Boundary Crossing Analysis for Random Processes with Applications to Risk Management. Effective management of environmental, financial and superannuation investment risks is vitally important for Australia. Results of the project will add to the theoretical foundations of risk management and provide new computational tools for specialists working in the areas of financial engineering, insurance, superannuation funds. These tools will assist in improving risk profile evaluation and developing new ....Boundary Crossing Analysis for Random Processes with Applications to Risk Management. Effective management of environmental, financial and superannuation investment risks is vitally important for Australia. Results of the project will add to the theoretical foundations of risk management and provide new computational tools for specialists working in the areas of financial engineering, insurance, superannuation funds. These tools will assist in improving risk profile evaluation and developing new statistical control charts for security monitoring of epidemics, networks intrusions and other potentially dangerous changes. The research will also give Australia a competitive advantage in the area of education related to stochastic processes, mathematical finance, control theory and their applications.Read moreRead less
New valuation and parallel simulation methods for finance and insurance. Many Australians have superannuation savings and hold life insurance contracts. Hence, the price and risk of these investments is of particular importance to the welfare of Australia. The proposed research will improve the financial security of Australians by demonstrating that many long term insurance and superannuation products require far less capital than currently suggested. This project will provide path breaking fron ....New valuation and parallel simulation methods for finance and insurance. Many Australians have superannuation savings and hold life insurance contracts. Hence, the price and risk of these investments is of particular importance to the welfare of Australia. The proposed research will improve the financial security of Australians by demonstrating that many long term insurance and superannuation products require far less capital than currently suggested. This project will provide path breaking frontier technology for enhancing the performance of superannuation funds, insurance companies and banks, giving these Australian institutions a competitive advantage. An additional outcome will be global growth for sectors of Australia's IT industry, developing related software and tailored hardware.
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Pricing and Hedging Extreme Maturity Contracts. Most Australians belong to superannuation schemes. Hence, the long term performance and risk of these investments is of particular importance to the welfare of Australia. This research will improve the life-long financial security of Australians by clearly demonstrating that many superannuation targets can be achieved with less capital than currently suggested. This project will provide new technology for enhancing the long term performance of sup ....Pricing and Hedging Extreme Maturity Contracts. Most Australians belong to superannuation schemes. Hence, the long term performance and risk of these investments is of particular importance to the welfare of Australia. This research will improve the life-long financial security of Australians by clearly demonstrating that many superannuation targets can be achieved with less capital than currently suggested. This project will provide new technology for enhancing the long term performance of superannuation funds, managed funds, investment banks and insurance companies, giving these Australian institutions a competitive advantage and permitting them to offer innovative financial products to mitigate extreme maturity financial risk in retirement.Read moreRead less
Risk management with real-time financial and business conditions indicators. This project will develop new methods that combine financial and macroeconomic information that arrives at different intervals to better understand the implications of this information for risk management and policy decision-making. This will support better risk management strategies especially when economic conditions are very volatile.
