Collective Obligations and Partial Compliance. The research I would conduct is likely to have considerable impact at both the national and international level. Despite the lack of systematic work on the issues my projects tackles, the importance of those issues is now widely recognized, and so work on them is likely to be widely noted and discussed. In addition, the research will have important implications for a number of the most prominent issues in contemporary life in Australia, such as issu ....Collective Obligations and Partial Compliance. The research I would conduct is likely to have considerable impact at both the national and international level. Despite the lack of systematic work on the issues my projects tackles, the importance of those issues is now widely recognized, and so work on them is likely to be widely noted and discussed. In addition, the research will have important implications for a number of the most prominent issues in contemporary life in Australia, such as issues concerning refugees, relations with the aboriginal community, and international aid.Read moreRead less
Virtue with Aristotle: Recovering an Ancient Ethical Theory for Our Time. This project aims to show how Aristotle’s theory of virtue can guide our individual and collective attempts to live good human lives in challenging times. This project expects to produce the first comprehensive study of Aristotle’s concept of virtue in all three areas of human activity in which he applies it (moral action, theoretical cognition, and craft and artistic production) and to show its relevance for contemporary ....Virtue with Aristotle: Recovering an Ancient Ethical Theory for Our Time. This project aims to show how Aristotle’s theory of virtue can guide our individual and collective attempts to live good human lives in challenging times. This project expects to produce the first comprehensive study of Aristotle’s concept of virtue in all three areas of human activity in which he applies it (moral action, theoretical cognition, and craft and artistic production) and to show its relevance for contemporary ethical theory and practice. Expected outcomes of this project include enhanced understanding of the concepts of virtue and flourishing and their historical roots in Aristotle’s ethical writings. This should provide significant benefits, such as building our collective resilience.Read moreRead less
Philosophical Foundations of Architectural Discourse. Philosophy is involved with architectural theory and practice morally as well as aesthetically. This project examines 'integrity,' 'identity' and 'character' as concepts arising out of concerns with value and commitment in moral philosophy and architecture. Rather than ethics pasted on to a profession, it discusses ways in which moral philosophy and architecture inform one another by analysing ways in which moral concepts ramify architectural ....Philosophical Foundations of Architectural Discourse. Philosophy is involved with architectural theory and practice morally as well as aesthetically. This project examines 'integrity,' 'identity' and 'character' as concepts arising out of concerns with value and commitment in moral philosophy and architecture. Rather than ethics pasted on to a profession, it discusses ways in which moral philosophy and architecture inform one another by analysing ways in which moral concepts ramify architectural practice. This project seeks to establish the foundations of a new discipline. Research will explore how architectural language - references to coherency and enclosure, planning and the designed whole - is implicit in philosophical concerns for moral integrity. This project aims to construct new ways of thinking through design, that is, to consider norms of human habitation more critically.
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Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
Investigating imprecision in preferences and its possible consequences for economics and economic choices. When people's preferences are not clear, their choices become variable and susceptible to theoretically irrelevant influences. Examples can be found in surveys of preferences intended to inform public policy in areas such as health, safety and the environment. Understanding the nature of imprecision in people's values and choices is also likely to be crucial for consumers' ability to advan ....Investigating imprecision in preferences and its possible consequences for economics and economic choices. When people's preferences are not clear, their choices become variable and susceptible to theoretically irrelevant influences. Examples can be found in surveys of preferences intended to inform public policy in areas such as health, safety and the environment. Understanding the nature of imprecision in people's values and choices is also likely to be crucial for consumers' ability to advance their interests in our complex, choice-filled society. We plan to draw out some of the implications of our experimental work on preference imprecision for consumer behaviour and existing business practices, including the regulation of fair trading.Read moreRead less
A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient ....A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems. Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.Read moreRead less
Advances in Conformal Field Theory with Extended Symmetry. This project aims to develop novel methods to formulate conformal field theories with extended symmetry that are important in variety of applications ranging from pure mathematics to phenomenology of elementary particles. The project expects to advance our knowledge in the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will include co ....Advances in Conformal Field Theory with Extended Symmetry. This project aims to develop novel methods to formulate conformal field theories with extended symmetry that are important in variety of applications ranging from pure mathematics to phenomenology of elementary particles. The project expects to advance our knowledge in the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will include conceptual results of major significance for modern theoretical and mathematical physics, thus placing Australia at the forefront of this research. A rich intellectual environment will be provided for training Australian PhD students by internationally recognised experts.
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Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity. Conformal symmetry is the maximal spacetime symmetry in relativistic quantum theory. This project will explore the dynamics of those quantum field theories and matter-coupled gravity theories that possess conformal symmetry and have recently been the focus of enormous interest worldwide. Its scientific outcomes will include a deeper understanding of Wilson loops in Yang-Mills theories, scattering amplitudes in conforma ....Novel Conformal Techniques in Quantum Field Theory, Gravity and Supergravity. Conformal symmetry is the maximal spacetime symmetry in relativistic quantum theory. This project will explore the dynamics of those quantum field theories and matter-coupled gravity theories that possess conformal symmetry and have recently been the focus of enormous interest worldwide. Its scientific outcomes will include a deeper understanding of Wilson loops in Yang-Mills theories, scattering amplitudes in conformal gravity and supergravity as well as other conceptual results of major importance to modern mathematical physics, thus placing Australia at the forefront of this research. A rich intellectual environment will be provided for training of Australian PhD students by internationally recognised experts. Read moreRead less
Conformal Field Theories with Higher Spin Symmetry and Duality Invariance. This project aims to develop novel methods to study conformal field theories with higher spin symmetry and duality invarianvce that are important in variety of applications ranging from cosmology to phenomenology of elementary particles. The project expects to advance our knowledge in one of the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics ....Conformal Field Theories with Higher Spin Symmetry and Duality Invariance. This project aims to develop novel methods to study conformal field theories with higher spin symmetry and duality invarianvce that are important in variety of applications ranging from cosmology to phenomenology of elementary particles. The project expects to advance our knowledge in one of the most challenging areas of modern theoretical physics - Quantum Gravity and physics beyond the Standard Model of particle physics. Its expected outcomes will be new conceptual results of major significance for modern theoretical and mathematical physics, thus placing Australia at the forefront of this research. Benefits will include a rich intellectual environment for training Australian PhD students by internationally recognised experts.
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Advances in HIgher Spin Gauge Theory. This project aims to explore the dynamical and geometrical aspects of higher spin gauge theory that have recently become the focus of enormous interest worldwide. Higher spin gauge theory is a unique generalisation of Einstein’s gravitation theory, which possesses maximal gauge symmetry and is a novel candidate for quantum gravity. Expected project outcomes include a better understanding of higher-spin interaction vertices, correlation functions, and other c ....Advances in HIgher Spin Gauge Theory. This project aims to explore the dynamical and geometrical aspects of higher spin gauge theory that have recently become the focus of enormous interest worldwide. Higher spin gauge theory is a unique generalisation of Einstein’s gravitation theory, which possesses maximal gauge symmetry and is a novel candidate for quantum gravity. Expected project outcomes include a better understanding of higher-spin interaction vertices, correlation functions, and other conceptual results of major importance to mathematical physics.Read moreRead less