Discovery Projects - Grant ID: DP220102588

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP220102588

Funding Status
Active

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Funded Activity Summary

Triangulations: linking geometry and topology with combinatorics. Triangulations are the method of choice to represent geometric objects given by a finite sample of points. Prominent examples include the pictures produced by the finite element method, polytopes in optimisation, or surfaces in computer graphics. Knowledge about the triangulations of an object and how they relate to each other is essential for these applications. Seemingly canonical and straightforward methods perform well - or not at all, depending on intricate and highly involved mathematical properties. In this project we combine geometric and topological viewpoints to tackle high-profile questions about triangulations. This will unlock the full potential of combinatorial methods and practical algorithms in applications.

Funded Activity Details

Start Date: 01-01-2023

End Date: 31-12-2025

Funding Scheme: Discovery Projects

Funding Amount: $429,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Pure Mathematics | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics | Topology

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