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Associate Professor Ian Doust is a faculty member in the School of Mathematics and Statistics at the University of New South Wales (UNSW), Sydney. His office is located in The Red Centre, Room 6113. With a BSc from Western Australia, MSc from Toronto, and PhD from Edinburgh, he has established himself as a specialist in functional analysis and operator theory.
Dr. Doust's educational background includes:
- BSc from Western Australia (WAust)
- MSc from University of Toronto
- PhD from University of Edinburgh
- Fellow of the Australian Mathematical Society (FAustMS)
His research primarily focuses on operator theory and the geometry of Banach spaces, with particular emphasis on the relationships between functional calculus and integral representations for operators, and how these are affected by geometric properties of the spaces on which the operators act. More recently, he has expanded his research to investigate geometric properties of metric spaces. His work demonstrates a strong connection between abstract functional analysis and concrete geometric problems.
Dr. Doust's recent publications show a continued focus on the intersection of operator theory and geometric analysis, with particular attention to AC(σ) spaces, functions of bounded variation, and the geometry of metric spaces including Hamming cubes and metric trees. His research spans linear systems, spectral theory, Banach algebras, and metric geometry, revealing consistent theoretical depth across multiple mathematical domains.
Among his professional recognitions is his fellowship with the Australian Mathematical Society (FAustMS), highlighting his contributions to the field of mathematics.
Dr. Doust has supervised numerous students throughout his career, contributing to the development of the next generation of mathematicians. His research has been supported by various grants that have enabled him to explore fundamental questions in functional analysis and operator theory. He maintains active collaborations with researchers both within UNSW and internationally.
He leads or participates in several research groups focused on functional analysis and its applications. These groups provide a collaborative environment for exploring advanced topics in operator theory, Banach space geometry, and related areas. His laboratory/work group regularly hosts seminars and workshops that bring together experts from various mathematical disciplines.
