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
Variable Structure Complex Network Systems with Smart Grid Applications. This project aims to establish a breakthrough theory and technology to help deliver reliability and security of complex network systems, which are subject to structure changes, against faults and cyberattacks. Expected outcomes include a new theory that lays the foundation for understanding such systems, innovative algorithms and tools for their design, and a practical software platform used for ensuring reliability and sec ....Variable Structure Complex Network Systems with Smart Grid Applications. This project aims to establish a breakthrough theory and technology to help deliver reliability and security of complex network systems, which are subject to structure changes, against faults and cyberattacks. Expected outcomes include a new theory that lays the foundation for understanding such systems, innovative algorithms and tools for their design, and a practical software platform used for ensuring reliability and security of such systems. It will be applied directly to critical infrastructure such as the national power grid to help maintain lifeline resilience and achieve economic benefits. It will also provide an opportunity to train the next generation engineers in this cutting-edge technology for Australia.Read moreRead less
Congestion control in complex networks with higher-order interactions. Traffic congestion significantly costs the Australian economy and environment. This project aims to develop ground-breaking network models of urban traffic systems to build a new congestion control framework. The purpose of network modelling is to capture the interdependence between different parts of traffic systems, which facilitates studying congestion cascade within the network. The project expects to generate next genera ....Congestion control in complex networks with higher-order interactions. Traffic congestion significantly costs the Australian economy and environment. This project aims to develop ground-breaking network models of urban traffic systems to build a new congestion control framework. The purpose of network modelling is to capture the interdependence between different parts of traffic systems, which facilitates studying congestion cascade within the network. The project expects to generate next generation of network models for more effective congestion control. Expected outcomes include novel congestion control technologies that adjust traffic signals in real-time to optimally utilise the available road space. This should provide significant economic and environmental benefits to Australians by easing traffic jams.Read moreRead less
Networks: New links between spectrum, dynamics, rewirings and applications. Modern network science has transformed the study of complex systems and led to innovations in many disciplines. This project intends to develop breakthrough theories for control of complex networked system behaviour via interventions of the link-rewiring type. New approaches will be developed for non-random, assortative and/or structured networks, which are poorly understood and difficult to deal with, despite being the ....Networks: New links between spectrum, dynamics, rewirings and applications. Modern network science has transformed the study of complex systems and led to innovations in many disciplines. This project intends to develop breakthrough theories for control of complex networked system behaviour via interventions of the link-rewiring type. New approaches will be developed for non-random, assortative and/or structured networks, which are poorly understood and difficult to deal with, despite being the real-world norm and despite their impact. The results will give new insights into epidemic outbreaks and their impact on vulnerable groups (e.g., elderly and indigenous), and provides methods to enforce resilience of infrastructure networks such as power grids, thereby providing significant economic and societal benefits. Read moreRead less
Dynamics and Resilience of Complex Network Systems with Switching Topology . This project aims to develop a breakthrough methodology and new technology to analyse and integrate large-scale network systems, such as power grids, that involve large networks of components with switching connections. The project expects to create a new theoretical framework to tackle the challenges arising from switching topology resulted from switching connections, and methods to understand their behaviours and desi ....Dynamics and Resilience of Complex Network Systems with Switching Topology . This project aims to develop a breakthrough methodology and new technology to analyse and integrate large-scale network systems, such as power grids, that involve large networks of components with switching connections. The project expects to create a new theoretical framework to tackle the challenges arising from switching topology resulted from switching connections, and methods to understand their behaviours and design intervention strategies to achieve optimal outcomes. The expected outcome is a practical technology for industry applications, such as smart power grids. This should increase the reliability and resilience of the electricity networks against faults and cyber attacks.
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Auger, Quantum Electro-Dynamics, Axions and New Technology. New technology developed by Australia, Sweden and the United States will be applied to major questions about the application of relativistic quantum mechanics to atomic structure and dynamics and spectroscopy, especially including critical issues in quantum electro-dynamics for atomic physics and applications. Discrepancies in quantum electro-dynamics have dominated international debate for decades, with claimed explanations annually fa ....Auger, Quantum Electro-Dynamics, Axions and New Technology. New technology developed by Australia, Sweden and the United States will be applied to major questions about the application of relativistic quantum mechanics to atomic structure and dynamics and spectroscopy, especially including critical issues in quantum electro-dynamics for atomic physics and applications. Discrepancies in quantum electro-dynamics have dominated international debate for decades, with claimed explanations annually failing to reveal the cause. Also a pattern of discrepancies has been seen at X-ray energies in first row metal atoms, with a similar sign and magnitude. A combined experimental an theoretical investigation will aim to reveal new light on these anomalies and serve to develop our understanding of the universe.Read moreRead less
Tibet's rivers in the Anthropocene: history and present trajectories. This project aims to produce a multifaceted history of the eastern Tibetan Plateau's rivers, focusing on the increasing human impacts during the Anthropocene. It will combine data from archival, cultural and oral sources in multiple languages with the results of scientific studies of river flow, water quality, and sediment, ice, and tree-rings analysis. The project will produce both historical narratives and graphic representa ....Tibet's rivers in the Anthropocene: history and present trajectories. This project aims to produce a multifaceted history of the eastern Tibetan Plateau's rivers, focusing on the increasing human impacts during the Anthropocene. It will combine data from archival, cultural and oral sources in multiple languages with the results of scientific studies of river flow, water quality, and sediment, ice, and tree-rings analysis. The project will produce both historical narratives and graphic representations that model past land and water usage. The results of the project will underpin environmental policy for this hydrologically and ecologically crucial region, including the development of a paradigm of care based on the region's indigenous cultural resources.Read moreRead less
How parents manage climate anxiety: coping and hoping for the whole family. This project studies how Australian parents manage climate anxiety for themselves and their families. Using mixed-methods/mixed-media approaches, it examines whether an increase in climate disasters is accelerating the spread of collective anxiety amongst families, how parents manage this anxiety for their children and partners, and if there are associated mental health burdens and gendered inequities in this management. ....How parents manage climate anxiety: coping and hoping for the whole family. This project studies how Australian parents manage climate anxiety for themselves and their families. Using mixed-methods/mixed-media approaches, it examines whether an increase in climate disasters is accelerating the spread of collective anxiety amongst families, how parents manage this anxiety for their children and partners, and if there are associated mental health burdens and gendered inequities in this management. It also looks at climate anxiety management across generations and climate histories, drawing out pessimistic/optimistic narratives about the future to enable action, resilience, and hope. It will produce an evidence base and photo-voice/documentary resources to help parents and support organisations combat climate anxiety.Read moreRead less
The philosophical foundations of women’s rights: a new history, 1600-1750. This project aims to show that the history of women’s rights is much longer and richer than previously thought. There is a common perception that the notion of women’s rights first emerged in the late eighteenth century. This project expects to generate a new understanding of feminist history by investigating texts calling for the recognition of women’s dignity, worth, nobility, and excellence (cognate concepts to rights) ....The philosophical foundations of women’s rights: a new history, 1600-1750. This project aims to show that the history of women’s rights is much longer and richer than previously thought. There is a common perception that the notion of women’s rights first emerged in the late eighteenth century. This project expects to generate a new understanding of feminist history by investigating texts calling for the recognition of women’s dignity, worth, nobility, and excellence (cognate concepts to rights) in England and Europe from 1600 to 1750, against the backdrop of the rise of Cartesianism. The anticipated outcome is greater awareness of an enduring feminist tradition within the history of philosophy. The expected social benefits include a shift in public thinking about feminist history and women in philosophy.Read moreRead less