Andreas-Stephan Elsenhans

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5ranked-venue papers
5as first author
1since 2021 · last 2026
0000-0003-2741-998XORCID · corroborated

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Theory of computation · 5 · 5 first-author · 1 since 2021
YearPublicationVenuePosition
2026 Computing Class Groups and Unit Groups in Magma
abstract
We describe the computation of class groups and unit groups of number fields as implemented in Magma (V2.29). After quickly reviewing the main algorithms based on factor bases, relation collection, and analytic class number evaluation, we distinguish their behavior across formalizable, rigorous, GRH-conditional, and heuristic regimes.
Andreas-Stephan Elsenhans, John Voight
ISSAC1
2019 Computing subfields of number fields and applications to Galois group computations
Andreas-Stephan Elsenhans, Jürgen Klüners
J. Symb. Comput.1
2017 Improved methods for the construction of relative invariants for permutation groups
Andreas-Stephan Elsenhans
J. Symb. Comput.1
2015 Explicit computations of invariants of plane quartic curves
Andreas-Stephan Elsenhans
J. Symb. Comput.1
2012 Invariants for the computation of intransitive and transitive Galois groups
Andreas-Stephan Elsenhans
J. Symb. Comput.1