Radio observations and multi-dimensional simulations of the expanding remnant of SN 1987A

[Truncated abstract] Core-collapse supernovae are the endpoint of evolution for massive stars. They enrich the universe with heavy elements and provide a feedback mechanism that regulates star formation by heating gas and driving it away from galaxies. In addition, the shocks supernovae generate are an important contributor to the cosmic ray flux by accelerating particles at the expanding shock. In order to quantify the effects a supernova has on its environment, I present observations and multi-dimensional simulations of the expanding remnant of the Type-II P supernova SN 1987A. This supernova was the brightest to be observed since the invention of the telescope and the first to be detected in neutrinos, thereby confirming theories of core-collapse. It was also the only supernova for which the progenitor was directly observed - surprisingly, as a blue supergiant. Following core-collapse, both SN 1987A and its interaction with its circumstellar environment were observed and monitored across the electromagnetic spectrum. As part of a continued monitoring program for SN 1987A, I present 36 GHz observations of the remnant taken in 2008 at a diffraction-limited resolution of 0.3" - 0.4". The observations show an elliptical ring consistent with monitoring observations at lower frequencies between 1 and 8 GHz...