Discovery Projects - Grant ID: DP200100994

Funding Activity

Website
https://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP200100994

Funding Status
Active

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Funded Activity Summary

Measure theoretic frameworks for limsup sets. This project aims to develop new powerful measure theoretic techniques in mathematics that will be used in establishing some indispensable results in analytical number theory (Diophantine approximation) and dynamical systems. The plan is to construct new techniques and to use them in situations where existing techniques are not applicable. As a consequence of the proposed frameworks, not only we aim to resolve a few long-standing problems such as the Generalised Baker-Schmidt Problem (1970) but also envisage that the proposed frameworks will have far-reaching applications beyond the confines of Diophantine approximation and dynamical systems, for example, geometric measure theory, geometric probability and stochastic geometry etc.

Funded Activity Details

Start Date: 01-01-2021

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $405,000.00

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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