PhD Student in Pure Mathematics

University of Cambridge

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.

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