Alireza Shavali

About me: 

I am a posdoc at the University of Heidelberg in the research 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 Ph.D., I thought about problems related to irreducibility and monodromy of automorphic Galois representations. Right now, I am interested in questions about the geometry of eigenvarieties. 

Preprints and Publications: 

1. Irreducibility and Monodromy of Automorphic Galois Representations of GL(4), 2026 (submitted)

2. On the Image of Automorphic Galois Representations, 2025 (to appear in International Mathematics Research Notices)

3. On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms, 2025 (submitted)

4. On Biplanar and k-planar Crossing Numbers (with H. Zarrabi-Zadeh), Discrete Applied Mathematics, 2022 

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