Radio Time-Domain Signatures of Magnetar Birth

The last decade has seen the rapid, concurrent development of new classes of energetic astrophysical transients, including Fast Radio Bursts, Superluminous Supernovae, and ultralong gamma-ray bursts. We consider the implications of an emerging consensus on the origin of these diverse phenomena as different signatures of magnetar birth. We describe how magnetar-powered radio transients from milliseconds to gigaseconds will be used to address diverse physical questions related to the stellar evolution and death, the circum- and intergalactic medium, and fundamental physics on scales ranging from the quantum to cosmological. We argue that high-sensitivity radio interferometer concepts in development will be critical to accessing this science. There is also a growing need for scientists with expertise in new statistical tools and software techniques.