Quinn has just completed his third undergraduate year in a bachelor of advanced mathematics at University of Wollongong. Quinn will be completing a project on differential operators on manifolds and positive scalar curvature alongside fellow student Angus Alexander under supervisors Adam Rennie and Alan Carey.
Differential operators on manifolds and positive scalar curvature
The project will begin by developing the theory of differential operators on manifolds.
The research component will be applying the theory to the effect of curvature on the index of the Hodge De Rham operator, namely the Euler characteristic.