Projects

Supervisor: Professor Latham Boyle. Master’s Essay. Towards constructing a mathematical framework to generalise the use of reflection groups in classifying discrete symmetries of Lorentzian spaces. We present a generalisation of the notion of crystallographic symmetry, an important property in the classical study of lattices and reflection groups, and then demonstrate substantial differences between reflection groups in Euclidean spaces vs Lorentzian spaces.

Supervisor: Professor Freddy Cachazo. Investigating tree-level scattering amplitudes for gluons in Yang-Mills. By utilising colour decomposition, we consider partial amplitude formulas in the case of 3 negative-helicity gluons; in particular, we study their singularity structure using projective geometry.

Supervisors: Professor Roger Melko, Schuyler Moss. Extending recent work pioneered at PiQuIL in approximating the groundstate wavefunction of a quantum lattice system using Recurrent Neural Networks: Investigated the effect of error and noisiness of the quantum data on the accuracy of the wavefunction and other physical quantities.