We discuss several arithmetic aspects of Bianchi groups, especially from a computational
point of view. In particular, we consider computing the homology of Bianchi groups together …

For certain algebraic Hecke characters χ of an imaginary quadratic field F we define an
Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL2/F …

We introduce a new method of proof for R= T theorems in the residually reducible case. We
study the crystalline universal deformation ring R (and its ideal of reducibility I) of a mod p …

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 …

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 …

We prove the modularity of certain residually reducible p-adic Galois representations of an
imaginary quadratic field assuming the uniqueness of the residual representation. We obtain …

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 …

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 …

Arithmetic Algebraic Geometry Page 1 Arithmetic Algebraic Geometry 11Gxx [1] Amod Agashe,
Kenneth Ribet, and William A. Stein, The Manin constant, Pure Appl. Math. Q. 2 (2006), no. 2 …