

David • KOHEL
Professeur (PR) • Affiliation : Aix-Marseille Université (AMU)
Site : Luminy • Bureau : 106 • Etage du bureau : 1 •

AGLR-ATI (équipe Arithmétique et Théorie de l’Information)

Groupe(s) scientifiques(s) de l'utilisateur :

Rechercher mots clef :
Complete addition laws Modular equations Theta functions Canonical lift CM-methods Cryptographie Thorie des nombres

Thématiques scientifiques :
• Cryptography
• Algebraic geometry (null and positive characteristic)
• Theoretical computer science, computability
• Discrete mathematics
• Algebraic number theory, arithmetic geometry
• Analytical number theory
• Theory of automorphic forms
• Representation theory

# Publications HAL

2021/01 - On Sato-Tate distributions, extremal traces, and real multiplication in genus 2

2020/12 - A special configuration of $12$ conics and generalized Kummer surfaces

2020/12 Journal of the ACM (JACM) - SQISign: compact post-quantum signatures from quaternions and isogenies

2020/01 Journal of Mathematical Cryptology - Orienting supersingular isogeny graphs

2019/01 The Open Book Series - Arithmetic statistics of Galois groups

2017/04 - Twisted mu_4-normal form for elliptic curves

2017/01 - Arithmetic, Geometry, Cryptography and Coding Theory

2016/01 - Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures

2015/08 - Twisted Hessian Curves

2015/01 - The geometry of efficient arithmetic on elliptic curves

2014/06 - Théorie des nombres et cryptographie

2014/01 LMS Journal of Computation and Mathematics - On the quaternion $\ell$-isogeny path problem

2012/12 - Efficient arithmetic on elliptic curves in characteristic 2

2012/01 LMS Journal of Computation and Mathematics - Complete addition laws on abelian varieties

2011/12 - Counting Points on Genus 2 Curves with Real Multiplication

2011/01 Journal of Number Theory - Addition law structure of elliptic curves

2011/01 - Arithmetic of split Kummer surfaces: Montgomery endomorphism of Edwards products

2010/01 - Arithmetic, Geometry, Cryptography and Coding Theory 2009

2008/01 Journal of Algebra - Higher-dimensional 3-adic CM construction

2006/12 - The 2-adic CM method for genus 2 curves with application to cryptography

2006/07 - Efficiently Computable Endomorphisms for Hyperelliptic Curves

2006/01 Bulletin of the London Mathematical Society - The Weierstrass subgroup of a curve has maximal rank