Discovery Projects - Grant ID: DP180100201

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP180100201

Funding Status
Active

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Funded Activity Summary

Arithmetic and algebraic aspects of the dynamics of polynomial semigroups. This project aims to advance research in arithmetic dynamics, a rapidly developing field of mathematics that is rich in significant applications including cryptography. It will systematically study the semigroup action of several maps on an arithmetic space. The expected outcomes will extend existing concepts and theory, but also explore new mathematical phenomena related to number theory, graph theory and regular and chaotic arithmetic dynamics. There are likely applications in cryptography arising from the project and opportunities to build links between academia and national offices of information security.

Funded Activity Details

Start Date: 01-01-2018

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $401,706.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | 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 | Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Ordinary Differential Equations, Difference Equations and Dynamical Systems | Pure Mathematics

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