What I'm Working On
I'm very interested in the mathematical underpinnings of accelerator physics, and specifically beam dynamics. Since the 1970's, symplectic integrators have been developed by considering Lie algebraic representations of particle accelerators. This has sped up particle tracking simulations by orders of magnitude, and is essential for large ensembles or many turn runs. I'm currently learning about the intricacies of these integrators to better understand their power and limitations.
I'm also exploring applications of topology in accelerator physics, which could help identify persistent structures in the massive datasets generated by these machines, helping to inform machine learning (ML) methods.
Research interests
Non-linear Beam Dynamics
Differential Geometry
Topology
TDA
Bayesian Optimisation