2 PhD positions
Deakin University and Swinburne University

Project title

An optimisation-based framework for non-classical Chebyshev approximation (ARC discovery project DP180100602).

Scholarship

26,300 per year (tax free)

Description

In this project you will work on extending classical results in approximation theory by developing a methodology that lies at the crossroads between analysis, algebra and geometry. The classical Chebyshev alternation theorem on polynomial approximation can be studied from many perspectives: as an optimisation problem, or as an algebraic one for example. It has been generalised in many directions, but several generalisations have remained elusive, for instance piecewise linear approximation. The aim of this project will be to tackle some of these directions by developing new techniques, but also by combining existing ones in a new way. You will work on these challenging topics with an international team of researchers with a variety of mathematical expertise.

For more information, please contact Dr Nadezda Sukhorukova at nsukhorukova@swin.edu.au.