Triangulations, geometry and knots: Interview with Jessica Purcell
Professor Jessica Purcell works on the interplay of hyperbolic geometry and 3-dimensional manifolds. In this SMRI interview, she describes the open questions she’s investigating and how her interest in mathematical knots began.
Jessica Purcell is a Professor in the School of Mathematical Sciences and Associate Dean of Research (Faculty of Science) at Monash University, where she carries out research into 3-manifolds, hyperbolic geometry and knot theory.
In this interview, Jessica discusses her upcoming SMRI project with University of Sydney collaborator Professor Stephan Tillmann. The mathematicians will investigate minimal triangulations of 3-manifolds, an area with important applications in computational and quantum topology.