Shalini Bhattacharya

activity

20152026

most citedReduction of Galois Representations of slope 1

21 citations · 21 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2026

Reductions Of Crystalline Representations Of Fractional Slope $< p - 1$

Shalini Bhattacharya, Eknath Ghate, Ravitheja Vangala

Let $p$ be an odd prime and let $V_{k, a_{p}}$ be the two-dimensional crystalline representation of the Galois group of $Q_{p}$ of weight $k \geq 2$ and parameter $a_p \in \ba…

math.NT2026

Behaviour of Certain Crystalline Representations modulo $2$

Shalini Bhattacharya, Arathy Venugopal

We compute the explicit form of the semisimplified reduction modulo $2$ of the $2$ -adic crystalline Galois representations $V_{k, a_{2}}$ at small slopes in $(0, 1]$ , using the compati…

math.NT2018

Reduction of certain crystalline representations and local constancy in the weight space

Shalini Bhattacharya

We study the mod $p$ reduction of crystalline local Galois representations of dimension 2 under certain conditions on its weight and slope. Berger showed that for a fixed non-zero…

math.NT2015★ 21 cited

Reduction of Galois Representations of slope 1

Shalini Bhattacharya, Eknath Ghate, Sandra Rozensztajn

We compute the reductions of irreducible crystalline two-dimensional representations of $G_{Q_{p}}$ of slope 1, for primes $p \geq 5$ , and all weights. We describe the semis…

math.NT2015

Reductions of Galois representations for slopes in $(1, 2)$

Shalini Bhattacharya, Eknath Ghate

We describe the semi-simplification of the mod $p$ reduction of certain crystalline two dimensional local Galois representations of slopes in the interval $(1, 2)$ and all weights.…

Reductions Of Crystalline Representations Of Fractional Slope <p−1

Behaviour of Certain Crystalline Representations modulo 2

Reduction of certain crystalline representations and local constancy in the weight space

Reduction of Galois Representations of slope 1

Reductions of Galois representations for slopes in (1,2)

Reductions Of Crystalline Representations Of Fractional Slope $< p - 1$

Behaviour of Certain Crystalline Representations modulo $2$

Reductions of Galois representations for slopes in $(1, 2)$