34 citations · 38 across the 7 of their papers we have counts for
7 papers
The Artin--Rees lemma and size of spaces over nonassociative complete filtered rings
Jayanta Manoharmayum
This paper studies nonassociative filtered rings using associated gradations. We show that a complete filtered ring with affine associated graded ring generated in degree i…
The inverse deformation problem
Timothy Eardley, Jayanta Manoharmayum
We show the inverse deformation problem has an affirmative answer: given a complete local noetherian ring with finite residue field , we show that there is a topologic…
A structure theorem for subgroups of over complete local Noetherian rings with large residual image
Jayanta Manoharmayum
Given a complete local Noetherian ring $(A,\m_A)$ with finite residue field and a subfield of $A/\m_A$, we show that every closed subgroup of such that $G\m…
Lifting -dimensional Galois representations to characteristic zero
Jayanta Manoharmayum
Let be a number field, let be an integer, and let be a finite field of characteristic . We show that if $\rb:G_F\longrightarrow GL_N(k)$ is a continuous rep…
Higher congruence companion forms
Rajender Adibhatla, Jayanta Manoharmayum
For a rational prime we consider -ordinary, Hilbert modular newforms of weight with associated -adic Galois representations and red…
On the modularity of supersingular elliptic curves over certain totally real number fields
Frazer Jarvis, Jayanta Manoharmayum
We study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reducti…