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.