Discovery Projects - Grant ID: DP230100530

Funding Activity

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Funded Activity Summary

Pseudorandomness in Number Theory, Dynamics and Cryptography. The aim of the project is to investigate various aspects of randomness, design new and analyse previously known constructions of randomness extractors of practical use. As a dual aim, we will also investigate the pseudorandomness of some classical number-theoretic objects. The significance of this project is in a large number of theoretical and practical applications and in new methods which will be developed. Expected outcomes include new cryptographically strong hash functions and progress towards several famous open conjectures such as Sarnak’s conjecture. These new results and methods will be highly beneficial for both theoretical mathematics and also for such practical areas as cryptography and information security.

Funded Activity Details

Start Date: 07-2023

End Date: 06-2026

Funding Scheme: Discovery Projects

Funding Amount: $427,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Cryptography | Numerical analysis | Algebra and number theory | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)