Discovery Projects - Grant ID: DP220101631

Funding Activity

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Funded Activity Summary

Noncommutative analysis for self-similar structure. This project in pure mathematics aims to develop novel mathematical techniques for understanding self-similar structures using operator algebras. Fractals and self-similarity have many applications both within and outside mathematics, but remain deeply mysterious, while operator algebras are the mathematical language of quantum mechanics. This project expects to provide new connections between self similarity and operator algebras advancing both fields. Expected outcomes include increased understanding of self-similar structures, and novel operator-algebraic phenomena and examples. Benefits include growing Australia's capacity in operator algebras and mathematics more generally, and enhanced international collaboration.

Funded Activity Details

Start Date: 01-07-2022

End Date: 30-06-2025

Funding Scheme: Discovery Projects

Funding Amount: $384,000.00

Funder: Australian Research Council