Large-Scale Simulation Methods for Measuring Financial Performance under the Benchmark Approach. All working Australians are now required to belong to superannuation schemes. Hence, the measurement of financial performance safely, efficiently, and over long time horizons is of particular importance to Australia. One outcome alone of this research will be the provision of a technology to optimize the long term performance of superannuation funds. More generally, the results will allow better dec ....Large-Scale Simulation Methods for Measuring Financial Performance under the Benchmark Approach. All working Australians are now required to belong to superannuation schemes. Hence, the measurement of financial performance safely, efficiently, and over long time horizons is of particular importance to Australia. One outcome alone of this research will be the provision of a technology to optimize the long term performance of superannuation funds. More generally, the results will allow better decision-making and integrated, strategic planning for financial institutions and insurance companies. An additional outcome will be global growth for the sectors of Australia's IT industry developing innovative simulation based hardware and software, since the new simulation methods have wide applicability.Read moreRead less
A New Integrated Approach to Managing Risk in Financial Markets. Managing financial risks more safely, efficiently, and over longer time horizons is of particular importance in Australia, where - through superannuation - nearly everyone is exposed to the ups and downs of the financial markets. To name a specific example, the project will provide the technology to manage the risk of long-term return guarantees for superannuation funds. More generally, results of the project will allow regulatory ....A New Integrated Approach to Managing Risk in Financial Markets. Managing financial risks more safely, efficiently, and over longer time horizons is of particular importance in Australia, where - through superannuation - nearly everyone is exposed to the ups and downs of the financial markets. To name a specific example, the project will provide the technology to manage the risk of long-term return guarantees for superannuation funds. More generally, results of the project will allow regulatory authorities to accurately judge the risk profile of financial institutions, insurance companies and funds. The new generation of quantitative financial methods will benefit both Australian financial institutions and sectors of Australia's IT industry developing innovative risk management software.Read moreRead less
Broadening Choice and Increasing Diversity in Public Schools. Currently, most families are limited to the public school in their catchment area, meaning the area in which they can afford to live. This leads to socio-economically and ethnically homogenous schools and entrenches disadvantage, as well as denying students the crucial life lessons that flow from being part of a diverse student body. This project aims to investigate a model for allocating public school places that integrates catchment ....Broadening Choice and Increasing Diversity in Public Schools. Currently, most families are limited to the public school in their catchment area, meaning the area in which they can afford to live. This leads to socio-economically and ethnically homogenous schools and entrenches disadvantage, as well as denying students the crucial life lessons that flow from being part of a diverse student body. This project aims to investigate a model for allocating public school places that integrates catchment areas. The expected outcome would be a system that gives families a wider choice, enabling them to enrol in out-of-area schools, while ensuring that allocations remain fair, equitable and balanced, and also delivering benefits such as achieving a desired level of diversity in student populations within schoolsRead moreRead less
Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "goo ....Explicit Construction of Global Function Fields with Many Rational Places. The use of error-correcting codes and cryptosystems is fundamental to the secure and reliable operation of many technological devices that we depend upon in our everyday lives. Essentially invisible, both coding theory and cryptography are essential for banking (ATM machines, e-banking), commerce (e-commerce), defense (cryptography) and entertainment (digital TV and radio, music CDs, DVDs). While certain families of "good" codes and cryptosystems can be constructed from specific function fields whose existence is guaranteed by abstract theory, often no actual construction for the function field is currently known. We aim to close this gap, making a greater range of "good" codes and cryptosystems available for practical applications.
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New constructions and techniques for tensor categories. The goal of this project is to make fundamental advances in the structure theory of tensor categories. Such categories play crucial roles in numerous fields of mathematics, physics and beyond. New methods, theory and examples will be developed, inspired by algebra, representation theory and geometry. These will then be applied in the foundational study of tensor categories for (dis)proving several of the most important open conjectures in t ....New constructions and techniques for tensor categories. The goal of this project is to make fundamental advances in the structure theory of tensor categories. Such categories play crucial roles in numerous fields of mathematics, physics and beyond. New methods, theory and examples will be developed, inspired by algebra, representation theory and geometry. These will then be applied in the foundational study of tensor categories for (dis)proving several of the most important open conjectures in the field. This will open new perspectives for applications in other areas, most notably in representation theory. Other benefits include enhanced international collaboration and scientific capacity in Australia.Read moreRead less
New dualities in modular representation theory. This project aims to introduce new geometric techniques in the modular representation theory of the general linear group, and resolve fundamental questions about modular representations of orthogonal and symplectic groups. Representation theory, the mathematical study of symmetry, has applications in many areas ranging from physics to computer science. The modular setting, where the characteristic of the field is positive, is a source of the deepes ....New dualities in modular representation theory. This project aims to introduce new geometric techniques in the modular representation theory of the general linear group, and resolve fundamental questions about modular representations of orthogonal and symplectic groups. Representation theory, the mathematical study of symmetry, has applications in many areas ranging from physics to computer science. The modular setting, where the characteristic of the field is positive, is a source of the deepest conjectures in this subject. Recent breakthroughs have provided approaches to some problems in modular representation theory that were previously inaccessible. This project will promote research at the forefront of the field, and help maintain Australia's international standing. It will train Australian postgraduates, who will be able to apply their research skills in industry, and strengthen the country's ties to a vibrant international community.Read moreRead less