This dissertation investigates options that exist to reduce emissions from residential space and water heating over the next few decades. There are four main research questions that I aim to answer: 1. What is the most promising route to decarbonizing residential space and water heating?2. If heating becomes electrified, what new electric loads should we expect?3. How might the building stock transition to electrified heating, and how can this transition occur at minimum cost?4. What policy changes are necessary in California to encourage electrification?These research questions are tackled one at a time, in each of the main chapters of the dissertation. In Chapter One I look specifically at California and build the case for why energy ef...