Assistant professor of mathematics Kathryn P. Mann studies basic mathematical objects through the field of geometric topology. She investigates their symmetries and looks at how the objects change under transformations.
Mann received $477,000 over the span of five years to study the rigidity of group actions, something that is visible in weather patterns, to ocean currents, to the configuration space of a mechanical system. One example of this phenomenon is Mann’s recent results on foliated circle bundles over surfaces, where she shows that every rigid bundle is geometric. Mann is building on the success of this project, extending the theme to new contexts and applications.