This research investigates gravitational-wave memory, a permanent distortion left in spacetime after black hole mergers. Using computational solutions to Einstein’s equations, the work predicts detectable memory signals for observatories like LIGO, helping probe fundamental spacetime symmetries, gravitational physics, and the connection between classical gravity and quantum theories of the universe.

This research investigates the area law conjecture in quantum physics, which proposes that information shared within quantum systems scales with boundaries rather than total particle number. By developing new mathematical tools for tracking and compressing quantum information, the work aims to simplify the analysis of extremely complex systems in physics, chemistry, and materials science.

This research addresses the challenge of building stable quantum computers by modelling superconducting qubits. It develops simulation tools to predict behaviour, optimise design, and reduce errors caused by environmental disturbances. By improving qubit reliability, the work supports scalable quantum computing capable of solving complex problems beyond classical computational limits.