The Eisenstein ideal with squarefree level
P Wake, C Wang-Erickson - Advances in Mathematics, 2021 - Elsevier
We use deformation theory of pseudorepresentations to study the analogue of Mazur's
Eisenstein ideal with squarefree level. Given a prime number p> 3 and a squarefree number …
Eisenstein ideal with squarefree level. Given a prime number p> 3 and a squarefree number …
On higher congruences between automorphic forms
We prove a commutative algebra result which has consequences for congruences between
automorphic forms modulo prime powers. If C denotes the congruence module for a fixed …
automorphic forms modulo prime powers. If C denotes the congruence module for a fixed …
On deformation rings of residual Galois representations with three Jordan-Holder factors and modularity
X Huang - arXiv preprint arXiv:2308.02708, 2023 - arxiv.org
In this paper, we study Fontaine-Laffaille, self-dual deformations of a mod p non-semisimple
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …
Galois representation of dimension n with its Jordan-Holder factors being three mutually non …
Modularity of residual Galois extensions and the Eisenstein ideal
For a totally real field $ F $, a finite extension $\mathbf {F} $ of $\mathbf {F} _p $, and a
Galois character $\chi: G_F\to\mathbf {F}^{\times} $ unramified away from a finite set of …
Galois character $\chi: G_F\to\mathbf {F}^{\times} $ unramified away from a finite set of …