3 papers
math.NT2025
Mod-5 Galois images from abelian surfaces
Aidan Hennessey, Mathilde Kermorgant, Andy Zhu
For an abelian surface, the Galois representation $\varrho_{J, \ell} : {\rm Gal}(\overline{\mathbb{Q}}/\mathbb{Q}) \rightarrow {\rm Aut}(J[\ell]) \simeq {\rm GSp}_4(\mathbb{F}_…
math.CO2024
Tree and Tripod Nim
Aidan Hennessey
This paper introduces a variant of the impartial combinatorial game nim, called tree nim, as well as a particular case of tree nim called tripod nim. A certain existence-uniqueness…
math.GT2024
Constructing many-twist Möbius bands with small aspect ratios
Aidan Hennessey
This paper presents a construction of a folded paper ribbon knot that provides a constant upper bound on the infimal aspect ratio for paper Möbius bands and annuli with arbitrarily…