This research uses gravitational lensing to investigate dark matter, the invisible substance that makes up roughly 80% of the Universe's matter. By studying distortions in light caused by massive galaxies, it seeks to identify dark matter structures and determine whether dark matter is clumpy, smooth, cold, warm, concentrated, or diffuse.

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.