Harmonic analysis and spectral analysis of differential operators. Harmonic analysis has had a profound influence in many areas of mathematics, including partial differential equations. This project is at the frontier of research, closely related to theoretical work of applied technology such as signal processing, financial modelling and it ensures that Australia maintains a high research profile in this field.
Geometric transforms and duality. This Proposal is fundamental, basic research at the forefront of modern differential geometry and its application to physics. It will ensure that Australia is involved in today's mathematical and physical advances and that we have Australian mathematicians trained to take advantage of the future benefits of these advances.
Heat kernel and Riesz transform on non-compact metric measure spaces. This project will develop new techniques in heat kernel theory, with applications to such important topics as Schrodinger model for quantum mechanics. The proposed research is at the forefront of research in harmonic analysis and partial differential equations and will further enhance Australia's high international standing in these research fields.
Harmonic analysis of rough oscillations. This project intends to explore new perspectives in harmonic analysis. Harmonic analysis is a set of mathematical techniques used in many branches of science and engineering to analyse complex signals (functions). It is highly effective in modelling phenomena such as the propagation of electromagnetic waves, but it is currently limited to propagation occurring in a simple-enough medium. An intense international research effort in harmonic analysis is curr ....Harmonic analysis of rough oscillations. This project intends to explore new perspectives in harmonic analysis. Harmonic analysis is a set of mathematical techniques used in many branches of science and engineering to analyse complex signals (functions). It is highly effective in modelling phenomena such as the propagation of electromagnetic waves, but it is currently limited to propagation occurring in a simple-enough medium. An intense international research effort in harmonic analysis is currently under way to lift this limitation. This project is part of that effort, and aims to unite two of its fundamental directions of development: one focusing on the roughness of the medium; and one focusing on the interaction between highly oscillatory aspects of the function and the geometry of the medium.Read moreRead less
Evaluating regulatory initiatives directed at audit firms to improve audit quality. This project will provide evidence as to whether recent regulatory initiatives are improving the quality of audits and provide a comparison of benefits associated with audit firm inspections under differing regulatory schemes. It will inform discussion as to whether these initiatives overcome identified problems in audit quality of listed companies.
Unifying Modern Approaches in Machine Learning. The proposed research will lead to better algorithms for some important machine learning problems that could lead to better tools for extracting useful knowledge from data such as in bioinformatics and sensor networks; it will strengthen an international collaboration with one of the world's top centres of machine learning research; it will contribute to an open source toolkit of machine learning algorithms which will put Australia on the map as a ....Unifying Modern Approaches in Machine Learning. The proposed research will lead to better algorithms for some important machine learning problems that could lead to better tools for extracting useful knowledge from data such as in bioinformatics and sensor networks; it will strengthen an international collaboration with one of the world's top centres of machine learning research; it will contribute to an open source toolkit of machine learning algorithms which will put Australia on the map as a provider of sophisticated machine learning software; it will provide training opportunities for several PhD students and a postdoc to work with some of the best machine learning researchers in the world.Read moreRead less
Ageing in China and Australia: Promoting health, productivity and wellbeing. This project aims to provide insights into the ways in which life-span development and social change in China have influenced the development of policies to support the health, productivity and wellbeing of people entering later life. China’s population is rapidly ageing, bringing pressure on intergenerational support arising from smaller families, migration, urbanisation, and growing social inequalities. It may also br ....Ageing in China and Australia: Promoting health, productivity and wellbeing. This project aims to provide insights into the ways in which life-span development and social change in China have influenced the development of policies to support the health, productivity and wellbeing of people entering later life. China’s population is rapidly ageing, bringing pressure on intergenerational support arising from smaller families, migration, urbanisation, and growing social inequalities. It may also bring opportunities. Using an understanding of social determinants, cultural context and policy responses, the project plans to undertake cross-national comparisons with Australia and examine historical influences and social variations within China. The project aims to deliver a better understanding of how public policy can enhance productivity, health and wellbeing of an ageing population.Read moreRead less
The digitisation of school health and physical education. While there is growing enthusiasm for using digital technology in school health and physical education (HPE), this is happening in the absence of systematic empirical research. This project aims to describe the forms digital HPE is taking, analyse the commercial and ideological forces shaping it, and discuss its impacts. It aims to provide educational stakeholders with a knowledge base on which to anchor debate, policy and further researc ....The digitisation of school health and physical education. While there is growing enthusiasm for using digital technology in school health and physical education (HPE), this is happening in the absence of systematic empirical research. This project aims to describe the forms digital HPE is taking, analyse the commercial and ideological forces shaping it, and discuss its impacts. It aims to provide educational stakeholders with a knowledge base on which to anchor debate, policy and further research concerning the complex ethical and philosophical issues raised by the digitisation of HPE. As the first HPE research grounded in theories of digital culture, the project also aims to challenge the intellectual foundations of HPE teacher training as well as widely held views about the public health role of schools.Read moreRead less