Jacquie Omnet
University of Queensland
Biography
Jacquie is a second-year mathematics student at the University of Queensland. She enjoys all areas of pure mathematics, with a particular interest in the branches of mathematical
analysis. Upon completing her bachelor, Jacquie intends to do an honours project, continuing down the road of research into academia.
Non-Uniqueness and Singularities in Geometric Partial Differential Equations
This project aims to further the understanding of how multiple solutions to elliptic geometric partial differential equations can be explicitly utilised to construct singular solutions to related problems. By applying a combination of variational and PDE methods, the student will develop techniques used in the analysis of constrained minimal surfaces, surfaces of prescribed curvature, and harmonic maps. This analysis will be conducted with a view to generalise the setting to that of Yang-Mills.