Geometric transforms and duality. This Proposal is fundamental, basic research at the forefront of modern differential geometry and its application to physics. It will ensure that Australia is involved in today's mathematical and physical advances and that we have Australian mathematicians trained to take advantage of the future benefits of these advances.
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.
Special Research Initiatives - Grant ID: SR0354466
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgradu ....Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgraduate training through workshops, summer schools and web based resources and build long-term international collaborations with EU networks and NSERC, NSF and EPSRC institutes as well as bringing together academic and industry leaders.Read moreRead less
Normal forms and Chern-Moser connection in the study of Cauchy-Riemann Manifolds. This research project is aimed at a systematic study of Cauchy-Riemann manifolds, their holomorphic mappings and automorphisms, by means of a unifying approach based on
Chern-Moser type normal forms. The importance of Cauchy-Riemann manifolds stems from the fact that they bridge complex structure and holomorphy with the Riemannian nature of real manifolds. Construction of an analogue of the Chern-Moser normal form ....Normal forms and Chern-Moser connection in the study of Cauchy-Riemann Manifolds. This research project is aimed at a systematic study of Cauchy-Riemann manifolds, their holomorphic mappings and automorphisms, by means of a unifying approach based on
Chern-Moser type normal forms. The importance of Cauchy-Riemann manifolds stems from the fact that they bridge complex structure and holomorphy with the Riemannian nature of real manifolds. Construction of an analogue of the Chern-Moser normal form for multicodimensional Levi-nondegenerate CR-manifolds and extension of CR-mappings between them are major goals in complex analysis. Identification of Chern-Moser chains and equivariant linearisation of isotropy automorphisms are major goals in geometry.Read moreRead less
Improving student outcomes: coaching teachers in the power of feedback. This project aims to investigate how student outcomes can be augmented through coaching teachers in effective feedback practice. The project addresses a critical problem of stagnating levels of student achievement in Australian schools with the innovative research design combining evidence-based, pedagogies of feedback, formative assessment and instructional coaching to improve teacher practice and ultimately raise student a ....Improving student outcomes: coaching teachers in the power of feedback. This project aims to investigate how student outcomes can be augmented through coaching teachers in effective feedback practice. The project addresses a critical problem of stagnating levels of student achievement in Australian schools with the innovative research design combining evidence-based, pedagogies of feedback, formative assessment and instructional coaching to improve teacher practice and ultimately raise student achievement levels. The project aims to guide policy implementation in pedagogy to raise the quality of teaching standards and to improve learning outcomes for Australian students. Ultimately, outcomes from the research will help close the gap for low achieving students, and challenge and extend those who may already be meeting required benchmarks. Read moreRead less
Engaging Students during the Early Years of Secondary School. This project aims to design, test and share sustainable strategies to support teachers and enable students from low socioeconomic communities to achieve success. The greatest decreases in students’ interest and effort occur when they transition into secondary school, with students from low socioeconomic communities at greatest risk of disengagement. What can teachers do to engage their students during this key life transition? This pr ....Engaging Students during the Early Years of Secondary School. This project aims to design, test and share sustainable strategies to support teachers and enable students from low socioeconomic communities to achieve success. The greatest decreases in students’ interest and effort occur when they transition into secondary school, with students from low socioeconomic communities at greatest risk of disengagement. What can teachers do to engage their students during this key life transition? This project plans to identify teacher behaviours that motivate students in their first year at secondary school. Using an experimental design with a representative sample of 150 teachers and 1500 students in low socioeconomic areas across three states, the project plans to test whether an online professional learning program for teachers can improve student engagement and achievement. This cost-effective and scalable intervention is designed for widespread dissemination to Australian teachers.Read moreRead less
Increasing the rural medical workforce: investigating personal traits to enhance our understanding and improve training of rural registrars. This project will research new methodologies for increasing the number of rural doctors in Australia. A better understanding of those individuals best suited for rural practice will provide value for money to the Government by making the most efficient use of initiatives to increase recruitment and retention of the rural workforce.
Are the kids alright? Understanding the wellbeing of Australian children in their middle years. This project will produce the first comprehensive national stock-take of wellbeing among Australian children in their middle years, with a special focus on children who experience disadvantage. Findings will reflect children's views and experiences, have direct policy relevance and lay the groundwork for comparing and monitoring of child wellbeing.
Building sound ecological restoration strategies for endangered amphibians. This project integrates the principles of ecology and restoration ecology to secure the persistence of a population of an endangered frog in the context of a large urban renewal and ecological rehabilitation precinct at the Sydney Olympic Park. Habitat rehabilitation at the site provides an unrivalled opportunity for ecology to provide robust scientific direction and support for conservation management practices and deve ....Building sound ecological restoration strategies for endangered amphibians. This project integrates the principles of ecology and restoration ecology to secure the persistence of a population of an endangered frog in the context of a large urban renewal and ecological rehabilitation precinct at the Sydney Olympic Park. Habitat rehabilitation at the site provides an unrivalled opportunity for ecology to provide robust scientific direction and support for conservation management practices and develops the site as a model site illustrating adaptive management practices. The project investigates the role of two threatening processes in amphibian decline in a habitat management context and the outcomes have wide implications for the global amphibian decline. Read moreRead less
Identifying cost-effective reforestation approaches for biodiversity conservation and carbon sequestration in the Australian wet tropics. There is great potential for rainforest reforestation to help in the protection of Australia's tropical flora and fauna. Little is known, however, about how to reforest pasture to rainforest for the purpose of maximising the recovery of native biodiversity. We propose a unique experimental study of rainforest reforestation practices with biodiversity conservat ....Identifying cost-effective reforestation approaches for biodiversity conservation and carbon sequestration in the Australian wet tropics. There is great potential for rainforest reforestation to help in the protection of Australia's tropical flora and fauna. Little is known, however, about how to reforest pasture to rainforest for the purpose of maximising the recovery of native biodiversity. We propose a unique experimental study of rainforest reforestation practices with biodiversity conservation as a primary goal. Reforestation is currently an unlikely option for most landholders in Australia's tropics given the lack of data on the economic benefits obtainable from such efforts. Our study examines the profits obtainable through the carbon market for each reforestation approach with the goal of increasing the feasibility of rainforest reforestation in North Queensland.Read moreRead less