Discovery Early Career Researcher Award - Grant ID: DE200100056

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DE200100056

Funding Status
Active

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Funded Activity Summary

Statistical shape analysis using persistent homology. Statistical shape analysis is the quantitative study of variation in geometric shape. An innovative approach applies concepts from algebraic topology in the form of the persistent homology transform. This project aims to prove mathematical theory relating to the persistent homology transform, to develop new statistical theory and methodology, and to apply this theory to a range of applications including the analysis of bird beaks, human skulls and boundary contours of stem cells. An anticipated goal is the generation of new and significant theoretical results in topological data analysis. Expected outcomes include a topologically motivated platform for shape analysis that is statistically rigorous and has firm mathematical foundations.

Funded Activity Details

Start Date: 01-09-2020

End Date: 13-10-2023

Funding Scheme: Discovery Early Career Researcher Award

Funding Amount: $403,019.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Statistical Theory | Pure Mathematics | Topology | Applied Mathematics not elsewhere classified

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Biological Sciences | Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Applied Mathematics not elsewhere classified | Expanding Knowledge in the Biological Sciences | Expanding Knowledge in the Mathematical Sciences | Pure Mathematics | Statistical Theory | Topology

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