Stanford University Mathematics Camp (SUMaC) - Algebraic Topology

Program II centers on algebraic topology, a major area of current mathematics research. Topology is the study of the properties of shapes that remain unaffected by deformations. For example, a sphere made out of rubber can be deformed into the shape of a cube. While it may appear that a sphere and a cube don't have that much in common, it turns out that they are topologically equivalent and in a way that can be made precise mathematically. This course will explore different ways of analyzing topological properties of shapes using algebraic concepts, such as the notion of group. Application process includes: preliminary application, online application, written responses, teacher recommendations, standardized test scores, transcript, $50 application fee. Need-based financial aid is available with the completion of an additional financial aid application.