What is the best or most fair way to make choices as a group? How can we quantify or measure fairness? Can we mathematically describe power and equity? How can mathematics play a role in identifying and combatting gerrymandering? This course will consider these questions and hopefully generate many more. We study how mathematicians have attempted to understand fairness and power, how mathematics underlies important aspects of voting and representation, and how math can help illuminate many important social and political issues. Topics: Fairness, Gerrymandering, Voting Systems, Arrow's Theorem, Apportionment, Power, and additional topics as time allows.