  In the context of core-collapse supernovae, Strack and Burrows (Phys. Rev. D
71, 093004 (2005)) have recently developed an extension of the classical
Boltzmann kinetic formalism that retains all the standard neutrino oscillation
phenomenology, including resonant flavor conversion (the MSW effect), neutrino
self-interactions, and the interplay between neutrino-matter coupling and
flavor oscillations. In this thesis, I extend the Strack & Burrows formalism to
incorporate general relativity, spin degrees of freedom, and a possible
neutrino magnetic-moment/magnetic-field interaction.
