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math.NT2026

Bianchi period polynomials: Hecke action and congruences

Lewis Combes

Let be a Bianchi group associated to one of the five Euclidean imaginary quadratic fields. We show that the space of weight period polynomials for is ``dual'' to the…

math.NT2025

Computing Selmer groups associated to mod p Galois representations

Lewis Combes

We present methods to compute Selmer groups associated to mod p Galois representations rho over a number field K, with a particular focus on comparing their ranks with periods comi…

math.NT2024

Expressions for weight 2 cusp forms in holomorphic eta quotients

Elisabeth Chan, Lewis Combes

We attempt to compute expressions in terms of the Dedekind eta function for all weight 2 new cusp forms with level up to 100, using methods of Allen et. al. In cases where no expre…