Discovery Projects - Grant ID: DP210100162

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP210100162

Funding Status
Active

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Funded Activity Summary

Additive combinatorics of infinite sets via ergodic theoretic approach. The proposed project will utilise innovative ergodic theoretic approaches to enable us to address important questions in Additive Combinatorics (Number Theory) and Fractal Geometry. In particular, we will resolve long-standing inverse additive problems for infinite sets, discover sum-product phenomena in Number Theory, and find a plethora of finite configurations in fractal sets. We will also extend the structure theory of one of the most popular mathematical models of quasi-crystals to a more extensive class of groups. This project will make significant contributions to Additive Combinatorics and Ergodic Theory and will bring the Australian research in these fields to ever greater heights.

Funded Activity Details

Start Date: 01-01-2021

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $340,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Expanding Knowledge in the Mathematical Sciences | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Pure Mathematics

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