#
Shayne Waldron

I am a senior lecturer in the
Mathematics Department
of the
University of Auckland.

My research interests are in approximation theory (and numerical analysis).

#### Background

- Senior Lecturer, Mathematics, University of Auckland, 2002-
- Lecturer, Mathematics, University of Auckland, 1997-2001
- 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