Penelope is in her second year of an Advanced Maths degree at the University of Wollongong. She is interested in pure mathematics, in particular connections between topology and analysis. The purpose of her project is to generalise a certain type of topological group to the class of quantum groups by applying a theorem relating topological properties of the group to analytical properties of an associated algebra. Outside of maths, Penelope is interested in board games, birdwatching and classical music, and enjoys playing piano.
Zappa-Szep Products Of Compact Quantum Groups
In this project we will study commutative C*-algebras, and compact quantum groups. We will then generalise the notion of a Zappa-Szep product for compact topological groups to the class of compact quantum groups and calculate some examples.