3 papers
math.NT2026
Rational Solids with Equal Surface Area and Volume
Kate Finnerty, Jacob Mayle
We classify pairs consisting of a right square pyramid and a right square prism, each having rational base side length and rational height, for which the two solids have equal surf…
math.NT2026
The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
Kate Finnerty, Tyler Genao, Jacob Mayle +1
In the 1970s, Serre proved that the adelic index of a non-CM elliptic curve over a number field is finite. More recently, Zywina conjectured the complete set of adelic indices for…
math.NT2025
Quadratic Chabauty Experiments on Genus 2 Bielliptic Modular Curves in the LMFDB
Kate Finnerty
We present results of quadratic Chabauty experiments on genus 2 bielliptic modular curves of Jacobian rank 2 that have recently been added to the LMFDB. We apply quadratic Chabauty…