Totally disconnected groups, representations and discrete mathematics

该项目涉及参与普林斯顿高等研究院和附近的离散数学和理论计算机科学中心的项目，这些项目旨在启动不同数学研究领域的合作。 这些计划将确定未来的研究方向，并可能导致计算机科学的创新。我在其中一个研究领域的发现意味着我可能能够为这些项目做出实质性的贡献。早期参与有影响力的计划，如这些意味着澳大利亚处于有利地位，以利用发展的结果，也提高了澳大利亚数学的声誉。

This project involves participation in programs at the Institute of Advanced Studies in Princeton and the nearby Center for Discrete Mathematics and Theoretical Computer Science that are designed to initiate collaborations across distinct mathematical research areas. These programs will set future research directions and could lead to innovations in computer science. Discoveries I have made in one of the research areas mean that I may be able to make substantial contributions to these programs. Early involvement in influential programs such as these means that Australia is well placed to take advantage of developments that result and also enhances the reputation of Australian mathematics.