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portfolio
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publications
The conjugacy problem and canonical representatives in finitely generated nilpotent groups.
With Bettina Eick.
Journal of Symbolic Computation. Vol 130, 2025, DOI.
We describe algorithms that determine a canonical representative of a conjugacy class of elements, lists and subgroups in finitely generated nilpotent groups. The algorithms thus solve the associated conjugacy problems. They additionally compute the corresponding centralizers or normalizers, respectively.
On the conjugacy problem in Aut(F2) and related problems.
Submitted, 2026.
We consider the automorphism group of the free group of rank 2. We show how to solve the conjugacy problem for automorphisms, how to compute a basis for the fixed-point subgroup of an automorphism, and we introduce a new algorithm to compute a generating set of the centralizer of an automorphism.
On the class-breadth conjecture for algebras and T-groups.
With Bettina Eick.
Journal of Algebra, Volume 703 Special Issue dedicated to R. Parker, 2026, DOI.
We describe an algorithm to compute the breadth of an algebra given by structure constants and show how this can be used to compute the breadth of a finitely generated torsion-free nilpotent group. We give a new proof that the class-breadth conjecture holds in finite-dimensional nilpotent algebras over infinite fields and in finitely generated torsion-free nilpotent groups.
software
Nilcano
Published:
Liebreadth
Published:
AutF2
Published:
talks
Integral Structures in Geometry and Representation Theory.
GRoup theory In Padova.
Characters and Blocks in València
40 Years of GAP and Nikolaus Conference 2026
Computational Group Theory and Applications.
Groups in Madrid.
Gap days spring 2025.
Norddeutsches Gruppentheorie-Kolloquium.
Computational Group Theory.
Gap days summer 2025.
Halle & Friends Algebra Meeting.
Groups and topological Groups.
teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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