Measuring uncertainty in global housing markets and its risk to Australia. This project aims to develop and construct a measure of systemic risk for the national real-estate markets in Australia, and its main trading partners, namely China, Japan, New Zealand, United Kingdom and United States of America. Recently developed methodology will be used to investigate how real estate risks migrate across these countries over time, and during periods of financial turbulence. This methodology is intende ....Measuring uncertainty in global housing markets and its risk to Australia. This project aims to develop and construct a measure of systemic risk for the national real-estate markets in Australia, and its main trading partners, namely China, Japan, New Zealand, United Kingdom and United States of America. Recently developed methodology will be used to investigate how real estate risks migrate across these countries over time, and during periods of financial turbulence. This methodology is intended to be employed as part of a market stability surveillance program and for assessing the impact of real-estate risk on the overall economy. Early detection of the onset of future housing bubble collapses would be of significant benefit to policy makers, Australia’s trading partners, the real estate industry and ultimately home buyers.Read moreRead less
Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave sec ....Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave security scanners. This should provide benefits such as the capability to scan a crowd without a checkpoint, which will have the potential to improve security in public places.Read moreRead less
A Functional Analysis of the Hypoelliptic Laplacian. Strike a bell, a sphere, or any geometrical object, and it rings. The frequencies of ringing are the mathematical spectrum, which encodes deep secrets about the shape of the object. The spectrum of the hypoelliptic laplacian is known to carry deep truths in mathematics and physics, but it remains difficult to understand. We propose a new analytic foundation, which will replace the so far non-analytical ad hoc approach, and make accessible many ....A Functional Analysis of the Hypoelliptic Laplacian. Strike a bell, a sphere, or any geometrical object, and it rings. The frequencies of ringing are the mathematical spectrum, which encodes deep secrets about the shape of the object. The spectrum of the hypoelliptic laplacian is known to carry deep truths in mathematics and physics, but it remains difficult to understand. We propose a new analytic foundation, which will replace the so far non-analytical ad hoc approach, and make accessible many new results. It is key to better understanding differential equations which lie at the boundary between quantum mechanics and the classical world. This will pave the way for Australian leadership in a new century of differential equations and geometry, and training of young mathematicians.Read moreRead less
Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributi ....Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributions specifically and fiscal federalism more generally, the project aims to develop a reform blueprint for a sustainable and equitable fiscal federalism regime in Australia that best aligns with Australia’s current and long-term fiscal needs.Read moreRead less
Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. Th ....Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. This project aims to revolutionise mathematical modelling of magnetic memories and put Australia at
the forefront of international research. Technological advances to create much smaller and faster memory devices
are expected to enable groundbreaking ways of managing and mining big dataRead moreRead less
Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochas ....Uncertainty on spheres and shells: mathematics and methods for applications. This project aims to develop new mathematics and mathematically rigorous approximation methods for physical problems on spherical geometries in the presence of uncertainty. Many physical phenomena are modelled on either a sphere or a spherical shell. Such models typically have large uncertainty in the input data, through uncertainty in model coefficients, forcing terms, geometry or boundary conditions. Yet their stochastic modelling and subsequent numerical analysis in the presence of uncertainty are still in their infancy. This project will conduct numerical analysis, stochastic analysis and approximation to address such problems.Read moreRead less
Inequality, Prosperity and the Australian Welfare State. This project aims to clarify contested understandings of Australian inequality and the role of economic and social policies in addressing policy challenges going forward. The objective of the project is to generate significantly improved knowledge of inequality in Australia using innovative approaches of data splicing, decomposition, simulation and backcasting to fill research gaps and resolve contested interpretations. We aim to provide a ....Inequality, Prosperity and the Australian Welfare State. This project aims to clarify contested understandings of Australian inequality and the role of economic and social policies in addressing policy challenges going forward. The objective of the project is to generate significantly improved knowledge of inequality in Australia using innovative approaches of data splicing, decomposition, simulation and backcasting to fill research gaps and resolve contested interpretations. We aim to provide a benchmark and robust framework against which policy development after the current crisis can be evaluated. This project aims to provide significant benefits, keeping Australia at the forefront of research on inequality and public policy, strengthening links between researchers and policy makers.
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Child poverty, labour markets and social transfers. This project aims to discover how earnings and social transfers determine the living standards of disadvantaged families with children, and the constraints that wage rates and employment patterns place on social transfer structures. This project will compare the family incomes of disadvantaged children and how the interaction of wage rates, employment and social policies affect them. It will compare Australian outcomes to those in OECD and midd ....Child poverty, labour markets and social transfers. This project aims to discover how earnings and social transfers determine the living standards of disadvantaged families with children, and the constraints that wage rates and employment patterns place on social transfer structures. This project will compare the family incomes of disadvantaged children and how the interaction of wage rates, employment and social policies affect them. It will compare Australian outcomes to those in OECD and middle income countries. This project expects to understand which labour market and social policies combine to lead to the best economic outcomes for disadvantaged families and children.Read moreRead less
Regional resilience to economic shocks: Australia’s COVID Economic slowdown. This project is designed to analyse how employment outcomes in Australian regions respond to economic shocks such as that caused by COVID-19. Set within the emerging literature dealing with employment resilience, the project uses unique data (Payroll Jobs index) to measure employment resilience and understand the factors that impact diverse regional outcomes. Understanding these patterns is significant as a region's ec ....Regional resilience to economic shocks: Australia’s COVID Economic slowdown. This project is designed to analyse how employment outcomes in Australian regions respond to economic shocks such as that caused by COVID-19. Set within the emerging literature dealing with employment resilience, the project uses unique data (Payroll Jobs index) to measure employment resilience and understand the factors that impact diverse regional outcomes. Understanding these patterns is significant as a region's economic performance has the potential to impact the well being of individuals and their families, as well as the sustainability of local economies and communities. The project will result in a nuanced understanding of regional employment performance that will inform policy in both government and non-government sectors. Read moreRead less
Testing links between genomic and morphological evolutionary rates. This project aims to identify, understand, and characterise patterns of evolutionary rates across different levels of biological variation. The project expects to generate knowledge about the tempo and mode of evolution by using a phylogenetic approach to test fundamental models of evolutionary rates, including the link between rates of genomic and morphological evolution. Expected outcomes of this project include detailed insig ....Testing links between genomic and morphological evolutionary rates. This project aims to identify, understand, and characterise patterns of evolutionary rates across different levels of biological variation. The project expects to generate knowledge about the tempo and mode of evolution by using a phylogenetic approach to test fundamental models of evolutionary rates, including the link between rates of genomic and morphological evolution. Expected outcomes of this project include detailed insights into the tempo and mode of macroevolution, better modelling of genomic and phenotypic evolution, and improved design of studies in evolutionary genomics. Benefits of the project include greater understanding of the evolutionary processes that have generated the diversity of the Australian biota.Read moreRead less