3 papers
math.NT2026
Irreducibility and Monodromy of Automorphic Galois Representations of
Alireza Shavali
We prove that over totally real fields, the -adic Galois representations attached to non-self-dual regular algebraic cuspidal automorphic representations of are…
math.NT2025
On The Image of Automorphic Galois Representations
Alireza Shavali
In this paper, we study extra-twists for automorphic representations of and use them to give a precise description of the image of the Galois representations associ…
math.NT2024
On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms
Alireza Shavali
In this article, we will generalize an explicit formula proved by Quer for the Brauer class of the endomorphism algebra of abelian varieties associated to modular forms of weight 2…