Her broad research interests include measurements of black hole masses, the connection between supermassive black holes and galaxies, stellar and gas kinematics of galactic nuclei, and diffuse light in galaxy clusters. A recent study from 2022, "The Nature of Low-surface-brightness Galaxies in the Hyper Suprime-Cam Survey" highlights Greene's research contributions in utilizing innovations in imaging technology for an intensive study in the ability to distinguish and identify low-surface-brightness galaxies.