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
Snake fangs: insights into evolution, palaeoclimate and biodesign . This project aims to generate unprecedented insights into the fangs of venomous snakes, focusing on elapids (taipans, tiger snakes etc). We will examine fang shape diversity, correlation with behavior and ecology, evolutionary history, and biomechanical properties. Data will be collected using cutting-edge micro-CT technology and analysed using 3D geometric morphometrics, computer simulations, and advanced phylogenetic techniqu ....Snake fangs: insights into evolution, palaeoclimate and biodesign . This project aims to generate unprecedented insights into the fangs of venomous snakes, focusing on elapids (taipans, tiger snakes etc). We will examine fang shape diversity, correlation with behavior and ecology, evolutionary history, and biomechanical properties. Data will be collected using cutting-edge micro-CT technology and analysed using 3D geometric morphometrics, computer simulations, and advanced phylogenetic techniques. This should greatly improve understanding of the evolution of venom fangs in all snakes. Other benefits include a large 3D reference database allowing identification of fossil fangs, with applications for studies of past climates, and a characterisation of fang biomechanics, relevant to biodesign and biomimicry.Read moreRead less
Plastic brains: Neural adaptations to changing environments in reptiles. The project aims to quantify brain anatomy on an unprecedented scale in comparative neurobiology. Focusing on Australia’s diverse and extensive collection of reptiles, including goannas, dragons and venomous snakes, the project expects to generate new knowledge on the evolution of brains as these animals adapted to new habitats and climates. Data will be collected by cutting-edge micro-CT technology and advanced phylogeneti ....Plastic brains: Neural adaptations to changing environments in reptiles. The project aims to quantify brain anatomy on an unprecedented scale in comparative neurobiology. Focusing on Australia’s diverse and extensive collection of reptiles, including goannas, dragons and venomous snakes, the project expects to generate new knowledge on the evolution of brains as these animals adapted to new habitats and climates. Data will be collected by cutting-edge micro-CT technology and advanced phylogenetic techniques, which will be complemented by detailed neuroanatomy. Expected outcomes include enhanced understanding of the effects of temperature on brains, and a large database of 3D digital anatomical models. A major benefit includes a greater ability to mitigate the effects of environmental change.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.
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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.
Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be ....Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be developed during the project can be turned into IP for Australia. This will contribute to catalysing development of internationally competitive financial risk management software industry.Read moreRead less
A molecular/morphological view of animal evolution based on marsupials. This project aims to provide high-accuracy methods of evolutionary inference extendable to nearly all other organisms. It aims to research the evolution of animal diversity and calibrate evolutionary timescales on a case study of marsupial mammals, and differentiate between internal and external factors that govern animals’ ability to adapt and diversify. The project will collate a large, open-source three-dimensional catalo ....A molecular/morphological view of animal evolution based on marsupials. This project aims to provide high-accuracy methods of evolutionary inference extendable to nearly all other organisms. It aims to research the evolution of animal diversity and calibrate evolutionary timescales on a case study of marsupial mammals, and differentiate between internal and external factors that govern animals’ ability to adapt and diversify. The project will collate a large, open-source three-dimensional catalogue of the evolving marsupial skeleton, which could provide a detailed and publicly accessible narrative of the evolutionary past and future adaptability of Australian marsupials. The proposed development of methods to quantify the effect of past and present biodiversity crises (e.g. environmental change) is expected to inform longer-term conservation planning.Read moreRead less
Small is beautiful: Did gene-rich regions of mammal chromosomes evolve from microchromosomes? Most birds and reptile genomes feature many tiny microchromosomes. These are not junk, as previously thought, but contain most of the genes. Mammals lack microchromosomes, but contain gene-rich regions with similar attributes. We suggest that microchromosomes originated by genome duplication, and evolved into the gene-rich regions of mammalian chromosomes. We will test this hypothesis by comparing seque ....Small is beautiful: Did gene-rich regions of mammal chromosomes evolve from microchromosomes? Most birds and reptile genomes feature many tiny microchromosomes. These are not junk, as previously thought, but contain most of the genes. Mammals lack microchromosomes, but contain gene-rich regions with similar attributes. We suggest that microchromosomes originated by genome duplication, and evolved into the gene-rich regions of mammalian chromosomes. We will test this hypothesis by comparing sequences and genes in microchromosomes of birds, reptiles and monotremes. This will clarify the origin and evolution of the ?microgenome?, establish its suitability as a model for vertebrate genome organisation, and demonstrate whether microchromosomes are the ancestors of the gene-rich regions of mammalian chromosomes.Read moreRead less
Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate eco ....Nonlinear spatial and spatiotemporal econometrics: theory with applications. Modern societies like Australia have major challenges in the forecasting, measuring and managing of risks associated with global economic and environmental/climate changes. These tasks require advanced econometric techniques in modelling and forecasting of complex nonlinear spatiotemporal variability in economic and social systems. This project will develop frontier econometric technologies that enable more accurate economic and climate forecasts. The tools produced will provide Australia's scientists and policy-makers with a greater capacity to manage the risks associated with these challenges. A side-benefit of the research will be high-quality publications that enhance the nation's reputation in this cutting edge research.Read moreRead less
Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms tha ....Operator-Analytic Methods in Telecommunication Systems. Many systems in information technology and telecommunications evolve under conditions of uncertainty. In this context, mathematical modelling is an essential component of the design process. We shall provide techniques for analysing a class of mathematical models, called operator-analytic models, which can be used to study many of the above-mentioned systems, such as the Internet. This project will deliver efficient numerical algorithms that will make possible practical analysis of operator-analytic models.Read moreRead less