Andrew MacLeish Distinguished Service Professor, Department of Mathematics
Committee on Computational and Applied Mathematics (CCAM)
Most of my research concerns geometry and topology, broadly defined. I have been interested in manifolds, their range of possible metrics and their group actions, and in stratified spaces, homology manifolds, and their invariants, the large scale geometry of discrete groups and other natural large scale metric spaces such as spaces of Riemannian metrics. I am currently interested in spaces of discontinuous functions, processes on large networks, and their scientific applications. In short, my focus these days is on quantitative and applied topology.