3 papers
math.NT2021
The index of in
Noah Taylor
For a prime level , we compute the index of the anemic Hecke algebra of weight 2 level forms inside the full Hecke algebra. We prove that the index is fully described b…
math.NT2020
On Seven Conjectures of Kedlaya and Medvedovsky
Noah Taylor
In a paper of Kedlaya and Medvedovsky, the number of distinct dihedral mod 2 modular representations of level N was calculated, and a conjecture on the dimension of the space of le…
math.NT2018
Sato-Tate Distributions on Abelian Surfaces
Noah Taylor
We prove a few new cases of the Sato-Tate conjecture for abelian surfaces, using a new automorphy theorem of Allen et al. Then in the unproven cases, we use partial results to desc…