Staff profile

• Number Theory
• Representation theory

Journal Article

• Shotton, J. (2023). Irreducible components of the moduli space of Langlands parameters. International Mathematics Research Notices, https://doi.org/10.1093/imrn/rnad274
• Li, T., & Shotton, J. (2023). On Endomorphism Algebras of Gelfand-Graev Representations II. Bulletin of the London Mathematical Society, https://doi.org/10.1112/blms.12899
• Shotton, J. (2022). Generic local deformation rings when l≠p. Compositio Mathematica, 158(4), 721-749. https://doi.org/10.1112/s0010437x22007461
• Manning, J., & Shotton, J. (2021). Ihara’s Lemma for Shimura curves over totally real fields via patching. Mathematische Annalen, 379, 187-234. https://doi.org/10.1007/s00208-020-02048-8
• Shotton, J. (2020). The category of finitely presented smooth mod p representations of GL_2(F). Documenta Mathematica, 25, 143-157. https://doi.org/10.25537/dm.2020v25.143-157
• Shotton, J. (2018). The Breuil–Mézard conjecture when l≠p. Duke Mathematical Journal, 167(4), 603-678. https://doi.org/10.1215/00127094-2017-0039
• Shotton, J. (2016). Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p. Algebra & Number Theory, 10(7), 1437-1475. https://doi.org/10.2140/ant.2016.10.1437