University of Newcastle 2021 PhD Scholarship Zero-Dimensional Symmetry

Symmetry is a fundamental organising principle in mathematics and human endeavour. This project aims to advance our knowledge of zero-dimensional symmetry, a frontier in symmetry research, by developing new theoretical and computational tools. Specifically, this project aims to advance the understanding of closed vertex-transitive groups acting on trees towards a classification using finite combinatorial structures and an implementation thereof. Potential research directions include the study of k-closed groups acting on trees, the Weiss conjecture, self-similar groups, and the development of computational tools.

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Oct 22, 2021 - 06:25
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University of Newcastle 2021 PhD Scholarship Zero-Dimensional Symmetry
Symmetry is a fundamental organising principle in mathematics and human endeavour. This project aims to advance our knowledge of zero-dimensional symmetry, a frontier in symmetry research, by developing new theoretical and computational tools. Specifically, this project aims to advance the understanding of closed vertex-transitive groups acting on trees towards a classification using finite combinatorial structures and an implementation thereof. Potential research directions include the study of k-closed groups acting on trees, the Weiss conjecture, self-similar groups, and the development of computational tools.
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