I am currently a Research Fellow in the University of Manchester Department of Mathematics and part of their algebra and number theory group. I am interested in representation theory and my current research intersects both algebra and number theory. I am currently working on two main research projects. The first of which involves determining composition factors of tensor products of modular representations of algebraic groups. My other project concerns representation theoretic problems in the Langlands programme. In particular I have been studying lattices inside representations of finite groups. I was previously a PhD student at the London School of Geometry and Number Theory jointly supervised by Fred Diamond and Martin Liebeck.
My email adress is miriam dot norris at manchester dot ac dot uk
Here are a list of talks I have given some notes/ slides are linked
On paths in graphs in representation theory and into a PhD in maths, King's College London Women in Science event, Oct. 2021.
The Diameter of Modular McKay Graphs of \(SL_n(\textbf{F}_p)\) with respect to it's standard representation, Postgraduate Group Theory Conference, Nottingham and London Junior Algebra Seminar and Young Algebraist's Conference Jan., Mar., Sep. 2021.
Here are the abstract and slides for the short version of the talk.
Graduated Orders and Their Lattices, Oxford Junior Algebra Seminar, Mar. 2021.
Here is the abstract for the talk.
A Very Brief Introduction to Modular Representation Theory, London Junior Number Theory Seminar, Nov. 2020.
Here is the abstract for the talk.
Serre's Duke Paper, London Number Theorist's Study Group on Serre's weight conjectures, Apr. 2020.
Here are my handwritten notes for the talk.
Introduction to Deligne-Lusztig Theory, Reading Group on Deligne-Lusztig Theory, Feb 2020.
Handwritten notes for all the talks in this reading group can be found here.