Research

Field

Differential Geometry

Description

Catherine Searle works in Differential Geometry with an emphasis on Comparison Theory. Her research has been focussed on positively and non-negatively curved Riemannian manifolds, which admit "large" isometric group actions, where "large" can be defined in a number of ways. More recently she has been studying Alexandrov spaces of positive and non-negative curvature which admit large isometry groups, since Riemannian manifolds with a lower curvature bound are properly contained in the space of Alexandrov spaces with the same lower curvature bound and a better understanding of such Alexandrov spaces often enhances our understanding of the corresponding Riemannian manifolds.

Education

Ph.D. in Mathematics, University of Maryland at College Park, 1992

A.B. in Mathematics and Physics, Bryn Mawr College, 1984

Research areas