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.
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
ARC Financial Integrity Research Network. The integrity of the financial system is constantly under stress because of the development of ever more complex financial instruments, structures and strategies, and the associated research technologies that continues to accelerate worldwide. FIRN's vision is to harness the considerable strengths of Australia's internationally renowned finance, accounting and economics researchers into a research agenda to address issues concerning the integrity of the ....ARC Financial Integrity Research Network. The integrity of the financial system is constantly under stress because of the development of ever more complex financial instruments, structures and strategies, and the associated research technologies that continues to accelerate worldwide. FIRN's vision is to harness the considerable strengths of Australia's internationally renowned finance, accounting and economics researchers into a research agenda to address issues concerning the integrity of the financial system. It will enable Australian research in this area to match the scale and impact of similar research in other major international financial centres, and play an essential role in placing Australia among the world's leaders in financial markets related research.Read moreRead less
The impacts of industry restructuring. This project aims to shed light on how Australia's workforce and communities will engage with the world of work in a future shaped by new business models and disruptive technologies. Using the closure of the automotive industry as a lens into this topic, the project will provide new insights into how displaced workers find work, use services, relate to others, and reshape their futures. It sheds light on the community-wide impacts of restructuring, providin ....The impacts of industry restructuring. This project aims to shed light on how Australia's workforce and communities will engage with the world of work in a future shaped by new business models and disruptive technologies. Using the closure of the automotive industry as a lens into this topic, the project will provide new insights into how displaced workers find work, use services, relate to others, and reshape their futures. It sheds light on the community-wide impacts of restructuring, providing new perspectives on how local resources and public policies best advance the process of adjustment.Read moreRead less
Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the ....Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the outstanding performance of our Snakes-and-Ladders Heuristic (SLH) for the solution of the Hamiltonian cycle problem to identify its "fixed complexity orbits" and generalise this notion to other NP-complete problems.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE130100040
Funder
Australian Research Council
Funding Amount
$450,000.00
Summary
Integrated Greenhouse Gas Measurement System (IGMS) for monitoring agricultural emissions at field to regional scales. Measurement of greenhouse gases is critical to Australia’s obligations to reduce carbon emissions. The measurement facility will provide urgently needed accurate emission data from Australian agriculture to establish emission baselines and develop methods to extend the point-scale measurements to whole farm, regional and national scales.
Bushfires, social connectedness and mental health. The 2009 Victorian bushfires caused much loss of life, property destruction, and community disturbance. It is important for Promoting Better Health and Strengthening the Social and Economic Fabric that an accurate understanding is achieved of the factors that contribute to optimal recovery from natural disasters. This project will survey people affected by the fires over 5 years to both profile adaptation after the fires and to identify the i ....Bushfires, social connectedness and mental health. The 2009 Victorian bushfires caused much loss of life, property destruction, and community disturbance. It is important for Promoting Better Health and Strengthening the Social and Economic Fabric that an accurate understanding is achieved of the factors that contribute to optimal recovery from natural disasters. This project will survey people affected by the fires over 5 years to both profile adaptation after the fires and to identify the individual and community processes that influence outcome. This project being undertaken in partnership by academic, disaster management, health and community organisations will provide crucial information for shaping policy for disaster management in the years ahead.Read moreRead less
Special Research Initiatives - Grant ID: SR0354466
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgradu ....Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgraduate training through workshops, summer schools and web based resources and build long-term international collaborations with EU networks and NSERC, NSF and EPSRC institutes as well as bringing together academic and industry leaders.Read moreRead less
Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and ....Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and the economy. This project expects to bring about long-term impact on quantitative finance and related applications through providing a deep understanding of, and a new perspective for, the design, risk and fairness of the finance, property and insurance markets.Read moreRead less
G-expectation and its applications to nonlinear risk management. This project will develop novel theories and methods for nonlinear risk management based on nonlinear expectations and Backward Stochastic Differential Equations. The expected outcomes of the project will place Australia in the forefront and the leading position of these fields.