ProfessorGeordie Williamson

I am interested in algebra, geometry and representation theory. There are several basic questions (e.g. determining the dimensions or characters of reprentations of a Lie group or finite group of Lie type) which need extremely sophisticated techniques from algebraic geomety, Hodge theory or higher category theory to resolve. The richness and complexity contained in these simple questions is extraordinary.

My research aligns with the Faculty of Science Research Strengths - Understanding the Universe, Fundamental Laws of Nature, Complex Systems, Cultivating Scientific Capability, Brain Behaviour and Cognition, Precision and Digital Health, Decision-Making for a Sustainable Future, Data and Decisions, National Security , Quantum Frontiers.