Aditya Karnataki

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20212026

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math.NT2021

Families of Galois representations and $(φ, τ)$ -modules

Aditya Karnataki, Léo Poyeton

Let $p$ be a prime, and let $K$ be a finite extension of $Q_{p}$ , with absolute Galois group $G_{K}$ . Let $π$ be a uniformizer of $K$ and let $K_{\infty}$ be the Kummer ex…

math.NT2021

Level-raising for automorphic forms on $G L_{n}$

Aditya Karnataki

Let $E$ be a CM number field and $F$ its maximal real subfield. We prove a level-raising result for regular algebraic conjugate self-dual automorphic representations of $GL_n(\math…

math.NT2021

Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Aditya Karnataki, David E. Rohrlich

We give an unconditional proof that self-dual Artin representations of $Q$ of dimension $3$ have density $0$ among all Artin representations of $Q$ of dimension $…

Families of Galois representations and (φ,τ)-modules

Level-raising for automorphic forms on GLn​

Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Families of Galois representations and $(φ, τ)$ -modules

Level-raising for automorphic forms on $G L_{n}$