I am currently a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn.
Before I was a post-doc 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.



Wintersemester 2016/17 Wintersemester 2015/16

Conference on p-adic methods for Galois representations and modular forms .

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 .

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
Max Planck Institute for Mathematics
Office 405, Vivatsgasse 7
53111 Bonn
Email: ludwig (add @mpim-bonn.mpg.de)