We use pseudodeformation theory to study Mazur's Eisenstein ideal. Given prime numbers
N and p> 3, we study the Eisenstein part of the p-adic Hecke algebra for Γ 0 (N). We …

arXiv:1601.03284v4 [math.NT] 13 Mar 2019 Page 1 arXiv:1601.03284v4 [math.NT] 13 Mar
2019 The Jacquet–Langlands correspondence, Eisenstein congruences, and integral L-values …

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 …

Let f be a newform of level 1 and weight (2 κ− n) for positive even integers κ and n. We study
congruence primes for the Ikeda lift of f. In particular, we consider a conjecture of Katsurada …

We study congruences between cuspidal modular forms and Eisenstein series at levels
which are square-free integers and for equal even weights. This generalizes our previous …

In this paper, we study deformations of mod Galois representations (over an imaginary
quadratic field) of dimension whose semi-simplification is the direct sum of two characters …

We prove modularity of certain residually reducible ordinary 2-dimensional $ p $-adic Galois
representations with determinant a finite order odd character $\chi $. For certain non …

Soit p≥ 5 un nombre premier. Pour les formes modulaires elliptiques de poids 2 et de
niveau Γ 0 (N), où N> 6 est sans facteurs carrés, nous donnons une minoration de la …

We use mass formulas to construct minimal parabolic Eisenstein congruences for algebraic
modular forms on reductive groups compact at infinity. For unitary groups of prime degree …

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence
of congruences between certain Eisenstein series and newforms, proving that Eisenstein …