ABOUT ME
I was previously a PhD student at the London School of Geometry and Number Theory and part of the King's College London mathematics department. My supervisors were Fred Diamond and Martin Liebeck. I am interested in Representation Theory and my current research intersects areas of both Number Theory and Algebra. In particular I am looking at lattices inside representations of finite groups. Alongside this I have been looking at modular representations of algebraic groups.
I was one of the organisers of the first ever Women In Number theory and Geometry Winter Retreat (2021) and the 23rd Postgraduate Group Theory Conference (2022). I was also an organiser of the Junior London Algebra Colloquium alongside Kamilla Rekvenyi.
My email address was miriam dot norris at kcl dot ac dot uk
Talks
Here are a list of talks I have given some notes/ slides are linked
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On paths in graphs in representation theory and into a PhD in maths, King's College London Women in Science event, Oct. 2021.
Here are the abstract and slides.
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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.
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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.
- Parametrization of Totally Positive Toeplitz Matrices, LSGNT first year project presentations, May 2019.
