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Publications : .

  • Algebraic cycles on the Jacobian of a curve with a linear system of given dimension
    Compositio Mathematica
    143(4), 883-899. (2007)
    PDF file or  arXiv

    With Baohua Fu :
  • On the tautological ring of a Jacobian modulo rational equivalence
    Geometriae Dedicata (
    2007) 129(1), 145-153
    arXiv

    With Pascal Veron :
  • A public key cryptosystem based upon euclidean addition chains
    Proceedings of SETA 2010, LNCS 6338, pp. 284-297, Sept. (2010)
    PDF file

    With Liardet Pierre-Yvan, Meloni Nicolas, Teglia Yannick & Veron Pascal (the Nicoteam) :
  • Random Euclidean Addition Chain Generation and Its Apllication to Point Multiplication
    Lecture Notes in Computer Science, 2010, Volume 6498/2010, 238-261 (Indocrypt 2010)
    PDF file

    With Yves Aubry :
  • Differential uniformity and second order derivatives for generic polynomials
    Journal of Pure and Applied Algebra,  Volume 222, Issue 5 (2017)
    PDF file

    With Yssouf Dosso, Nicolas Meloni and Pascal Veron (the Nicoteam) :
  •  Euclidean Addition Chains Scalar Multiplication on Curves with Efficient Endomorphism
    Journal of Cryptographic Engineering (JCEN),  https://doi.org/10.1007/s13389-018-0190-0), (2018)
    PDF File

    With Yves Aubry and Felipe Voloch :
  • Maximal Differential Uniformity Polynomials
    Acta Arithmetica 188(4): 345-366 (2019)
    PDF file and Acta Arithmetica

  • With Yves Aubry, Elena Berardini and Marc Perret :
  • Algebraic geometry codes over abelian surfaces containing no absolutely irreducible curves of low genus
    Finite Fields and Their Applications, Volume 70, February 2021, 101791
    PDF file and arXiv file

  • With Yves Aubry, Elena Berardini and Marc Perret :
  • Bounds on the minimum distance of Algebraic Geometry Codes defined over some families of surfaces
    Arithmetic, Geometry, Cryptography and Coding theory (2019), Contemp. Math., Amer. Math. Soc
    PDF file and arXiv file

  • With Nicolas Meloni and Pascal Veron (the Nicoteam) :
  •   Compact variable base ECC scalar multiplication using Euclidean addition chains
    18th International Conference on Security and Cryptography (SECRYPT 2021), Jul 2021, Online Event, Italy PDF File

    With Yves Aubry and Ali Issa
  • Polynomials with maximal differential uniformity and the exceptional APN conjecture
    Journal of Algebra (July 2023) arXiv (July 2022)
    In press

  • With Yves Aubry and Julien Monaldi
  • Closed points on curves over finite fields
    NEW arXiv (Oct 2023)

PhD students :

  • Ali Issa (2019-2022, co-supervised with Yves Aubry)
  • Julien Monaldi (2020-in progress, co-supervised with Yves Aubry)

Publications pédagogiques :


    Avec Dany-Jack Mercier :
  • Questions du jury d'oral du CAPES de mathématiques & réflexions sur la préparation, Publibook, (2010).
    PUB

  • With Pascal Veron :
  • Partage d'un secret
    Au Fil des Maths, revue de l'APMEP numéro 358 de Décembre 2020
    PDF file

Thèse :
  • Cycles algébriques sur la jacobienne d'une courbe ( PDF )