Staff Profile

Jack Shotton, PhD Imperial College London
Assistant Professor, Algebra in the Department of Mathematical Sciences
(email at jack.g.shotton@durham.ac.uk)
Research Groups
Department of Mathematical Sciences
- Pure Mathematics
- Pure Mathematics: Algebra & Number Theory
Research Interests
- Number Theory
- Representation theory
Publications
Journal Article
- Manning, Jeffrey & Shotton, Jack (2020). Ihara’s Lemma for Shimura curves over totally real fields via patching. Mathematische Annalen
- Shotton, Jack (2020). The category of finitely presented smooth mod p representations of GL_2(F). Documenta Mathematica 25: 143-157.
- Shotton, Jack (2018). The Breuil–Mézard conjecture when l≠p. Duke Mathematical Journal 167(4): 603-678.
- Shotton, Jack (2016). Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p. Algebra & Number Theory 10(7): 1437-1475.