James Taylor

I am a Heilbronn Research Fellow at the University of Bristol. My interests are in algebra, number theory, and representation theory.

Previously I was a research fellow in Padova, an LMS early career research fellow at the University of Cambridge, and before that a PhD student at the University of Oxford.

My CV is available here.

Email: james.h.a.taylor @ bristol.ac.uk

Preprints:

Character Theory for Semilinear Representations arXiv: 2511.04296.

Equivariant Vector Bundles with Connection on Drinfeld Symmetric Spaces

To appear in Algebra and Number Theory. arXiv: 2406.14543.

Publications:

The Categories of Lubin-Tate and Drinfeld Bundles

Journal of the Institute of Mathematics of Jussieu, Volume 25, Issue 3, May 2026, pp. 1579 - 1616. Journal Version. arXiv: 2503.24221.

Brauer's 14th Problem and Dyson's Tenfold Way (with D. Rumynin)

Journal of Algebra, Volume 685, 1 January 2026, Pages 463-473. Journal Version. arXiv: 2503.10590.

Line Bundles on The First Drinfeld Covering

Épijournal de Géométrie Algébrique, Volume 8 (2024), Article no. 16. Journal Version. arXiv: 2307.12942.

The Picard Group of Vertex Affinoids in the First Drinfeld Covering

Mathematical Proceedings of the Cambridge Philosophical Society, Volume 175, Issue 2, Sept. 2023, Pages 423-432. Journal Version. arXiv: 2111.09746.

Real Representations of C2-Graded Groups: The Linear and Hermitian Theories (with D.Rumynin)

Higher Structures, Volume 6, Issue 1, July 2022, Pages 359-374. Journal Version. arXiv: 2008.07846.

Real Representations of C2-Graded Groups: The Antilinear Theory (with D.Rumynin)

Linear Algebra and its Applications, Volume 610, Feb. 2021, Pages 135-168. Journal Version. arXiv: 2006.09765. Errata.

Notes

A talk I gave on the Formalism of Admissible p-adic Representations
A talk I gave on the Lubin-Tate Tower
A talk I gave on the definition of the Montreal Functor
A talk I gave on the Bass-Quillen Conjecture
An exposition of the proof of Chevalley's Restriction Theorem
Non-Commutative Ring Theory course notes
A fun talk I gave on the Artin-Schreier Theorem
A talk I gave on Holonomic Frobenius Modules
Three Introductory Lectures on Representation Theory of Finite Groups