Title: Probing Compact Objects through Gravitational Waves
Abstract: Gravitational waves provide a unique window into the physics of compact objects and their environments. I will present recent advances in three areas: (i) magnetic effects in neutron star binaries, (ii) eccentric inspirals with enhanced early-warning strategies, and (iii) a generalized framework to study deviations from Keplerian dynamics. I will also discuss constraints from continuous wave searches on the Galactic population of deformed compact objects. Together, these results show how current and next-generation detectors can probe magnetic fields, environmental influences, and dense-matter signatures, while strengthening early-warning capabilities through gravitational-wave observations.