P. Harris

collaborators

2 papers

math.NT2026

Prime isogenous discriminant ideal twins

Alexander J. Barrios, Maila Brucal-Hallare, Alyson Deines +2

Let $E_{1}$ and $E_{2}$ be elliptic curves defined over a number field $K$ . We say that $E_{1}$ and $E_{2}$ are discriminant ideal twins if they are not $K$ -isomorphic and have the…

math.NT2025

Prime and thickened prime components in Apollonian circle packings

Holley Friedlander, Elena Fuchs, Piper Harris +5

Inspired by a question of Sarnak, we introduce the notion of a prime component in an Apollonian circle packing: a maximal tangency-connected subset having all prime curvatures. We…