*Abstract:*

Harmonic functions are real-analytic and so automatically extend from being functions of real variables to being functions of complex variables. But how far do they extend? This question may be answered by twistor theory, the Penrose transform, and associated geometry. I shall base the constructions on a formula of Bateman from 1904. This is joint work with Feng Xu.

*About the speaker:*

Professor Eastwood is one of the world’s leading experts in conformal differential geometry, and much of his work is concerned with geometry and symmetry. His work on the development of transform methods linking mathematical physics, differential geometry, harmonic analysis and special function theory is internationally acclaimed.

Professor Eastwood obtained his PhD in mathematics at Princeton University in 1976. He then worked as a Research Fellow at the Mathematical Institute of University of Oxford, working with Roger Penrose and his school, before joining The University of Adelaide in 1985. He has been awarded several ARC Fellowships, including three Senior Research Fellowships and one Australian Professorial Fellowship. Since January 2009, he holds a prestigious ARC Federation Fellowship at the Australian National University, Canberra.

In 1992, Professor Eastwood was awarded the Australian Mathematical Society Medal for distinguished research in the mathematical sciences and in 2005 he was elected as a Fellow of the Australian Academy of Science.

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