Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the ....Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the outstanding performance of our Snakes-and-Ladders Heuristic (SLH) for the solution of the Hamiltonian cycle problem to identify its "fixed complexity orbits" and generalise this notion to other NP-complete problems.Read moreRead less
An advanced framework for multi-agent strategic interactions. Communication security protocols and computer algorithms are expressible in terms of strategic interactions between competing agents, which can be analyzed in a game theory setting. This project will exploit the recent advances in extending this game theory framework to multidimensional spaces, thereby strengthening the theoretical foundations. This will provide new insights into the working of algorithms, potentially improving futur ....An advanced framework for multi-agent strategic interactions. Communication security protocols and computer algorithms are expressible in terms of strategic interactions between competing agents, which can be analyzed in a game theory setting. This project will exploit the recent advances in extending this game theory framework to multidimensional spaces, thereby strengthening the theoretical foundations. This will provide new insights into the working of algorithms, potentially improving future secure key distribution. Multi-agent interactions in higher dimensional spaces are considered intractable using traditional matrix methods and this project will build on our exciting new breakthrough showing that such interactions are tractable using geometric multivectors.Read moreRead less
Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and ....Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and the economy. This project expects to bring about long-term impact on quantitative finance and related applications through providing a deep understanding of, and a new perspective for, the design, risk and fairness of the finance, property and insurance markets.Read moreRead less
Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using pow ....Symmetry and geometric partial differential equations. This project aims to develop tools to assist the study of partial differential equations, which are fundamental to our understanding of the physical world. Symmetries of the Laplace equation are fundamental in both finding and interpreting its solutions and can be traced to the conformal symmetries of the underlying space. Only for the most symmetric of spaces, Euclidean space and the sphere, is this correspondence well understood. Using powerful geometric tools from conformal geometry, the project will extend this to less symmetric spaces. The knowledge generated from this project will extend to more general geometric contexts providing a concrete setting for the study of the associated natural equations in curved spaces.Read moreRead less
Equipping Australian teachers today to face AI tomorrow. Applications of Artificial Intelligence (AI) are set to transform society, including how people work and learn. Yet there is very little research about what Australian teachers need to know in order to prepare students to thrive in an AI-rich society and workforce. This study aims to construct a foundational understanding for teaching with and about AI. It will also show how to develop effective networks to empower teachers as active chang ....Equipping Australian teachers today to face AI tomorrow. Applications of Artificial Intelligence (AI) are set to transform society, including how people work and learn. Yet there is very little research about what Australian teachers need to know in order to prepare students to thrive in an AI-rich society and workforce. This study aims to construct a foundational understanding for teaching with and about AI. It will also show how to develop effective networks to empower teachers as active change agents. The expected outcomes will equip teachers with the knowledge and resources to lead the development of Australia’s future AI capability, including through enhanced classroom practices and more creative teacher networks.Read moreRead less
Supporting teachers and teaching in flexible and non-traditional schools . This project aims to address a critical gap in knowledge about the experiences and conditions of people who teach in flexible and non-traditional schools in Australia. These schools provide a second chance at education for young people with challenging behaviours and/or learning problems. This project expects to generate new knowledge about the experiences and needs of these teachers, using a combination of in-depth resea ....Supporting teachers and teaching in flexible and non-traditional schools . This project aims to address a critical gap in knowledge about the experiences and conditions of people who teach in flexible and non-traditional schools in Australia. These schools provide a second chance at education for young people with challenging behaviours and/or learning problems. This project expects to generate new knowledge about the experiences and needs of these teachers, using a combination of in-depth research methods. Expected outcomes include detailed understanding of support needs for this workforce. This will significantly benefit teachers, sponsors and principals through recommendations on best practice management of this important work, along with evidence-based training artefacts for staff recruitment and retention.
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Immersive Technologies for Rapid Metallic Tank Inspection and Repairs. Metal tank silos house some of the most dangerous chemicals, which erode the internal structure of the tank over time. It is critical to check the integrity of the tank to prevent disasters from occurring. NDE solutions uses a rapid motion scanner (RMS) to scan the interior surface of the container while it is still full of its storage material. It is the aim of this project to use Augmented Reality, to overlay the scan provi ....Immersive Technologies for Rapid Metallic Tank Inspection and Repairs. Metal tank silos house some of the most dangerous chemicals, which erode the internal structure of the tank over time. It is critical to check the integrity of the tank to prevent disasters from occurring. NDE solutions uses a rapid motion scanner (RMS) to scan the interior surface of the container while it is still full of its storage material. It is the aim of this project to use Augmented Reality, to overlay the scan provided by the RMS, onto the worker's view of the tank, control the robot via. hand gestures, and facilitate remote training/guidance. The result will allow for inspection workers to quickly and accurately the location of critical failures, without performing the hazardous procedures of internal tank inspection. Read moreRead less
Twisted K-theory, higher geometry and operator algebras. This project aims to develop new theory and techniques linking twisted K-theory, higher-geometry and operator algebras. These are all fundamental areas of mathematics with applications both within mathematics itself and to mathematical physics, particularly in string theory. Anticipated outcomes are fundamental advances in knowledge in mathematics and mathematical physics, enhancement of Australia's international mathematical reputation an ....Twisted K-theory, higher geometry and operator algebras. This project aims to develop new theory and techniques linking twisted K-theory, higher-geometry and operator algebras. These are all fundamental areas of mathematics with applications both within mathematics itself and to mathematical physics, particularly in string theory. Anticipated outcomes are fundamental advances in knowledge in mathematics and mathematical physics, enhancement of Australia's international mathematical reputation and collaborative linkages, and the training of the next generation of Australian mathematicians.Read moreRead less
Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitt ....Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitted vastly different quantities of greenhouse gases in the past. The project will analyse how the CB will impact the climate transition plans of countries such as Australia. The project will thus bring significant new research in philosophy to bear on a practical issue.Read moreRead less
Action selection in insects: how a microbrain knows what to do. Identifying what to do demands integrating sensory information with our current physiological state and memory of past experience to select the best possible action. This is the action selection problem. Our project aims to discover how tiny insect brains solve this fundamental problem. The project combines neural recordings from animals exploring virtual reality, behavioural analyses and computational modelling. The expected outco ....Action selection in insects: how a microbrain knows what to do. Identifying what to do demands integrating sensory information with our current physiological state and memory of past experience to select the best possible action. This is the action selection problem. Our project aims to discover how tiny insect brains solve this fundamental problem. The project combines neural recordings from animals exploring virtual reality, behavioural analyses and computational modelling. The expected outcome is a new understanding of the brain as an effective behavioural control system. This will benefit systems and comparative neuroscience. Our findings may also inspire solutions for robotic systems that must operate autonomously in remote and challenging environments such as disaster relief or exploration.Read moreRead less