This class will focus on questions of political representation: how we vote, how our governments are structured, and how we share resources. We will use insights from social choice theory, an interdisciplinary field combining perspectives in economics, politics, philosophy, computer science and mathematics to investigate how we make choices or select a winner in an election. We will also use ideas from fair division to ask how we should fairly allocate public goods and how we should share power. Applying both empirical and theoretical lenses, as well as the tools of game theory, topics will include ranked choice voting and other voting methods; the electoral college and proportional representation; gerrymandering and redistricting; resource allocation; school choice; and participatory budgeting.