Explore the fascinating world of rapidly spinning neutron stars and their emission mechanisms in this lecture by Keith Riles, part of the Summer School on Gravitational-Wave Astronomy. Delve into the potential sources of continuous gravitational waves, focusing on rapidly spinning neutron stars in our galaxy. Gain insights into the astrophysics of these extreme objects and the mechanisms behind their gravitational wave emissions. Learn about the latest developments in gravitational-wave astronomy and the ongoing search for these elusive signals using advanced detectors like LIGO, Virgo, and KAGRA.