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math.NT2025
Families of curves in Vinberg representations
Jef Laga, Beth Romano
Inspired by orbit parametrizations in arithmetic statistics, we explain how to construct families of curves associated to certain nilpotent elements in -gra…
math.NT2025
An LLL algorithm with symmetries
Beth Romano, Jack A. Thorne
We give a generalisation of the Lenstra-Lenstra-Lovász (LLL) lattice-reduction algorithm that is valid for an arbitrary (split, semisimple) reductive group . This can be regard…