Dr Jay Taylor
Neumann Fellow
Jay Taylor

About Me

I am a Neumann Fellow at the University of Manchester. Before this I held the following posts:

For more information please see my CV.

Want To Know What I Do?

Together with my colleague Eugenio Giannelli we wrote the following "Snapshot of Modern Mathematics from Oberwolfach". It is an accesible, short, introduction to the representation theory of finite groups aimed at the level of an advanced high school student.

Recent Output

Preprint versions of all articles, together with links to the published versions, are available on the papers page.


I have an avid interest in programming and computational problems concerning finite reductive groups. I am in the process of developing CharLiePy, which is a mix of Python code and handwritten C extensions for improved computational efficiency. More information about CharLiePy can be found by reading the documentation.

Research Interests

My main research interests are in Deligne-Lusztig theory. One overall aim of this theory is to understand the representations of finite reductive groups using geometric methods. In particular I am interested in:


I completed my PhD at the University of Aberdeen, in the department of Mathematics. I started this endeavour in October 2008 and finished in April 2012 under the supervision of Meinolf Geck. The focus of my PhD was on unipotent supports for ordinary characters of finite reductive groups with a disconnected centre.

I did my first degree at the University of York, where I was supervised by Stephen Donkin for my MMath project. It was in this supervision period that I was first introduced to the theory of algebraic groups.