Jurassic arc? Reconstructing the lost world of Eastern Australia. This project aims to resolve a long-standing enigma about the geological formation of the Great Artesian Basin – Australia’s most important onshore reservoir for groundwater and hydrocarbon resources. Specifically, the project will integrate sedimentological and geochemical studies to investigate the geodynamic configuration of Eastern Australia during the Jurassic Period of basin formation. The intended outcomes are an improved u ....Jurassic arc? Reconstructing the lost world of Eastern Australia. This project aims to resolve a long-standing enigma about the geological formation of the Great Artesian Basin – Australia’s most important onshore reservoir for groundwater and hydrocarbon resources. Specifically, the project will integrate sedimentological and geochemical studies to investigate the geodynamic configuration of Eastern Australia during the Jurassic Period of basin formation. The intended outcomes are an improved understanding of the evolution of the Australian continent and better knowledge of the formation of intercontinental sedimentary basins, which includes better assessment of their potential to contain hydrocarbon resources.Read moreRead less
Understanding the deep driving forces of Earth’s large-scale topography through time. We propose to model the convection of Earth’s mantle linked to tectonic plate motions to unravel their combined influence on the evolution of topography over 550 million years. The project will lead to an understanding of the driving forces of large-scale topography in continental interiors and along their margins through geological time.
The link between the deep Earth and its dynamic surface. Modelling the two-way interaction of plate tectonics with the actions of erosion and sedimentation gives a fundamentally new view of the dynamics of our planet and the importance of the surface on the deep interior. It will improve our understanding of the formation of sedimentary basins, their evolution and their preservation over geological time.
Down under down under: using multi-scale seismic tomography to image beneath Australia's Great Artesian Basin. Seismic arrays will be deployed in the Great Artesian Basin to image the crust and mantle using distant earthquake and ambient noise sources. This will answer fundamental questions about the tectonic evolution of eastern Australia and elucidate the structure of a region containing significant deep Earth resources.
Multiple vertical tectonic movements in a continental interior: consequences of flat-subduction and foundering of an oceanic plateau? This project will investigate how the subduction of particularly thick oceanic crust impacts on the landscape, climate, structure and composition of the adjacent continent. It will help in understanding the history and distribution of mineral and hydrocarbon resources, of similar provinces in Australia.
Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and fro ....Group orbits in garmonic analysis and ergodic theory. Researchers from many areas need a type of mathematical analysis which involves the behaviour of a system - which may be a set of data points - under repeated application of some operation or group of operations. The structures arising from this kind of process are known as group orbits. The project gives information about their nature. Two major types of orbits are considered, coming from actions of discrete groups on measure spaces, and from smooth actions of Lie groups on manifolds, where powerful geometric methods are available. The project will yield new understandings of entropy, and new approaches to Fourier analysis.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
Read moreRead less
Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that e ....Symmetries in analysis. Technical research is like an iceberg. The 10% you see in applications is supported by 90% hidden, long-term, sometimes abstruse or theoretical-sounding work. The area of mathematical analysis has, for over 200 years, proved its worth as part of the unseen 90%, giving us such important tools as Fourier analysis, statistical mechanics and quantum mechanics. Australia is known as a world leader in mathematical analysis, and it is important for the country to maintain that edge in a number of key disciplines, so we can continue to participate in global technological advance. The project has an international focus which will enable that to happen. It will also provide training for the next generation of mathematicians. Read moreRead less
Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model sy ....Dynamical systems: theory and practice. Mathematical science has proven a crucial platform for science and technology: it may have a long lead-time to application but its impacts are more profound than glamorous technical developments. Australia has an economic imperative to maintain investment in fundamental mathematics. Dynamical systems underpin a wide range of applications in physics, engineering, information science, finance and economics. This project will improve our capacity to model systems and to study their evolution, giving us better predictive power. It will keep Australia in the forefront of international research, providing a basis of expertise not otherwise available to Australian researchers and industry. Read moreRead less
Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.