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
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
Towards an integrated model of reasoning and reasoning development. This project aims to identify the core cognitive processes that underlie different forms of reasoning and how they develop. The project intends to use a signal detection framework to derive detailed computational models of reasoning which can then be tested through Bayesian computational modelling as well as the first systematic investigation of developmental change in reasoning processes. Expected outcomes include a more princi ....Towards an integrated model of reasoning and reasoning development. This project aims to identify the core cognitive processes that underlie different forms of reasoning and how they develop. The project intends to use a signal detection framework to derive detailed computational models of reasoning which can then be tested through Bayesian computational modelling as well as the first systematic investigation of developmental change in reasoning processes. Expected outcomes include a more principled and comprehensive computational model of reasoning in both adults and children. The project should provide significant benefits by helping to resolve long-standing debates about how humans reason complex arguments relevant to everyday lives and guide development of more effective methods for teaching reasoning.Read moreRead less
Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Austr ....Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Australia. This should provide significant benefits to the broader Australian economy through the conduct of suitable policy by institutions such as the Reserve Bank of Australia.Read moreRead less
China’s changing internal migration: patterns, causes, policy implications. China’s massive internal migration is no longer simply rural–urban and circular but highly diversified. The project aims to unravel that transition: its patterns, causes, and effects. Using 2020 census data and major longitudinal datasets, a China variant of Zelinsky’s classic mobility transition theory will be developed and deployed to identify underlying mechanisms. Among expected outcomes are powerful methods for asse ....China’s changing internal migration: patterns, causes, policy implications. China’s massive internal migration is no longer simply rural–urban and circular but highly diversified. The project aims to unravel that transition: its patterns, causes, and effects. Using 2020 census data and major longitudinal datasets, a China variant of Zelinsky’s classic mobility transition theory will be developed and deployed to identify underlying mechanisms. Among expected outcomes are powerful methods for assessing spatio-temporal migration patterns and causes, applicable to many economies especially in the Asia–Pacific. Benefits should include a new evidence base for migration and related urban–rural policy in China; and for Australia, policy inputs to improve prosperity through better relations with our biggest trading partner.Read moreRead less
Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing c ....Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing children in out-of-home care, and the value of economic policies for reducing the intergenerational transmission of maltreatment. This should provide significant benefits, such as providing practical evidence to policy makers and service providers that help prevent child maltreatment and reduce its harms.Read moreRead less
Advanced mathematical models and methods for a randomly-varying world. This project aims to develop advanced stochastic models and novel techniques, to analytically obtain performance measures and to efficiently simulate the time evolution. This project also plans to apply new models and methods to address important problems in ecology and epidemiology. The outputs of this project will advance knowledge in mathematics as well as in the intended application areas, including ultimately in improved ....Advanced mathematical models and methods for a randomly-varying world. This project aims to develop advanced stochastic models and novel techniques, to analytically obtain performance measures and to efficiently simulate the time evolution. This project also plans to apply new models and methods to address important problems in ecology and epidemiology. The outputs of this project will advance knowledge in mathematics as well as in the intended application areas, including ultimately in improved understanding, modelling, and tracking of the spread of diseases.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
Is New Guinea the missing link for understanding Australia’s rainforests? This project aims to understand the extent to which the animals in Australia have shared histories with animals from the islands of Melanesia, and especially New Guinea. Key outcomes will be identification of hotspots of unique and high evolutionary diversity across both regions, and understanding of whether New Guinea has been an overall refuge or source for rainforest animals as Australia became more arid over the last 2 ....Is New Guinea the missing link for understanding Australia’s rainforests? This project aims to understand the extent to which the animals in Australia have shared histories with animals from the islands of Melanesia, and especially New Guinea. Key outcomes will be identification of hotspots of unique and high evolutionary diversity across both regions, and understanding of whether New Guinea has been an overall refuge or source for rainforest animals as Australia became more arid over the last 20 million years. Expected benefits include addressing fundamental gaps in our knowledge of the history of both the Australian continent and its resident biota such as when landbridges first formed with New Guinea, and the identification of priority areas for conservation investment in both Australian and Melanesia.Read moreRead less
Twisted K-theory, higher geometry and operator algebras. This project aims to develop new theory and techniques linking twisted K-theory, higher-geometry and operator algebras. These are all fundamental areas of mathematics with applications both within mathematics itself and to mathematical physics, particularly in string theory. Anticipated outcomes are fundamental advances in knowledge in mathematics and mathematical physics, enhancement of Australia's international mathematical reputation an ....Twisted K-theory, higher geometry and operator algebras. This project aims to develop new theory and techniques linking twisted K-theory, higher-geometry and operator algebras. These are all fundamental areas of mathematics with applications both within mathematics itself and to mathematical physics, particularly in string theory. Anticipated outcomes are fundamental advances in knowledge in mathematics and mathematical physics, enhancement of Australia's international mathematical reputation and collaborative linkages, and the training of the next generation of Australian mathematicians.Read moreRead less