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
Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms ....Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms of function remain poorly characterised and seldom considered. The expected outcome of better understanding mechanisms through which microRNAs work should provide significant benefit to safe and effective development of microRNAs for future agricultural or therapeutic application.Read moreRead less
Transcriptional regulation by microRNAs. This project aims to better understand microRNAs, which are of central importance to how genes are regulated. Despite recent data indicating microRNAs may also play more extensive and diverse roles as nuclear regulators of gene transcription, research has been restricted to their well known mechanism of action in the cytoplasm where they post transcriptionally silence genes. This project will investigate the potential for microRNAs to regulate transcripti ....Transcriptional regulation by microRNAs. This project aims to better understand microRNAs, which are of central importance to how genes are regulated. Despite recent data indicating microRNAs may also play more extensive and diverse roles as nuclear regulators of gene transcription, research has been restricted to their well known mechanism of action in the cytoplasm where they post transcriptionally silence genes. This project will investigate the potential for microRNAs to regulate transcription on a genome-wide scale and will thereby reveal the full extent of mechanisms by which these important genetic switches control gene expression networks the characteristics of cells. This is of fundamental significance to our understanding of gene regulation.Read moreRead less
Spatio-temporal activation of genes in cells and mice. This project aims to develop novel genetic methods and instrumentation for the local, rapid and reversible activation of genes in cells and mice. This project expects to generate highly innovative light- and sound-based technologies that will permit to study living systems on the gene-level with unprecedented precision. Expected outcomes include new research and technology capacity to broadly address fundamental biological questions and to c ....Spatio-temporal activation of genes in cells and mice. This project aims to develop novel genetic methods and instrumentation for the local, rapid and reversible activation of genes in cells and mice. This project expects to generate highly innovative light- and sound-based technologies that will permit to study living systems on the gene-level with unprecedented precision. Expected outcomes include new research and technology capacity to broadly address fundamental biological questions and to create new applied processes. This project intends to provide significant benefits, such as enhanced knowledge generation, multidisciplinary training opportunities and patentable technologies.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
Discovery Early Career Researcher Award - Grant ID: DE160100804
Funder
Australian Research Council
Funding Amount
$370,000.00
Summary
Controlling chloride in plants. This project aims to discover novel components that control how plants acquire and manage chloride. Chloride is one of the two ions that commonly cause salt stress, which is a major threat to Australia’s agriculture. Regions affected by salinity are increasing worldwide due to changing weather patterns and poor land management. Knowledge of plant chloride management is underdeveloped, despite the reduction in crop yield caused by high chloride accumulation. The an ....Controlling chloride in plants. This project aims to discover novel components that control how plants acquire and manage chloride. Chloride is one of the two ions that commonly cause salt stress, which is a major threat to Australia’s agriculture. Regions affected by salinity are increasing worldwide due to changing weather patterns and poor land management. Knowledge of plant chloride management is underdeveloped, despite the reduction in crop yield caused by high chloride accumulation. The anticipated outcome of this project will inform strategies aimed at selecting for optimised chloride management traits to generate crops with improved yield.Read moreRead less
Nonlinear Panel Data Econometrics: Theory and Practice. This research addresses the ARC National Research Priorities Goal of 'An Environmentally Sustainable Australia', specifically 'Reducing and capturing emissions in transport and energy generation'. Avoiding, managing, and/or adapting to the climate change impacts is now the most pressing global environmental problem. This project will produce tangible and original insights into policy options for institutional adjustment to future climate ....Nonlinear Panel Data Econometrics: Theory and Practice. This research addresses the ARC National Research Priorities Goal of 'An Environmentally Sustainable Australia', specifically 'Reducing and capturing emissions in transport and energy generation'. Avoiding, managing, and/or adapting to the climate change impacts is now the most pressing global environmental problem. This project will produce tangible and original insights into policy options for institutional adjustment to future climate change in Australia; will provide insight into the scope for positive community behavioural change; and possible transformations in Australian social debate to maximise adaptive capacity. It will also strengthen and produce original conceptual approaches and research methods.Read moreRead less