Topology

mathematical diagram of a twist

Associate Professor Eric Chesebro recieved his Ph.D. from the University of Texas in 2006. He completed a postdoctoral appointment at Rice University in Houston, Texas before joining the Department of Mathematical Sciences at the University of Montana in Fall 2009. His interests lie in the study of the topology and geometry of three dimensional manifolds. After W. Thurston's groundbreaking realization that many 3-manifolds admit homogeneous Riemannian metrics, geometry became an important and powerful tool in 3-dimensional topology. G. Perelman's recent proof of Thurston's geometrization conjecture is a strong confirmation of this philosophy. Amongst Thurston's eight model geometries, hyperbolic geometry plays a central role. Chesebro is interested in the relationship between the topology of a hyperbolic 3-manifold and its geometry, especially the number theory and algebraic geometry associated to its hyperbolic structure.