Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges ....Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges of methods, problems and solutions have emerged. This project aims to settle fundamental questions in the interaction between these two fields.Read moreRead less
Ultradian rhythms in basal metabolism; relationship to thermoregulation, cardiovascular function and behavioural arousal. Results from this project will be of basic theoretical biological importance, and may well provide a foundation for understanding basal metabolic regulation and its link with cardiovascular function. Our findings may provide a new foundation for discovering strategies that alter basal metabolic rate in a manner that improves health and reduces the incidence of obesity related ....Ultradian rhythms in basal metabolism; relationship to thermoregulation, cardiovascular function and behavioural arousal. Results from this project will be of basic theoretical biological importance, and may well provide a foundation for understanding basal metabolic regulation and its link with cardiovascular function. Our findings may provide a new foundation for discovering strategies that alter basal metabolic rate in a manner that improves health and reduces the incidence of obesity related disease such as heart attack and stroke. Thus this research proposal is of special relevance to National Research Priority 2: Promoting and Maintaining Good Health. Obesity and obesity-related medical conditions particularly affect older people, so that our research is also highly relevant to National Research Priority 2 sub-areas: Ageing well, Ageing productively.Read moreRead less
New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will ....New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will assist beginners to navigate to the cutting edge of research through workshops, spring-schools and supervision. Benefits include the enhancement of Australia's position in the forefront of international research.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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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.
The significance of psychosocial safety climate, health and happiness for productivity at work. Despite national efforts, for a decade workers compensation claims for work stress have remained stable. This project proposes an innovative science driven multilevel process model, with organisational psychosocial safety climate as a lead indicator of productivity loss (for example, time loss), and a conditioner of paths linking job demands, job resources, work engagement, happiness, mental (for exam ....The significance of psychosocial safety climate, health and happiness for productivity at work. Despite national efforts, for a decade workers compensation claims for work stress have remained stable. This project proposes an innovative science driven multilevel process model, with organisational psychosocial safety climate as a lead indicator of productivity loss (for example, time loss), and a conditioner of paths linking job demands, job resources, work engagement, happiness, mental (for example, depression) and physical health to productivity. This four wave longitudinal study of 3000 Australian workers, also linking to objective workers compensation data, will provide fresh insights regarding workplace primary prevention. Read moreRead less
Tranquillising Work Stress: Corporate Climate and Antidepressant Use. This national project will investigate the plausible link between distress at work and Australia’s high levels of antidepressant use, through creative linkage of data from the Australian Workplace Barometer (10-year longitudinal study) to antidepressant medication data (via the national Pharmaceutical Benefits Scheme). The project advances theory by probing the role corporate climate plays in work design, distress, mental hea .... Tranquillising Work Stress: Corporate Climate and Antidepressant Use. This national project will investigate the plausible link between distress at work and Australia’s high levels of antidepressant use, through creative linkage of data from the Australian Workplace Barometer (10-year longitudinal study) to antidepressant medication data (via the national Pharmaceutical Benefits Scheme). The project advances theory by probing the role corporate climate plays in work design, distress, mental health problems and antidepressant use. It will determine if antidepressant use has led to an underestimation of work stress effects. It will estimate the $AUD cost of work related antidepressant use. The project will yield evidence to stimulate corporate climate change to protect worker psychological health and wellbeing.Read moreRead less
Declining mental efficiency, cognitive performance and individual differences in aged function. Ageing men's health is poorer than women's and men show lower uptake of public health messages. The project has potential to extend the productive involvement of older men in the community, thereby reducing dependence and health care expenditure. Future benefits could also include an effective, convenient, preliminary screening procedure for tracking abnormal cognitive ageing from an early stage amo ....Declining mental efficiency, cognitive performance and individual differences in aged function. Ageing men's health is poorer than women's and men show lower uptake of public health messages. The project has potential to extend the productive involvement of older men in the community, thereby reducing dependence and health care expenditure. Future benefits could also include an effective, convenient, preliminary screening procedure for tracking abnormal cognitive ageing from an early stage among elderly people. This could be also used to target and evaluate interventions designed to moderate morbidity in ageing, or enhance functional capacity with aging. The project will enhance cross-disciplinary expertise and provide doctoral and postdoctoral research training.Read moreRead less
How Individual and Societal Resources Contribute to Ageing Well through the Fourth Age: The Australian Longitudinal Study of Ageing. People aged 85 and over represent the fastest growing sector of the Australian population. It is estimated that by 2051 Australia will be home to between 1.6 million and 2.7 million 85+ year olds. This project fills a pressing need for knowledge about determinants of quality of life, resilience and successful ageing in this rarely studied age group. Detailed inform ....How Individual and Societal Resources Contribute to Ageing Well through the Fourth Age: The Australian Longitudinal Study of Ageing. People aged 85 and over represent the fastest growing sector of the Australian population. It is estimated that by 2051 Australia will be home to between 1.6 million and 2.7 million 85+ year olds. This project fills a pressing need for knowledge about determinants of quality of life, resilience and successful ageing in this rarely studied age group. Detailed information drawn from over 300 participants, all aged 85 and over, will lead the way to providing Australian communities and policy-makers with the understanding needed to plan for and manage this important demographic transition, and develop services directed at optimising health, functioning and meaningful engagement.Read moreRead less
A new conceptualization of forgiveness: Altruistic and self-interested foci as predictors of psychological costs and benefits of forgiveness. The project makes a pioneering theoretical contribution by recognising that forgiveness possesses both altruistic and self-interested dimensions. This reconceptualisation will result in three main community benefits: [1] researchers and practitioners will be better able to predict when forgiveness is most beneficial and when it is psychologically costly; [ ....A new conceptualization of forgiveness: Altruistic and self-interested foci as predictors of psychological costs and benefits of forgiveness. The project makes a pioneering theoretical contribution by recognising that forgiveness possesses both altruistic and self-interested dimensions. This reconceptualisation will result in three main community benefits: [1] researchers and practitioners will be better able to predict when forgiveness is most beneficial and when it is psychologically costly; [2] forgiveness strategies and principles will be more appropriately and strategically applied across different social contexts; and [3] public understanding of what it really means to forgive will be enhanced, thereby increasing the extent to which forgiveness may be embraced in the population.Read moreRead less