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 .
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.
A inf is infinite dimensional (with Jaclyn Lang), preprint, 2019.
A quotient of the Lubin-Tate tower II (with Christian Johansson, featuring an appendix by David Hansen), preprint, 2019.
The Conjectural Relation between Generalized Shalika Models on SO(4n,F) and Symplectic Linear Models on Sp(4n,F): A Toy Example (with Agnès David and Marcela Hanzer), in Women in Numbers Europe: Research Directions in Number Theory, Springer, 2015. Proceedings.
p-adic functoriality for inner forms of unitary groups in three variables, Mathematical Research Letters, 21(1) , pp. 141-148, 2014. Journal version.
Assistant of lecture Algebra 1 .
Exercises for the course Algebra II .
Arithmetische Geometrie Oberseminar (ARGOS) (with Prof. Peter Scholze):
Arthur's endoscopic classification and level one cusp forms .
I will give a talk at the conference
Local Langlands and p-adic methods, in honour of Jean-Marc Fontaine , Bonn, 13.-17.07.2020
I will give a minicourse at the
2020 PIMS - Germany Summer School on Eigenvarieties, Vancouver, 27.07.-08.08.2020
I recently 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 .
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.
IWR (Interdisciplinary Center for Scientific Computing)
University of Heidelberg
Im Neuenheimer Feld 205
Email: judith.ludwig (add @iwr.uni-heidelberg.de)