Aprameyo Pal

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20182026

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math.NT2025

Perfectoid Spaces in Multivariate $p$ -adic Hodge Theory

Aprameyo Pal, Rohit Pokhrel

Perfectoid spaces have become a crucial tool in $p$ -adic geometry, serving as a bridge between adic spaces in characteristic $0$ and those in characteristic $p$ . In this article, w…

math.NT2025

A $p$ -Converse theorem for Real Quadratic Fields

Muskan Bansal, Somnath Jha, Aprameyo Pal +1

Let $E$ be an elliptic curve defined over a real quadratic field $F$ . Let $p > 5$ be a rational prime that is inert in $F$ and assume that $E$ has split multiplicative reduction at…

math.NT2025

(Algebraic) $p$ -adic Artin formalism of twisted triple product Galois representations over real quadratic fields

Bhargab Das, Aprameyo Pal

In this article, we investigate factorization problems for twisted triple product Galois representations over real quadratic fields, arising from families of Hilbert cusp forms. Sp…

Perfectoid Spaces in Multivariate p-adic Hodge Theory

A p-Converse theorem for Real Quadratic Fields

(Algebraic) p-adic Artin formalism of twisted triple product Galois representations over real quadratic fields

Perfectoid Spaces in Multivariate $p$ -adic Hodge Theory

A $p$ -Converse theorem for Real Quadratic Fields

(Algebraic) $p$ -adic Artin formalism of twisted triple product Galois representations over real quadratic fields