Email: shavali <at> mathi.uni-heidelberg.de
Address:
Ruprecht-Karls-Universität Heidelberg
Faculty of Mathematics and Computer Science
Institute for Mathematics
Im Neuenheimer Feld 205 (Mathematikon)
69120 Heidelberg
Telephone: +49-(0)6221-54 14714
Room: 03/335
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:
On the Image of Automorphic Galois Representations, 2025 (submitted)
On the Endomorphism Algebra of Abelian Varieties Associated with Hilbert Modular Forms, 2024 (submitted)
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".