Topology faculty are a diverse group whose interests are focused around dimensions two, three and four.

Currently members of the group are working on:

• Applied knot theory
• Topological data analysis
• Contact and symplectic topology
• Mapping class groups
• Geometric braid theory
• Categorification
• Applications of homotopy theory to the study of topology in low dimensions
• Heegaard splittings of three manifolds
• Trisections of four manifolds,
• Quantum topology 
• Skein theory

The group has a lively culture of seminars with a focus on including students in their current research.