Alireza Shavali

Alireza Shavali

Postdoc

Biography

Alireza Shavali is a postdoctoral researcher in the Arithmetic Geometry group at Heidelberg University, working with Prof. Dr. Judith Ludwig. He is part of the CRC-326 GAUS (Geometry and arithmetic of uniformized structures). He completed his PhD in Mathematics at Heidelberg University (2021-2025) under the supervision of Prof. Dr. Gebhard Böckle, and holds an MSc in Mathematics from Sharif University of Technology, Iran (2018-2021). His research focuses on the arithmetic aspects of the Langlands programme, p-adic Galois representations, automorphic forms, and the geometry of eigenvarieties. His recent work includes studies on the image of automorphic Galois representations and the endomorphism algebra of abelian varieties associated with Hilbert modular forms.

Research Interests

Arithmetic aspects of the Langlands programme, p-adic Galois representations, p-adic families of automorphic forms, irreducibility of automorphic Galois representations, computing monodromy, geometry of eigenvarieties

Publications

On the Image of Automorphic Galois Representations (2025)
Alireza Shavali
arXiv preprint arXiv:2502.10799
On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms (2024)
Alireza Shavali
arXiv preprint arXiv:2410.20223
New Bounds on the Biplanar and $k$-Planar Crossing Numbers (2019)
Joint with A. Shavali, H. Zarrabi-Zadeh
CCCG 2022

Teaching

Vorlesung Modularity and Galois Representations (Winter 2024)
Lecture
Hauptseminar Arithmetik von Zahl- und Funktionenkörpern: Shtukas for reductive groups and global Langlands correspondence after Vincent Lafforgue (Summer 2024)
Seminar
Vorlesung Algebra 2 (Summer 2024)
Lecture
Vorlesung Algebra 1 (Winter 2023)
Lecture
Contact Details
alireza.shavali@iwr.uni-heidelberg.de
+49-(0)6221-54 14714
Room: 03/335
Links & Resources
Website