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



Past Teaching:

Summersemester 2021 Wintersemester 2020/21 Summersemester 2020 Wintersemester 2019/20 Summersemester 2019 Wintersemester 2018/19 Wintersemester 2016/17


Upcoming:
I will be a project group leader at Women in Numbers Europe 4 (Utrecht, 2022).
I am co-organizing a spring school on Non-Archimedean Geometry and Eigenvarietes (Heidelberg, 2023).

Notes:
I recently gave a talk in the seminar Recent Advances in Modern p-Adic Geometry. Here are the notes and a link to the recording.
Here are lecture notes from an (online) course on adic spaces and the eigenvariety machine.
In 2019, I assisted a course on adic spaces. Here is a collection of exercises, that might be useful if you are learning the theory.
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:
Summary of my lectures on p-divisible groups (2019).
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)