Rate My Professor Jack Shotton

Shotton's research centers on number theory and representation theory, particularly Galois representations and arithmetic properties of automorphic forms, contributing to the p-adic Langlands program. His publications include 'Local deformation rings for GL2 and a Breuil–Mézard conjecture when l≠p' (Algebra & Number Theory, 2016), 'The Breuil–Mézard conjecture when l≠p' (Duke Mathematical Journal, 2018), 'The category of finitely presented smooth mod p representations of GL_2(F)' (Documenta Mathematica, 2020), 'Ihara’s lemma for Shimura curves over totally real fields via patching' with Jeffrey Manning (Mathematische Annalen, 2021), 'Generic local deformation rings when l≠p' (Compositio Mathematica, 2022), and 'On endomorphism algebras of Gelfand–Graev representations II' with Tzu-Jan Li (Bulletin of the London Mathematical Society, 2023). He has supervised PhD student Daniel Funck (2018-2023) and undergraduate projects funded by London Mathematical Society bursaries. Shotton has given invited talks at seminars in Cambridge, Stanford, Heidelberg, and others, organized number theory seminars at Durham and Chicago, and reviewed for journals including Annales Scientifiques de l'École Normale Supérieure. His early achievements include gold, silver, and bronze medals at the International Mathematical Olympiad in 2007, 2006, and 2005. He teaches courses such as Number Theory III, Representation Theory IV, and Cryptography and Codes III.