Shaunak V. Deo

activity

20182026

most citedUnramifiedness of weight one Hilbert Hecke algebras

1 citations · 3 across the 10 of their papers we have counts for

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12 papers · 1 filter

math.NT2026

A minimal modularity lifting theorem for Siegel modular forms

Shaunak V. Deo, Bharathwaj Palvannan

We prove a minimal modularity lifting theorem (in the spirit of Genestier--Tilouine and Pilloni) in the setting of Siegel modular forms of genus two when the residual representatio…

math.NT2026

On local characterizations of Hida families of Siegel modular forms

Shaunak V. Deo, Bharathwaj Palvannan

We provide new local characterizations of Hida families of Siegel modular forms with genus two arising from stable Yoshida lifts, that is, automorphic inductions of nearly ordinary…

math.NT2022

Mod- $2$ Hecke algebras of level $3$ and $5$

Shaunak V. Deo, Anna Medvedovsky

We use deformation theory to study the big Hecke algebra acting on mod-2 modular forms of prime level $N$ and all weights, especially its local component at the trivial representat…

math.NT2022

Non-optimal levels of some reducible mod $p$ modular representations

Shaunak V. Deo

Let $p \geq 5$ be a prime, $N$ be an integer not divisible by $p$ , $ρ ˉ_{0}$ be a reducible, odd and semi-simple representation of $G_{Q, N p}$ of dimension $2$ and $\{\ell_…

math.NT2022★ 1 cited

On the $μ$ equals zero conjecture for the fine Selmer group in Iwasawa theory

Shaunak V. Deo, Anwesh Ray, R. Sujatha

We study the Iwasawa theory of the fine Selmer group associated to certain Galois representations. The vanishing of the $μ$ -invariant is shown to follow in some cases from a natura…

math.NT2021

The Eisenstein ideal of weight $k$ and ranks of Hecke algebras

Shaunak V. Deo

Let $p$ and $ℓ$ be primes such that $p > 3$ and $p ∣ ℓ - 1$ and $k$ be an even integer. We use deformation theory of pseudo-representations to study the completion of the He…

math.NT2021★ 1 cited

On density of modular points in pseudo-deformation rings

Shaunak V. Deo

Given a continuous, odd, reducible and semi-simple $2$ -dimensional representation $ρ ˉ_{0}$ of $G_{Q, N p}$ over a finite field of odd characteristic $p$ , we study the relat…

math.NT2019★ 1 cited

Unramifiedness of weight one Hilbert Hecke algebras

Shaunak V. Deo, Mladen Dimitrov, Gabor Wiese

We prove that the Galois pseudo-representation valued in the mod $p^{n}$ cuspidal Hecke algebra for GL(2) over a totally real number field $F$ , of parallel weight $1$ and level prime…

math.NT2019

Effect of increasing the ramification on pseudo-deformation rings

Shaunak V. Deo

Given a continuous, odd, semi-simple $2$ -dimensional representation of $G_{Q, N p}$ over a finite field of odd characteristic $p$ and a prime $ℓ$ not dividing $N p$ , we st…

math.NT2018

Newforms mod p in squarefree level, with applications to Monsky's Hecke-stable filtration

Shaunak V. Deo, Anna Medvedovsky, Alexandru Ghitza

We propose an algebraic definition of the space of l-new mod-p modular forms for Gamma0(Nl) in the case that l is prime to N, which naturally generalizes to a notion of newforms mo…

math.NT2018

On the Hilbert eigenvariety at exotic and CM classical weight 1 points

Adel Betina, Shaunak V. Deo, Francesc Fité

Let $F$ be a totally real number field and let $f$ be a classical cuspidal $p$ -regular Hilbert modular eigenform over $F$ of parallel weight $1$ . Let $x$ be the point on the $p$ -ad…

math.NT2018

Dihedral Universal Deformations

Shaunak V. Deo, Gabor Wiese

This article deals with universal deformations of dihedral representations with a particular focus on the question when the universal deformation is dihedral. Results are obtained…

A minimal modularity lifting theorem for Siegel modular forms

On local characterizations of Hida families of Siegel modular forms

Mod-2 Hecke algebras of level 3 and 5

Non-optimal levels of some reducible mod p modular representations

On the μ equals zero conjecture for the fine Selmer group in Iwasawa theory

The Eisenstein ideal of weight k and ranks of Hecke algebras

On density of modular points in pseudo-deformation rings

Unramifiedness of weight one Hilbert Hecke algebras

Effect of increasing the ramification on pseudo-deformation rings

Newforms mod p in squarefree level, with applications to Monsky's Hecke-stable filtration

On the Hilbert eigenvariety at exotic and CM classical weight 1 points

Dihedral Universal Deformations

Mod- $2$ Hecke algebras of level $3$ and $5$

Non-optimal levels of some reducible mod $p$ modular representations

On the $μ$ equals zero conjecture for the fine Selmer group in Iwasawa theory

The Eisenstein ideal of weight $k$ and ranks of Hecke algebras