Aftab Pande

activity

20062018

most citedLocal constancy of dimensions of Hecke eigenspaces of Automorphic forms

4 citations · 5 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2018★ 1 cited

Reductions of modular Galois representations of Slope (2,3)

Enno Nagel, Aftab Pande

We compute the semisimplifications of the mod- $p$ reductions of $2$ -dimensional crystalline representations of the absolute Galois group of the p-adic numbers of slope $(2, 3)$ and…

math.NT2016

Large images of reducible galois representations

Aftab Pande

Given a reducible Galois representation $ρ : G_{Q} \to G L_{2} (F_{q})$ we show there exists an irreducible deformation $ρ: G_{\mathbb{Q}} \rightarrow…

math.NT2013

A short note on p-adic families of Hilbert Modular Forms

Aftab Pande

We extend previous work of the author using an idea of Buzzard and give an elementary construction of non-ordinary $p$ -adic families of Hilbert Modular Eigenforms.

math.NT2011

Growth of Selmer Groups over function fields

Aftab Pande

We study the rank of the $p$ -Selmer group $S e l_{p} (A / k)$ of an abelian variety $A / k$ , where $k$ is a function field. If $K / k$ is a quadratic extension and $F / k$ is a dihedral extensi…

math.NT2009

Deformations of Galois Representations and the Theorems of Sato-Tate, Lang-Trotter and others

Aftab Pande

We construct infinitely ramified Galois representations $ρ$ such that the $a_{l} (ρ)$ 's have distributions in contrast to the statements of Sato-Tate, Lang-Trotter and others. Using…

math.NT2006★ 4 cited

Local constancy of dimensions of Hecke eigenspaces of Automorphic forms

Aftab Pande

We use a method of Buzzard to study p-adic families of different types of modular forms - classical, over imaginary quadratic fields and totally real fields. In the case of totally…