Lachlann O’Donnell is a student at the University of Wollongong undertaking a Bachelor of Mathematics. He graduated in 2017 and is doing an honours project in geonetric analysis in 2018. His interests lie in the areas of Differential Geometry, Topology and Analysis with particular emphasis on Differential Geometry.
Fully nonlinear curvature flow
The area of curvature flow was developed to deal with problems that arise in geometry, for example the Poincare conjecture was resolved through the use of Ricci flow. The project aims at discussing specific types of curvature flows i.e. contraction and expansion flows, culminating in considering the cases of fully nonlinear curvature flows.