Understanding communication about advance care planning across the lifespan. This project aims to understand how people communicate about advance care planning for children, adolescents, and adults. This project expects to generate new knowledge by using leading social scientific and linguistic methods to analyse real-world advance care planning conversations and documents. Expected outcomes include detailed knowledge about challenges people encounter in these conversations and how to manage the ....Understanding communication about advance care planning across the lifespan. This project aims to understand how people communicate about advance care planning for children, adolescents, and adults. This project expects to generate new knowledge by using leading social scientific and linguistic methods to analyse real-world advance care planning conversations and documents. Expected outcomes include detailed knowledge about challenges people encounter in these conversations and how to manage these challenges. Over 170,000 Australians die each year, most from serious illness. This project should provide significant benefits to future initiatives for enhancing communication about advance care planning, especially in relation to young Australians, older Australians, and Australians with disabilities.Read moreRead less
Extraordinary yet mundane talk: children navigating palliative care. This project aims to provide foundational evidence of how clinicians and families communicate effectively with children with life-limiting conditions. Finding ways to sensitively communicate with children about matters that will profoundly affect them will support the everyday work of skilled healthcare professionals. In developing the first nation-wide repository of video-recordings of paediatric palliative care consultations, ....Extraordinary yet mundane talk: children navigating palliative care. This project aims to provide foundational evidence of how clinicians and families communicate effectively with children with life-limiting conditions. Finding ways to sensitively communicate with children about matters that will profoundly affect them will support the everyday work of skilled healthcare professionals. In developing the first nation-wide repository of video-recordings of paediatric palliative care consultations, the project will generate new knowledge by using conversation analysis to examine how these conversations occur in real-life clinical settings. The project expects to inform research, policy, and practice, by revealing more effective communication approaches, benefiting researchers, clinicians, healthcare users, and policy makers.Read moreRead less
Values and ethics in a global world: a semantic perspective. The question: "How are we to live?" is of fundamental importance, on an individual, social and international level. Yet in an increasingly global and pluralist world it remains difficult to articulate any values that are intelligible, let alone acceptable, to everyone. Although the literature on the subject is constantly growing, the very language of the current debate suffers from ethnocentrism, with culture-specific English words lik ....Values and ethics in a global world: a semantic perspective. The question: "How are we to live?" is of fundamental importance, on an individual, social and international level. Yet in an increasingly global and pluralist world it remains difficult to articulate any values that are intelligible, let alone acceptable, to everyone. Although the literature on the subject is constantly growing, the very language of the current debate suffers from ethnocentrism, with culture-specific English words like "fairness", "autonomy" and "tolerance" being widely used as would-be neutral conceptual tools. A framework for discussing ethics and values in a universal, non-ethnocentric perspective is urgently needed. This project aims at providing such a framework and putting it to work.Read moreRead less
HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming gen ....HARMONIC ANALYSIS AND BOUNDARY VALUE PROBLEMS FOR ELLIPTIC SYSTEMS. It is of the utmost necessity for Australia to develop the theoretical
expertise needed in the current era. The type of mathematics under
investigation here is closely allied to that needed in much of the
current boom in communication technology and medical research. The
training which would be provided to the research associates is
considerable, and would flow on to produce the expertise needed to
keep the coming generation involved in modern technological development. I will maintain my large collaborative effort with
leading mathematicians from the US, France and other countries, thus
helping to keep Australia at the forefront of a significant field of
research.Read moreRead less
HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation invol ....HARMONIC ANALYSIS OF ELLIPTIC SYSTEMS ON RIEMANNIAN MANIFOLDS. It is of the utmost necessity for Australia to develop the theoretical expertise needed in the current era. The type of mathematics under investigation here is closely allied to that needed in much of the current boom in communication technology and medical research. The training which would be provided to the research associates is considerable, and would flow on to produce the expertise needed to keep the coming generation involved in modern technological development. I will maintain my active collaborative effort with leading mathematicians from the US, France and other countries, thus helping to keep Australia at the forefront of a significant field of research.Read moreRead less
Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and ta ....Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and taking decisions in an increasingly complex market-place. The project is also of importance to the continued evolution of physics in this country contributing to the emergence of a strong new area of statistical physics concerned with the ?real world? in a manner hitherto unknown.Read moreRead less
HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electrom ....HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, AND MAXWELL'S EQUATIONS IN LIPSCHITZ DOMAINS. Boundary value problems for partial differential equations arise naturally when physical problems are expressed in mathematical terms. This project concerns the systematic development of the harmonic analysis of partial differential operators, and of the corresponding boundary integrals in order to solve such problems on irregular regions. Particular emphasis is given to studying the behaviour of electromagnetic waves both inside and outside irregularly shaped surfaces, and their propagation through it.Read moreRead less
Harmonic analysis of differential operators in Banach spaces. This proposal aims to develop harmonic analysis (the mathematical tools used in digital music and photography) in new contexts. It focuses on boundary value problems (the theory behind medical or geological imaging) and stochastic equations (which describe phenomena with random components such as the behaviour of financial markets).
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
Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limit ....Sparse grid approximations and fitting using generalised combination techniques. Sparse grid techniques provide an effective tool to deal with the
computational curse of dimensionality which is a constant challenge in
modelling complex data. The proposed research is aimed at the
development and analysis of algorithms for data fitting with sparse
grids using variants of the combination technique. The outcome of the
research is a theory which will provide insights in the applicability,
limitations and the convergence properties of the proposed
algorithms. The outcomes will be widely applicable in modelling of
large scale and complex data as is encountered in areas of
bioinformatics, physics and experimental studies of complex systems.
Read moreRead less