Alireza Shavali

About me: 

I am a posdoc at the University of Heidelberg in the group of Judith Ludwig. I am part of the CRC-326 GAUS "Geometry and arithmetic of uniformized structures".

Before that I was a PhD student in the group of Computational Arithmetic Geometry at the University of Heidelberg, under the supervision of Gebhard Böckle. 

Research Interests: 

I am interested in the arithmetic aspects of the Langlands programme, especially p-adic Galois representations and p-adic families of automorphic forms. In my PhD thesis, I studied the image of p-adic Galois representations associated with a regular algebraic cuspidal automorphic representation of GL(n), using the extra-twists of the representation, and constructed (locally) the Mumford-Tate group of the hypothetical motive associated with 'general type' automorphic representations. 

Preprints and Publications: 

1. On the Image of Automorphic Galois Representations, 2025 (submitted)

2. On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms, 2024 (submitted)

3. On Biplanar and k-planar Crossing Numbers (with H. Zarrabi-Zadeh), In Proceedings of the 34th Canadian Conference on Computational Geometry, 2022 

Here you can find my PhD thesis titled "On the Image of Automorphic Galois Representations".