Research and Selected 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.
June 2021: Thin Position for 3-manifolds

A Term Paper for a 3-manifold topology course taught by Dr Joan Licata. We present Scharlemann and Thompson’s notion of thin position for 3-manifolds, as well as a more general Morse theoretic perspective. Available here.
January 2021: Introduction to Quantum Groups

A summer reading project supervised by Professor Mangazeev in preparation for my honours project. The main report is available here, and there are two supplementary documents (here and here) including a detailed worked example.
March 2020: Q-operators in Integrable Systems

A report from my 2019-20 summer research scholar project supervised by Professor Mangazeev. We study Baxter’s “Q-operator” method for reproducing Bethe-Ansatz equations in integrable lattice models in statistical mechanics. Available here.