Publications

  Journaux et Proceedings

• Fast computation of integral bases (with A. Poteaux)   pdf
  Proceedings of Computer Algebra and Scientific Computing (CASC'24), Lecture Notes in Computer Sciences (2024, to appear).
  
  
• Polynomial factorization over henselian fields (with M. Alberich, J. Guàrdia, E. Nart, A. Poteaux and J. Roé)   pdf
  Journal of Foundations of Computational Complexity (2024, to appear).
  
  
• Local polynomial Factorization : improving the Montes algorithm (with A. Poteaux)   pdf
  Proceedings of International Symposium on Symbolic and Algebraic Computations (ISSAC'22), Lilles, pp. 149-157 (2022).
  
  
• A quasi-linear irreducibility test in K[[x]][y] (with A. Poteaux)   pdf
  Journal of Computational Complexity, Vol. 31, pp. 1-52 (2022).
  
  
• Computing Puiseux series : a fast divide and conquer algorithm (with A. Poteaux)   pdf
  Annales Henri Lebesgue, Vol. 4, pp. 1061-1102 (2021).
  
  
• The geometry of the flex locus of a hypersurface (with L. Busé, C. D'Andrea, M. Sombra)   pdf
  Pacific Journal of Mathematics, Vol. 304, no.2, pp. 419-437 (2020).
  
  
• Computing the equisingularity type of a pseudo-irreducible polynomial (with A. Poteaux)   pdf
  Applicable Algebra in Engineering, Communication and Computing, Vol. 31, pp. 435-460 (2020).
  
  
• Plane Curves With Minimal Discriminant (with D. Simon)  pdf
  Journal of Commutative Algebra, Vol. 10, no 4, pp. 559-598 (2018).
  
  
• Bivariate factorization using a critical fiber   pdf
  Journal of Foundations of Computational Mathematics, Vol. 17, no 5, pp. 1219-1263 (2017).
  
  
• Computational aspects of gonal maps (with F-O. Schreyer and J. Schicho)  pdf
  Applicable Algebra in Engineering, Communication and Computing, Vol. 24, no 5, pp. 313-341 (2013).
  
  
• Factoring bivariate polynomials using adjoints   pdf
  Journal of Symbolic Computation, Vol. 58, pp. 77-98 (2013).
  
  
• Concavity, Abel-transform and the Abel-inverse Theorem in smooth complete toric varieties   pdf
  Collectanea Mathematica, Vol. 64, no 1, pp. 111-133 (2013).
  
  
• Algebraic osculation and factorization of sparse polynomials   pdf
  Journal of Foundations of Computational Mathematics, Vol.12, no.2, pp. 173-201 (2012).
  
  
• A lifting and recombination algorithm for rational factorization of sparse polynomials   pdf
  Journal of Complexity, Vol. 26, no 6, pp. 608-628 (2010).
  
  
• Towards Toric Absolute Factorization (avec M. Elkadi et A.Galligo)   pdf
  Journal of Symbolic Computation, Vol. 44, no. 9, pp. 1194-1211 (2009).
  
  
• An interpolation theorem in toric varieties   pdf
  Annales de l'Institut Fourier, Vol. 58, no 4, pp. 1371-1381 (2008).
  
  
• Trace et calcul résiduel, une nouvelle version du théorème d'Abel-inverse, formes abéliennes   pdf
  Annales de Toulouse, Sér.6, Vol.16, no.2, pp. 397-424 (2007).

  Communications dans des conférences internationales

• Computing the genus of plane curves with cubic complexity   pdf
  Communication in ACA 2019, Application of Computer Algebra, Montreal, Canada (2019).
  
  
• Toric factorization of polynomials   pdf
  Communications in EACA 2010, XII Encuentro de Algebra Computacional y Aplicaciones, Saint Jacques de Compostelle, Espagne, pp. 215-219 (2010).
  
  
• Absolute Factoring of bidegree Bivariate Polynomials (avec G. Chèze, M. Elkadi et A.Galligo)   pdf
  Communication in ISSAC 2008, ACM Communication in Computer Algebra, Vol. 42, no.3, pp. 151-153 (2008).

  Contributions à des livres

• Computer Algebra and Polynomials, Applications of Algebra and Number Theory   book
  J. Gutierrez, J. Schicho, M. Weimann (Eds.), Springer (2015)
  
  
• Chapter book Systèmes hamiltoniens intégrables (Conference by Michèle Audin)   pdf
  Leçons de mathématiques d'aujourd'hui, présentées par F. Bayart et E. Charpentier, vol. 4, Ed. Cassini (2010).

  Mémoires

• Habilitation à diriger des recherches : Incursions en géométrie algébrique effective et calcul formel   pdf
  
  
• Thèse : La Trace en géométrie projective et torique   pdf
  Under the supervision of Alain Yger .
  
  
• Mémoire de M2 : Formes méromorphes et holomorphes sur un ensemble analytique. Généralisation d'un théorème d'Abel   pdf
  
  
• Mémoire de M1 : Courbes elliptiques complexes   pdf

  Autres écrits

• Notes d'un cours doctoral : Introduction to valued fields   pdf
  
  
• Notes d'un exposé grand public : Vers l'infini   pdf