Discovery Projects - Grant ID: DP200100355

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP200100355

Funding Status
Active

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Funded Activity Summary

Multiplicative structure of rational functions. This project aims to develop new methods of investigating fundamental number theoretic notions of torsion and multiplicative dependence between objects of great interest such as rational functions and their values. This includes investigating such celebrated objects as torsion points on elliptic curves and torsion subgroups on algebraic varieties. The goal is to develop new methods and make pivotal advances towards solving several fundamental problems where multiplicative dependence plays a crucial role. The expected outcome is to provide deeper understanding of the intriguing nature of torsion and multiplicative dependence and thus open new perspectives for their applications in number theory and beyond.

Funded Activity Details

Start Date: 01-07-2020

End Date: 31-12-2024

Funding Scheme: Discovery Projects

Funding Amount: $435,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Information and Computing Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Expanding Knowledge in the Information and Computing Sciences | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics

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