Lie algebras, Lie groups, and their representation theories are instrumental in our description of symmetries in physics and elsewhere. They also occupy a central place in pure mathematics where they often provide a bridge between...

# Mathematical Physics

Mathematical Physics is an interdisciplinary research area focussed on developing novel mathematical techniques associated with applications of modern physics. Many breakthroughs in the development of physical theories, particularly in the realm of quantum physics, have been underpinned by the application of key mathematical methods. The research conducted in Mathematical Physics at UQ covers a broad spectrum from areas of pure mathematics such as Lie algebras, quantum algebras, supersymmetry, low dimensional topology and category theory through to applications in areas such as ultra-cold atoms, condensed matter systems, quantum nanoscience and quantum information science. Staff are also active in promoting Mathematical Physics through regular workshops and seminar series.