Discovery Early Career Researcher Award - Grant ID: DE220100859

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE220100859

Funding Status
Active

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Funded Activity Summary

New techniques for exponential sums over low degree polynomials. This project aims to obtain new quantitative estimates for Weyl sums over low degree polynomials. Such estimates are fundamental to several areas of number theory. By interfacing techniques from diverse areas of mathematics, including algebraic geometry, analytic number theory, the geometry of numbers and harmonic analysis, this project will provide the first progress on estimating Weyl sums over low degree polynomials in over a century. The expected outcomes include a deeper understanding of Weyl sums and enhanced international collaborations. Such progress will place Australia at the forefront of this important branch of number theory.

Funded Activity Details

Start Date: 02-05-2022

End Date: 01-05-2025

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $354,000.00

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 Mathematical Sciences |

Other Keywords

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

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