Shayne Waldron

I am an Associate Professor in the Mathematics Department of the University of Auckland.
My research interests are in approximation theory (and numerical analysis).

Background

Lecturer, Senior Lecturer, Associate Professor, Mathematics, University of Auckland, 1997-

Postdoctoral Fellow, Technion, Haifa, Israel, with Allan Pinkus, 1995-1997

Ph.D. Mathematics University of Wisconsin-Madision, with Carl de Boor, 1990-1995

B.Sc.(Hons) Mathematics, University of Canterbury, 1987-1989

Research areas

Approximation theory and numerical analysis, in particular multivariate polynomial interpolation and multivariate problems in general. More recently I have been interested in finite tight frames: their construction from abstract groups, and applications such multivariate orthogonal polynomials. Much of this work has been motivated by Zauner's conjecture and its implications for quantum information theory and signal analysis.

Affiliations

The Analysis, Geometry and Topology Research Group.