60 citations · 62 across the 4 of their papers we have counts for
4 papers
Computing Galois groups of Ehrhart polynomials in OSCAR
Claus Fieker, Tommy Hofmann, Michael Joswig
We report on an implementation of Galois groups in the new computer algebra system OSCAR. As an application we compute Galois groups of Ehrhart polynomials of lattice polytope
Resultants over principal Artinian rings
Claus Fieker, Tommy Hofmann, Carlo Sircana
The resultant of two univariate polynomials is an invariant of great importance in commutative algebra and vastly used in computer algebra systems. Here we present an algorithm to…
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language
Claus Fieker, William Hart, Tommy Hofmann +1
We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algori…
Constructing algebraic Lie algebras
Claus Fieker, Willem de Graaf
We give an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero. It is based on an algorithm for finding integral linear dependencies…