Eknath Ghate

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20112026

most citedReduction of Galois Representations of slope 1

21 citations · 61 across the 24 of their papers we have counts for

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4 papers · 1 filter

math.NT2025

The semi-stable Local Langlands Correspondence

Eknath Ghate

We start with background that goes into an Iwahori-theoretic reformulation of the mod $p$ Local Langlands Correspondence (§2). We then explain some classical $p$ -adic functional an…

math.RT2025

Clebsch-Gordan and the theta filtration for modular representations of $GL_{2} (F_{q})$

Srijeet Bhattacharjee, Eknath Ghate, Shivansh Pandey +1

Let $p$ be a prime. We solve two problems in the mod $p$ representation theory of $GL_{2} (F_{q})$ where $q = p^{f}$ . We first prove a Clebsch-Gordan decomposition theor…

math.RT2025

Restriction problem for mod $p$ representations of $GL_{2}$ over a finite field

Eknath Ghate, Shubhanshi Gupta

Let $F_{q}$ be the finite field with $q = p^{f}$ elements. We study the restriction of two classes of mod $p$ representations of $G_{q} = GL_{2} (F_{q})$ to $G_p =…

math.NT2025

Deformations of reducible Galois representations with large Selmer $p$ -rank

Eknath Ghate, Anwesh Ray

Let $p \geq 5$ be a prime number. In this paper, we construct Galois representations associated with modular forms for which the dimension of the $p$ -torsion in the Bloch-Kato Selme…

The semi-stable Local Langlands Correspondence

Clebsch-Gordan and the theta filtration for modular representations of GL2​(Fq​)

Restriction problem for mod p representations of GL2​ over a finite field

Deformations of reducible Galois representations with large Selmer p-rank

Clebsch-Gordan and the theta filtration for modular representations of $GL_{2} (F_{q})$

Restriction problem for mod $p$ representations of $GL_{2}$ over a finite field

Deformations of reducible Galois representations with large Selmer $p$ -rank