Regular biography
Timothy Riley is a Professor in the Department of Mathematics at Cornell University. His research focuses on geometric group theory, where he studies infinite discrete groups through associated metric spaces, Riemannian manifolds, graphs, and cell complexes. His work explores geometric features such as curvature, the shapes of balls, and characteristics of discs spanning loops. Riley's research has addressed the geometry of the word problem for groups, intersecting algebra, algorithmic complexity, geometry, topology, and formal languages. His publications include studies on soficity, hyperbolic hydra, and the Dehn function of Stallings' group. He is affiliated with the College of Arts and Sciences and the Department of Mathematics at Cornell University.