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.

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