Adrian is a mathematics major at the University of Melbourne, specialising in pure mathematics. Adrian finds his interest in mathematics from his exposure to computer science, early in his academic career. He enjoys studying a broad range of disciplines as part of his degree, but he is particularly fond of Algebra and Topology.
A Topological Study of the Grothendieck-Teichmüeller Group
We aim to get a topological understanding of the Grothendieck-Teichmüller group GT, one of the most mysterious objects in modern mathematics. To this end, we propose to study the Grothendieck-Teichmüller group by examining its action on a simple model of the Teichmüller tower, constructed using the mapping class groups of surfaces.