The front cover of a paper with myself and Dmitriy Rumynin titled '2-Groups, 2-Charracters and the Burnside ring'

Master's Thesis

September 2014 - June 2015

For my masters thesis I worked with Professor Dmitriy Rumynin on an area of Maths called 2-Category theory. We wanted to make these abstract objects more concrete via representation and character theory.

This project was worth one quarter of my final years grade but took a lot more time than that. I had to read research level Mathematical papers and reinterpret what I understood from the papers in to concrete terms. I distinctly remember speaking to Dimitriy in one meeting, a little worn down by the whole process and asking why it all had to be so complicated, he said:

If it was more simple, it would be less beautiful.

Dmitriy Rumynin

So I soldiered on, in this "o so beautiful" world.

In the end my main achievement was writing down a concrete interpretation of the Shapiro's lemma. This provides a relationship between two abstract objects, though this relationship was abstractly constructed. I wrote down what the exact relationship was in concrete terms that you could calculate and in doing so proved the objects had a stronger relationship. This work got published in Advances in Mathematics in 2018.