4 citations · 5 across the 3 of their papers we have counts for
8 papers
Signatures of alternating group actions with non-zero quotient genus
Jennifer Paulhus, Aaron Wootton
We classify up to signature all the ways the alternating group can act on a compact Riemann surfaces when the quotient genus is greater than . In particular, we prove that…
Completely decomposable modular Jacobians
Jennifer Paulhus, Andrew V. Sutherland
We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Ja…
Creating a dynamic database of finite groups
Lewis Combes, John W. Jones, Jennifer Paulhus +3
A database of abstract groups has been added to the L-functions and Modular Forms Database (LMFDB), available at https://www.lmfdb.org/Groups/Abstract/. We discuss the functionalit…
On non-normal subvarieties of the moduli space of Riemann surfaces
Rubén A. Hidalgo, Jennifer Paulhus, Sebastián Reyes-Carocca +1
In this article, we consider certain irreducible subvarieties of the moduli space of compact Riemann surfaces determined by the specification of actions of finite groups. We addres…
Algorithmically distinguishing irreducible characters of the symmetric group
Timothy Y. Chow, Jennifer Paulhus
Suppose that and are distinct irreducible characters of the symmetric group . We give an algorithm that, in time polynomial in , constructs such that…
Non-Abelian Simple Groups Act with Almost All Signatures
Mariela Carvacho, Jennifer Paulhus, Tom Tucker +1
The topological data of a group action on a compact Riemann surface is often encoded using a tuple called its signature. There are two easily verifiable arithm…
Completely decomposable Jacobian varieties in new genera
Jennifer Paulhus, Anita M. Rojas
We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers. In particular,…
Branching data for curves up to genus 48
Jennifer Paulhus
An algorithm of Thomas Breuer produces complete lists of automorphism groups of curves for a fixed genus, and the code to execute this algorithm was written in the computer algebra…