Fluid-thermal-structural interactions on high-speed aerospace vehicles. Sixteen years after the retirement of Concorde, high-speed commercial flight is once again on the rise with the development of new supersonic business jets and small airliners as well as hypersonic transport and reusable space launch systems. Robust and efficient designs for these light-weight vehicles must address the problem of aerodynamic heating and its effect on structural performance and lifing. This project will desig ....Fluid-thermal-structural interactions on high-speed aerospace vehicles. Sixteen years after the retirement of Concorde, high-speed commercial flight is once again on the rise with the development of new supersonic business jets and small airliners as well as hypersonic transport and reusable space launch systems. Robust and efficient designs for these light-weight vehicles must address the problem of aerodynamic heating and its effect on structural performance and lifing. This project will design and perform first-of-kind experiments that reproduce the complex fluid-thermal-structural interactions representative of those experienced by these aircraft and rockets. We will then use these measurements to assess, validate and improve the current state-of-the-art of simulation and modelling approaches for design.Read moreRead less
Voices of Regional Australia: The linguistic patterning of local attachment. This project aims to investigate language and social dynamics among regional Australians, who, despite representing one third of the population, have been often neglected in the research to date. The project expects to generate new knowledge around regional attachment and the impact that has on speech patterns, adapting for the first time recently developed international metrics to the Australian context. Expected outco ....Voices of Regional Australia: The linguistic patterning of local attachment. This project aims to investigate language and social dynamics among regional Australians, who, despite representing one third of the population, have been often neglected in the research to date. The project expects to generate new knowledge around regional attachment and the impact that has on speech patterns, adapting for the first time recently developed international metrics to the Australian context. Expected outcomes include a better understanding of models of language change across urban and rural areas, and a novel dataset recording the stories of regional Australians, and in particular, their experiences facing bushfire. This should provide significant benefits as a record of life, language and community in regional Australia.Read moreRead less
Towards logarithmic representation theory of W-algebras. Aims: To construct and analyse indecomposable representations of significance in conformal field theory.
Significance: Conformal field theory plays a key role in many developments in mathematics and physics. Logarithmic conformal field theories govern important systems such as two-dimensional critical percolation. This proposal aims to develop the representation theory necessary for understanding salient features of critical systems des ....Towards logarithmic representation theory of W-algebras. Aims: To construct and analyse indecomposable representations of significance in conformal field theory.
Significance: Conformal field theory plays a key role in many developments in mathematics and physics. Logarithmic conformal field theories govern important systems such as two-dimensional critical percolation. This proposal aims to develop the representation theory necessary for understanding salient features of critical systems described by logarithmic conformal field theory.
Expected Outcomes: Novel representations of fundamental importance in logarithmic conformal field theory.
Benefit: Resolution of open problems in logarithmic conformal field theory, thus continuing the strong tradition in the field in Australia.
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Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This w ....Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This will have an impact on theoretical physics as exactly solvable models play a central role in our understanding of a plethora of physical phenomena.Read moreRead less
The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interpla ....The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interplay between geometry and algebra to provide new insight into the physically significant problem of classifying unitary Lie algebra representations. This project is expected to facilitate interdisciplinary interaction leading to exciting developments across a range of fields.Read moreRead less
Waiet: Archaeology of a Torres Strait Islander ritual pathway. The project aims to provide a high-resolution archaeological record of ritual mobility by examining a Torres Strait Islander initiation pathway. The project is expected to generate new knowledge about human movement and improve public understanding of Indigenous peoples connection with country. Anticipated outcomes of the multi-disciplinary and community-led research include the first detailed record of ancient ritual mobility in nor ....Waiet: Archaeology of a Torres Strait Islander ritual pathway. The project aims to provide a high-resolution archaeological record of ritual mobility by examining a Torres Strait Islander initiation pathway. The project is expected to generate new knowledge about human movement and improve public understanding of Indigenous peoples connection with country. Anticipated outcomes of the multi-disciplinary and community-led research include the first detailed record of ancient ritual mobility in northern Australia and development of a web-based system to transfer archival information between cultural institutions and remote communities. This should provide significant benefits and assist Meriam people to engage with their cultural heritage and expand public knowledge about Indigenous forms of mobility.Read moreRead less
Lie superalgebra representations: a geometric approach. The concept of a Lie group provides a mathematical underpinning for the idea of symmetry in mathematics, physics and chemistry. The project aims to advance two fundamental problems related to this concept: classification of unitary representations of Lie superalgebras, and the prescribed Ricci curvature problem on Lie groups. The research builds on newly-discovered connections between these problems to achieve exciting progress in their res ....Lie superalgebra representations: a geometric approach. The concept of a Lie group provides a mathematical underpinning for the idea of symmetry in mathematics, physics and chemistry. The project aims to advance two fundamental problems related to this concept: classification of unitary representations of Lie superalgebras, and the prescribed Ricci curvature problem on Lie groups. The research builds on newly-discovered connections between these problems to achieve exciting progress in their resolution. Outcomes are expected to find applications across a range of fields, such as condensed matter physics, particle physics, quantum field theory and knot theory. Anticipated benefits include stronger links between different areas of science achieved through a deeper understanding of symmetry.Read moreRead less
The building blocks of meaning: a linguistic approach. This project will investigate how complex meanings are built up from more basic building blocks, and to what extent basic meanings differ between different languages, cultures, and geographical zones. The project is expected to lead to significant advances in the scientific knowledge of language. Nothing comparable has been attempted before. Expected outcomes include a rich harvest of new knowledge, digital tools to assist with analysing and ....The building blocks of meaning: a linguistic approach. This project will investigate how complex meanings are built up from more basic building blocks, and to what extent basic meanings differ between different languages, cultures, and geographical zones. The project is expected to lead to significant advances in the scientific knowledge of language. Nothing comparable has been attempted before. Expected outcomes include a rich harvest of new knowledge, digital tools to assist with analysing and translating complex meanings, and ongoing international collaborations. This will provide significant benefits such as enabling messaging and communication in education, health care, service delivery and international affairs to be clearer, more accessible and more translatable.Read moreRead less
Making Spatiotemporal Data More Useful: An Entity Linking Approach. This project aims to establish a methodology for spatiotemporal entity linking by utilising object movement traces to support database integration and data quality management for the next-generation of data where spatiotemporal attributes are ubiquitous. It expects to develop a novel entity linking paradigm for automatic, efficient and reliable spatiotemporal data integration together with a new data privacy study in this contex ....Making Spatiotemporal Data More Useful: An Entity Linking Approach. This project aims to establish a methodology for spatiotemporal entity linking by utilising object movement traces to support database integration and data quality management for the next-generation of data where spatiotemporal attributes are ubiquitous. It expects to develop a novel entity linking paradigm for automatic, efficient and reliable spatiotemporal data integration together with a new data privacy study in this context. Expected outcome include new database technologies for data signature generation and similarity-based search, and improved location data privacy protection methods. This project should provide significant benefits to all areas where high quality spatiotemporal data fusion is essential to meaningful data analysis.Read moreRead less