I am particularly interested in the study of vacuum spacetimes (i.e. binary black hole systems) in general relativity (as well as other theories of gravity), and their study through numerical relativity. Numerical relativity consists of building a 4-dimensional spacetime out of 3-dimensional spatial slices, where Einstein’s equations are decomposed into two sets of equations: constraint equations, which tells us what type of data is permissible on each slice, and evolutions equations, which tell us how quantities evolve between two neighbouring slices. This decomposition of a space-time readily allows us to apply techniques from numerical analysis to build spacetimes: one can specify “initial data” on one slice, and use the evolution equations to build an entire spacetime. As such, my PhD will pertain to relevant numerical schemes, construction of initial data for binary black hole simulations, as well being a contributing member of the SXS collaboration.
Here's a link to my publication Modelling road cycling as motion on a curve.
Here’s a link to my INSPIRE account.
2017-2021: BSc in Applied and Computational Mathematics at University College Dublin, Ireland.
2021: Graduate research internship with the HIGHWAVE project at University College Dublin, Ireland.
2020: Student research internship with the School of Mathematics and Statistics at University College Dublin, Ireland.