Abstract: Combinatorial games, sometimes called games of no chance or games of perfect information, are two player games in which players take turns making “moves” to change the initial position of the game. Unlike many games, here both players have perfect information about the positions and moves available in the game, and no chance is involved in a move. Games of this sort appear naturally in the “wilds” of mathematics, in areas ranging from graph theory to knots, tangles, groups and rings. In this talk we’ll explore some of this strange zoo of algebraic and combinatorial games, introducing you as explorers to exotic and fun mathematics along the way. Come ready with to try your strategic abilities against your fellow mathematics students too!