Staff profile
Overview
https://internal.durham.ac.uk/images/mathematical.sciences/Maths_Staff_2018/Shotton.jpeg
Jack Shotton
Assistant Professor, Algebra
PhD Imperial College London
| Affiliation | Room number | Telephone |
|---|---|---|
| Assistant Professor, Algebra in the Department of Mathematical Sciences | MCS3063 | +44 (0) 191 33 43066 |
Research interests
- Number Theory
- Representation theory
Research groups
- Pure Mathematics: Algebra & Number Theory
Publications
Journal Article
- Shotton, Jack (2022). Generic local deformation rings when l≠p. Compositio Mathematica 158(4): 721-749.
- Manning, Jeffrey & Shotton, Jack (2021). Ihara’s Lemma for Shimura curves over totally real fields via patching. Mathematische Annalen 379: 187-234.
- 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.
Supervision students
Alexander Jackson
2P
Daniel Clark
4P