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Research fields

  • Number Theory
    • Algebraic number theory
    • Class field theory
    • Algorithmic number theory
    • Asymptotic of number fields with given Galois group
    • Cohen-Lenstra heuristics of quadratic number fields
  • Galois Theory
    • Computation of Galois groups
    • Inverse Galois theory
    • Explicit computation of polynomials with given Galois group
    • Embedding problems
  • Computer Algebra
    • Software development in number and Galois theory
    • Creation of (mathematical) databases
    • Factorization of polynomials

Have a look at our database for field extensions of the rationals which contains polynomials for all Galois groups up to degree 19.


I am Editor of  Journal de Théorie des Nombres de Bordeaux and Journal of Computational Algebra.

I was in the organizing comittee of the following conferences:

  • GDMV-Tagung, Paderborn, Deutschland, 05.-09. März 2018.

I was in the program comittee of the following conferences:

  • DMV-Tagung, Saarbrücken, Germany, September 17th - September 20th, 2012 (Member of the Program Committee, Section Number Theory)
  • ANTS-X, Tenth Algorithmic Number Theory Symposium, University of California, San Diego, July 9th - 13th, 2012
  • ANTS VIII Banff, Canada, May 17th - May 22nd, 2008 (Member of the Program Comittee)
  • ISSAC 2008 Hagenberg, Austria, July 20th - July 23rd, 2008 (Member of the Program Comittee)














  • Nikolaus conference, Aachen, December 10th - December 11th, 2010
  • Workshop, Berkeley, July 26th - July 31st, 2010



  • Groups in Algebraic Geometry, Pisa, September 7th - September 18th, 2008
  • Profinite and Asymptotic Group Theory Oberwolfach, Germany, June 22nd - June 28th, 2008
  • Constructive Galois Theory, Oberflockenbach, February 11th - February 15th, 2008



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