Welcome!

I am currently an assistant in the Computational Arithmetic Geometry Group at the University of Heidelberg.
Before that I worked as a postdoctoral fellow at the Max Planck Institute for Mathematics and in
the Arithmetic Algebraic Geometry group of the University of Bonn.
In 2014, I completed my Ph.D. at Imperial College London under the supervision of Prof. Kevin Buzzard .



I am interested in the Langlands programme via arithmetic geometry.
In particular, I am interested in the p-adic and mod p aspects of Langlands functoriality. I like to study p-adic functoriality using non-archimedean geometry, e.g. via eigenvarieties and using the theory of rigid analytic spaces or through towers of (local) Shimura varieties using the theory of perfectoid spaces.

Preprints

Publications



Summersemester 2019 Past Teaching:
Wintersemester 2018/19 Wintersemester 2016/17


In August 2016, I gave a Minicourse on Mod p Langlands correspondences via arithmetic geometry at KIAS. You can find notes of this course here .

Posters:
Here is a poster explaining the results of my paper "L-Indistinguishability on Eigenvarieties".
Here is a motivational poster giving a brief introduction to the Langlands programme, aimed at master students.



Dr. Judith Ludwig
IWR (Interdisciplinary Center for Scientific Computing)
University of Heidelberg
Im Neuenheimer Feld 205
69120 Heidelberg
Germany
Email: judith.ludwig (add @iwr.uni-heidelberg.de)