My research is motivated by the mathematics of quantum field theory, particularly conformal field theory. Mathematical topics which arise include operator algebras, subfactors, geometric field theories, quantum algebra and tensor categories, vertex operator algebras, and complex function theory. I am particularly interested in analytic questions arising out of the interactions between these mathematical fields which are facilitated by QFT.

More information is available at http://math.tener.cc.

I am available to supervise honours, masters, and PhD students on a variety of topics relating to my current research, including:

• operator theoretic aspects of quantum field theory
• computational problems in vector-valued modular forms
• tensor categories and functorial conformal field theories

Please enquire with me directly if you would like to discuss working on a project with me.

I am also available for reading courses or special topics courses. Some potential courses topics include operator aglebras (e.g. C* and/or von Neumann algebras) and various topics related to the mathematics of conformal field theory (e.g. foundations of CFT, representation theory of loop groups, and/or monstrous moonshine).