Jollywatt blog ⊕ portfolio

Research

Geometric Algebra for Special Relativity and Manifold Geometry · PDF

Master’s thesis in mathematical physics. Read more


Explicit Baker–Campbell–Hausdorff–Dynkin formula for Spacetime via Geometric Algebra · arχiv

In brief. In \(≤4\) dimensions, there’s a simple formula for the bivector \(σ_3\) in terms of bivectors \(σ_1\) and \(σ_2\) such that \(e^{σ_1}e^{σ_2} = ±e^{σ_3}\). Abstract. We present a compact Baker–Campbell–Hausdorff–Dynkin formula for the composition of Lorentz transformations \(e^{σ_i}\) in the spin representation (a.k.a. Lorentz rotors) in terms of their... Read more


An Overview of the Strong CP Problem and Axion Cosmology · PDF

Literature review supervised by Dr. Jenni Adams at the University of Canterbury. I wanted to learn more about particle physics after my Bachelor’s, so a year of part-time study culminated in this literature review. I learned basic classical (and a little quantum) field theory, and read about the “strong \(CP\)... Read more


Asymptotic Structure and Symmetries of FLRW Universes · PDF

Honours project supervised by Prof. David Wiltshire at the University of Canterbury. There is a fascinating relationship between the asymptotic symmetries of spacetime and gravitational waves and memory, sometimes referred to as The Infrared Triangle. We investigated the asymptotic structures of simple cosmological spacetimes, extending the usual analysis for flat... Read more


Computing Crystal Band Structures with CP2K · PDF

Summer project about the theory behind numerical computation of the semiconductor band structure of crystals using the open source software CP2K. Full PDF. Read more


Visualising the Freudenreich 1998 Model of the Galactic Bar and Disk · PDF

Cosmology summer project in which we reproduced an empirical model of our galaxy’s centre and wrote code to visualise it. Full PDF. Read more