# Biography

I am a PhD student of Dr Stuart Martin’s at the University of Cambridge. I study modular representation theory - the actions of algebraic structures on vector spaces in finite charactersitic.

In my spare time, I am an archer and enjoy coding.

### Interests

• Modular Representation Theory
• Diagramatic Algebras

### Education

• MASt (Pure Mathematics), 2018

University of Cambridge

• BSc (Hons) in Mathematics, 2016

University of Cape Town

• BSc (Applied Mathematics, Mathematics and Physics), 2015

University of Cape Town

# Recent Publications

### (l, p)-Jones-Wenzl Idempotents

The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop …

### The Modular Temperley-Lieb Algebra

We determine the decomposition numbers for $TL_n$ over arbitrary rings, as well as the dimensions of all simple modules. We obtain these results from diagramatic principles, without appealing to realisations of $TL_n$ as endomorphism algebras of $U_q(\mathfrak{sl}_2)$ modules.