The ability of humans to detect and be aware of errors in behaviour is a fundamental aspect of human cognition. As the saying goes: "To Err Is Human". This project seeks to understand how individual differences in our genetic makeup contribute to our ability to detect and be aware of errors in our behaviour. Understanding the biological systems underpinning error monitoring may assist in the treatment of many psychiatric disorders which are marked by poor awareness of behaviour.
The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - t ....The Sakai scheme-Askey table correspondence, analogues of isomonodromy and determinantal point processes. The Australian mathematical sciences enjoys two research groups with active interests on Painleve equations in applied mathematics which are able to address difficult problems. Such a problem is to give a formulation of Sakai's 2001 classification of the Painleve equations in a form most suitable for applications. For this links will be made with a seemingly distinct area of mathematics - the Askey table from the theory of hypergeometric orthogonal polynomials. A number of tractable PhD projects are suggested by this proposal.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE140101201
Funder
Australian Research Council
Funding Amount
$366,404.00
Summary
Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of ....Planar Brownian motion and complex analysis. This project will study a number of related problems concerning both Brownian motion and complex analysis. These include questions about Brownian exit time, conformally invariant processes such as Stochastic Loewner Evolution, and the fundamentals of complex analysis. Many of these questions are at the forefront of modern probability theory. The outcomes of this project will bring the questions considered into a position of prominence in the fields of probability and analysis, and bring international attention to Australia as a hub of important research.Read moreRead less
Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of d ....Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of differential equations. Potential benefits include increasing the international stature of mathematics in Australia and improving the quality of the workforce.Read moreRead less
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.
Measuring The Productive Efficiency Of Hospitals - A Comparison Of Parametric And Non-parametric Approaches
Funder
National Health and Medical Research Council
Funding Amount
$61,815.00
Summary
In the face of rising health service costs, an ageing population, and falling private health insurance rates, the efficient use of scarce health service resources has become a central theme in health system reform. Productive (or technical) efficiency is a key aspect of health system reform - that given health services are produced with the minimum feasible amount of resources. Despite the importance of technical efficiency there have been few published studies in Australia which measure technic ....In the face of rising health service costs, an ageing population, and falling private health insurance rates, the efficient use of scarce health service resources has become a central theme in health system reform. Productive (or technical) efficiency is a key aspect of health system reform - that given health services are produced with the minimum feasible amount of resources. Despite the importance of technical efficiency there have been few published studies in Australia which measure technical efficiency in the health sector. This study will develop theoretical and empirical approaches to measuring technical efficiency in the production of hospital services using data from Victoria. Measures of hospital technical efficiency will be developed using two quantitative modelling approaches: stochastic frontier modelling and data envelopment analysis. Results will be used to investigate the impact of patient and hospital characteristics on efficiency, and to identify economies of scale and scope in the provision of hospital services. The robustness of results to changes in variables, the sample of hospitals studied, and model assumptions will be tested, and two techniques will be compared to assess their appropriateness in the health services context which has not previously been done. Criteria for assessing the approaches include the degree to which: assumptions affect the robustness of results; the techniques capture the salient features of health services production; and the techniques produce similar rankings and estimates of inefficiency. The methods used will represent a significant contribution to international knowledge of hospital efficiency measurement, and the relationships between hospital characteristics, casemix, and efficiency. The study wil provide improved measures of hospital efficiency in Victoria, and will inform debate on hospital funding policy.Read moreRead less