Using operator theory to discover and prove results about the geometry and function theory of domains in C^n

The project is to use operator theory to discover and prove results about the geometry and function theory of domains in C^n.

Students should have a basic knowledge of complex analysis in one variable and of linear operators on Hilbert space. A typical task is to construct an analytic function from a disc in C to a concrete set in C^n meeting some specifications. Problems of this type arise in engineering, though the present project is pure mathematical in outlook.

Successful applicants will also be given the opportunity to complete teaching and demonstrating duties within the school amounting to up to £1500 per annum.