Her group is varied and diverse and covers both observational and theoretical research areas. Her observational program utilises world class equipment such as the Australia Telescope Compact Array, the Gemini Telescopes, the Hubble Space Telescope and the Chandra X-ray Observatory amongst other instruments. She is a key member of an international consortium involving Australian and American astrophysicists who have designed and built a new low frequency radio telescope at Boolardy in Western Australia, known as the Murchison Widefield Array (MWA). This major project aims to detect the first sources in the universe. Such information is gleaned from her theoretical studies and detection of reionised hydrogen atoms and the structural analysis of neutral hydrogen clouds. Professor Webster's other research interests include quasar emission regions, gravitational lensing and cosmology. She has a keen interest in issues around sustainability and climate change, with a side interest in the physics of geothermal energy.