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Matthew Spencer

I recently completed my Ph.D. under the supervision of Alex Bartel. My area of interest is primarily representation theory, and its applications to number theory and other areas of mathematics.

Specifically, I'm interested in relations between permutation modules , and how these relations can give non-trivial information about certain number theoretic objects. Over the course of my Ph.D. I have classified relations between $\mathbb{F}_p[G]$ permutation modules, both with and without semisimplification. In order to tackle these questions, I study maps between Green functors and their kernels, specifically the unique morphism from the Burnside functor to any Green functor.

For those who are interested, my CV is here: (PDF Document).

Papers:



I can be reached at MdotJdotSpenceratuniversityname.ac.uk .