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.
Structural reorganization of the hymenopteran mitochondrial genome. This study will be the first detailed investigation of the evolution of mt genome reorganization, and as such it will identify the processes that shape the evolution of a molecule widely used to interpret phylogeny. A description of the processes that lead to mt genome reorganization will have a substantial impact on our understanding in two areas of mt biology; (1) the discovery of new molecular phenomena that impact on the or ....Structural reorganization of the hymenopteran mitochondrial genome. This study will be the first detailed investigation of the evolution of mt genome reorganization, and as such it will identify the processes that shape the evolution of a molecule widely used to interpret phylogeny. A description of the processes that lead to mt genome reorganization will have a substantial impact on our understanding in two areas of mt biology; (1) the discovery of new molecular phenomena that impact on the organization and evolution of this genome, and (2) the interpretation of its phylogenetic content. It will establish our research group as a leader in the field of evolutionary genetics. Training of high quality students, with exposure to international researchers, will be a significant component of this program.Read moreRead less
Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals. This project aims to study advanced harmonic analysis concerning multiparameter theory and related topics. Harmonic analysis lies at the intersection of the frontiers of many branches of mathematics. It is fundamental to the study of operator theory and partial differential equations which has wide applications in many fields such as mathematical modelling, probability and number theory. This project aims to solve a num ....Multiparameter Harmonic Analysis: Weighted Estimates for Singular Integrals. This project aims to study advanced harmonic analysis concerning multiparameter theory and related topics. Harmonic analysis lies at the intersection of the frontiers of many branches of mathematics. It is fundamental to the study of operator theory and partial differential equations which has wide applications in many fields such as mathematical modelling, probability and number theory. This project aims to solve a number of open problems at the frontier of research in modern harmonic analysis including estimates on multilinear operators with nonsmooth kernels and advanced multiparameter theory on product spaces.Read moreRead less
Harmonic analysis: function spaces and singular integral operators. This project advances knowledge in harmonic analysis to new settings such as dyadic and multiparameter theories, Laplacian-like operators, and rough singular integrals. Outcomes will be solutions to long-standing problems, training of researchers, strong links with international researchers and enhancement of Australia's reputation in mathematics.
There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then ....There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then translate the answer back again. Expected outcomes include increased understanding of the relationship between operator algebras and the dynamical systems that they represent. Benefits include enhanced international collaboration, and increased Australian capacity in pure mathematics, particularly operator algebras.Read moreRead less
The paradox of choice: Unravelling complex superannuation decisions. Australia has been a world-leader in retirement savings policy, but there remains a pervasive lack of understanding about how best to communicate complex financial information to decision-makers, along with a push by government for clearer disclosure and greater financial literacy. This project will inform regulators and the superannuation industry on how choices are made and how to present clearer, better-designed information ....The paradox of choice: Unravelling complex superannuation decisions. Australia has been a world-leader in retirement savings policy, but there remains a pervasive lack of understanding about how best to communicate complex financial information to decision-makers, along with a push by government for clearer disclosure and greater financial literacy. This project will inform regulators and the superannuation industry on how choices are made and how to present clearer, better-designed information to be understood by ordinary participants, thus encouraging active, well-informed participation rather than passive 'default' decisions. More efficient investment and benefit choices will improve the economic welfare of retirees, reduce the burden on the working-age population and improve fiscal sustainability.Read moreRead less
Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for ....Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for example, environment risk, climate change, and energy and security problems.Read moreRead less
Androgen receptor: A master regulator of lipid metabolism. This project aims to understand how male sex hormones, or androgens, affect the amount and metabolism of fats in normal body tissues. By integrating our multi-disciplinary expertise in androgen action, molecular biology, metabolism and bioinformatics with novel techniques and instrumentation, this collaboration expects to generate the first detailed picture of how fat metabolism is controlled by androgens in humans, and how closely this ....Androgen receptor: A master regulator of lipid metabolism. This project aims to understand how male sex hormones, or androgens, affect the amount and metabolism of fats in normal body tissues. By integrating our multi-disciplinary expertise in androgen action, molecular biology, metabolism and bioinformatics with novel techniques and instrumentation, this collaboration expects to generate the first detailed picture of how fat metabolism is controlled by androgens in humans, and how closely this relates to mice. Expected outcomes and benefits will be a new understanding of which aspects of fat metabolism are most influenced by androgens, and an ability to anticipate potential metabolic impacts of natural or pharmacological fluctuations in androgen levels in humans, laboratory animals and livestock.Read moreRead less
Protecting cereal grain development at high temperatures. This project aims to investigate new temperature-responsive factors that regulate cereal grain development to protect grain production under heat stress. The new research will leverage international collaborations with access to cutting-edge genetic and technological resources, and refine novel X-ray imaging techniques in Australia, to observe how temperature affects flower structure and function in barley and rice. Favourable mutations t ....Protecting cereal grain development at high temperatures. This project aims to investigate new temperature-responsive factors that regulate cereal grain development to protect grain production under heat stress. The new research will leverage international collaborations with access to cutting-edge genetic and technological resources, and refine novel X-ray imaging techniques in Australia, to observe how temperature affects flower structure and function in barley and rice. Favourable mutations that optimise plant yield and fitness will be defined and explored in other, more complex, cereals such as wheat. Expected outcomes will be fundamental breakthroughs in understanding how plants respond to, and buffer, the effects of heat to lead to translational breeding strategies that bolster grain yield.Read moreRead less
Refining the timescale of human evolution and dispersal using ancient DNA. Understanding the timescale of human evolution and migration is a key goal of genetic analysis. It provides the foundation for studying our evolutionary and demographic history, our relationships to other hominids and our impact on the natural world. This project aims to use ancient DNA data to improve estimates of our evolutionary timescale.