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About me

I am maître de conférences of the Université de Limoges. I am a member of the XLIM lab, in the Computer Algebra Team. I have completed a Ph.D. in Mathematics (and applications) in July 2015. I was a student at the IRMAR, in the algebraic geometry team, supervised by Xavier Caruso. I used to teach at the ENS Rennes. I was a JSPS Post-Doc Fellow at Rikkyo University, hosted by Yokoyama Kazuhiro.

My CV

Documents

Here is a module for Sage I have written to compute p-adic or tropical Gröbner bases:

• toy_F5 , it consists of a "toy" implementation of the F5 algorithm, modified for p-adic or tropical computation (work in progress).
• fglm , it consists of a "toy" implementation of the FGLM algorithm, modified for p-adic or tropical computation (work in progress).

Here are some papers I wrote during my study at the ENS Cachan-Antenne de Bretagne.

• summer-2011 internship, end of master degree, supervised by Xavier Caruso (IRMAR)
  • Local class field theory (in french)
  • Beamer (in french)
• summer-2010 internship, first year of master degree , supervised by Prof. Yokoyama Kazuhiro (Rikkyo University).
  • Gröbner bases, Computational Ideal Theory and Computational Invariant Theory
  • Beamer
• summer-2009 internship, end of bachelor degree Guénaël Renault (LIP6).
  • Exemples de groupes, leur traitement par Magma, et applications en cryptographie (in french)
  • Beamer (in french)

Here are some documents (all in French) concerning the French "agrégation" competitive exam :

• Concerning representations :
  • Théorème de Lie-Kolchin ;
  • Classification des représentations de S_4 ;
  • Étude du degré des représentations irréductibles ;
  • Théorème de Molien ;
• Concerning multivariate polynomials :
  • Nullstellensatz et élimination ;
  • Le théorème de Kronecker ;
  • Comptage de racines et formes quadratiques ;
• Concerning numerical computation of solutions of equations of the form "f(x)=0" :
  • La méthode de Newton-Raphson ;
  • La méthode de Newton pour les polynômes ;
  • La méthode de trichotomie.

Here are some notes (all in French) concerning lessons I have taught at the ENS Cachan-Antenne de Bretagne, for the training class for the "agregation" :

• Complément sur l'exponentielle de matrices ;
• Complément sur les systèmes linéaires et la réduction effective de matrice (WIP) ;
• Complément sur quelques applications de la théorie des représentations (WIP) ;
• Notes concerning invariant theory (in French, WIP).