{"links":{"self":"http://dataportal.arc.gov.au/NCGP/API/grants/FT250100208"},"data":{"type":"grant-details","id":"FT250100208","attributes":{"code":"FT250100208","administering-organisation":"The University of New South Wales","announcement-administering-organisation":"The University of New South Wales","scheme-name":"ARC Future Fellowships","grant-status":"Active","funding-commencement-year":2025,"years-funded":4,"project-start-date":"2026-01-01","anticipated-end-date":"2029-12-31","grant-summary":"Arithmetic Statistics, Dynamics and Quantum Chaos. The aim of the project is to investigate various aspects of arithmetic statistics and pseudorandomness in Number Theory and Dynamics, with applications to Quantum Chaos. These include arithmetic statistics of matrix groups over number theoretic domains, randomness aspects of orbits generated by arithmetic dynamical systems, as well as investigating the pseudorandomness nature of the renowned cat map, providing a discrete model of quantum chaos. Important outcomes include progress towards several conjectures, as well as developing a variety of new number theoretic methods which are both novel and deep. It will continue to drive and influence research in mathematics as well as more applied areas beyond the confines of this project.","funding-current":1302178.00,"funding-at-announcement":1274832,"investigators-current":[{"title":"A/Prof","firstName":"Alina","familyName":"Ostafe","roleName":"Future Fellowship","roleCode":"FT","isFellowship":true,"orcidIdentifier":"0000-0001-7398-0589 "}],"investigators-at-announcement":[{"title":"A/Prof","firstName":"Alina","familyName":"Ostafe","roleName":"Future Fellowship","roleCode":"FT","isFellowship":true,"orcidIdentifier":"0000-0001-7398-0589 "}],"organisations-current":[{"organisationName":"The University of New South Wales","roleName":"Administering Organisation","state":"NSW"}],"organisations-at-announcement":[{"organisationName":"The University of New South Wales","roleName":"Administering Organisation","state":"NSW"}],"field-of-research":[{"isPrimary":true,"code":"4904","name":"Pure Mathematics","type":"FOR20"},{"isPrimary":false,"code":"490401","name":"Algebra and Number Theory","type":"FOR20"}],"socio-economic-objective":[{"code":"280118","name":"Expanding Knowledge In the Mathematical Sciences","type":"SEO20"}],"international-collaboration":["Austria","England","France","Hungary","Israel","Italy","New Zealand","Sweden","Switzerland","United States of America"],"lief-register":[],"achievement-summary":null,"national-interest-test-statement":"Australia relies on the continuous research developments in Number Theory, a very active and prestigious area of mathematics which forms the theoretical foundations of cybersecurity and encryption. The project will solve fundamental problems on the statistics and randomness of number theoretic objects that appear naturally in cryptography, computer science, engineering, telecommunications and more. For example, despite their apparent abstraction, number theory and arithmetic dynamical systems underlie all modern cryptosystems and encryption. Outcomes of this research could therefore be of significance to modern financial, computer and defence systems in Australia and internationally. This project will also make a major contribution to satisfying the demand for talented researchers and developers in these areas. This area has attracted some of the world's best mathematicians and brightest students whose problem-solving prowess is valued highly by employers. It will also attract the attention and direct involvement of many world leaders in this area, placing Australia as a major contributor to this rapidly expanding and influential area."}}}