Discovery Early Career Researcher Award - Grant ID: DE230100303

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE230100303

Funding Status
Active

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Funded Activity Summary

New Foundations for Algebraic Geometry. Differential calculus is one of the most important and widely applied areas of mathematics. Differential categories are a modern foundational theory of differential calculus with applications throughout mathematics and computing. This project aims to use differential categories to create new foundations for algebraic geometry, and to generate new knowledge on the connection between algebraic and differential geometry. The generality of these foundations will allow for novel applications of algebraic geometry with significant benefits to computer science, such as in machine learning and differentiable programming. We expect this to build Australia's profile in these important fields and help train the next generation of mathematicians.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $352,200.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category theory k theory homological algebra | Pure mathematics

ANZSRC Socio-Economic Objective (SEO)

Other Keywords

Category theory k theory homological algebra | Expanding Knowledge In the Mathematical Sciences | Pure mathematics

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