Papers/Preprints

Dec 2025: On semisimplicity criteria and non-semisimple representation theory for the Kadar-Yu algebras

Joint work with Paul Martin. Available on arXiv. Some associated Mathematica code for computing Gram matrices as in section 3 is available here.
June 2025: Temperley-Lieb Categories on Non-Orientable Surfaces

Joint work with Dionne Ibarra and Gabriel Montoya-Vega. Available on arXiv. Some associated Mathematica code for drawing and manipulating SWB diagrams is available here here.

Other Writings

January 2023 (Updated June 2023): A Terminating q-Lauricella Transformation Formula. Here we give a self contained discussion and proof of a charming q-series identity discovered in a previous project. For any integer n>0, it relates two terminating, type D, q-Lauricella series of rank n+1 and 2n-1, respectively.
November 2021: Towards a Factorised Solution of the Yang-Baxter Equation with Uq(sl_4) Symmetry. My Honours thesis, supervised by Professor Vladimir Mangazeev at the Australian National University. Available here.