Foundations of Strongly Lensed Supernova Cosmology

This dissertation presents solutions to some problems associated with using strongly gravitationally lensed supernovae (gLSNe) to measure the cosmological parameters. Chief among these are new methods for finding gLSNe and extracting their time delays in the presence of microlensing. The first of these results increased the expected gLSN yields of the Zwicky Transient Facility and the Large Synoptic Survey Telescope, upcoming wide-field optical imaging surveys, by an order of magnitude. The latter of these results involved performing simulations of radiation transport in supernova atmospheres. These simulations provided evidence that some Type Ia supernovae come from sub-Chandrasekhar mass progenitors