Quantum symmetries: mathematical models for topological matter

该项目旨在研究量子对称性，这是一种新的数学对象，它允许对物质的拓扑相进行代数描述。该项目希望弥合目前我们对这些物质拓扑相的数学和物理理解之间的差距。该项目将开发用于分析和构建新的奇异对称性的创新工具，并提供广泛的示例调查。它有望在一个新兴领域建立国家研究能力，并使澳大利亚处于拓扑物质数学的前沿。

This project aims to investigate quantum symmetries, new mathematical objects which allow an algebraic description of topological phases of matter. The project expects to bridge the current gap between our mathematical and physical understandings of these topological phases of matter. The project will develop innovative tools for analysing and constructing new exotic symmetries, and provide an extensive survey of examples. It is expected to build national research capacity in an emerging field and put Australia at the forefront of the mathematics of topological matter.