Modern statistical methods for clustering community ecology data. This project will develop statistical methods and software for clustering community ecology data, and use them to analyse systematic survey and citizen science program data collected along the Great Barrier Reef. By doing so, the project will address the dearth of statistical classification techniques for high-dimensional, multi-response data with complex relationships. When the resultant clustering methods are used to construct b ....Modern statistical methods for clustering community ecology data. This project will develop statistical methods and software for clustering community ecology data, and use them to analyse systematic survey and citizen science program data collected along the Great Barrier Reef. By doing so, the project will address the dearth of statistical classification techniques for high-dimensional, multi-response data with complex relationships. When the resultant clustering methods are used to construct bioregions and characterise species’ environmental responses, they should significantly enhance evaluations of the impact of human activity and environmental change on coral diversity. Ultimately, these evaluations can underpin future decisions in the conservation and management of the Great Barrier Reef.Read moreRead less
Global wavefront propagation and non-elliptic Fredholm theory. Many significant phenomena in the natural world are described by partial differential equations that involve evolution in time. This project aims to develop new mathematical methods, involving recently discovered global wavefront set analysis and Fredholm theory, to solve such equations. These methods aim to extend the range of equations that can be solved as well as yield more information about solutions, in particular, their long-t ....Global wavefront propagation and non-elliptic Fredholm theory. Many significant phenomena in the natural world are described by partial differential equations that involve evolution in time. This project aims to develop new mathematical methods, involving recently discovered global wavefront set analysis and Fredholm theory, to solve such equations. These methods aim to extend the range of equations that can be solved as well as yield more information about solutions, in particular, their long-time asymptotics.Read moreRead less
Moduli, invariants, and algebraisation. This project is in pure mathematics. It aims to address gaps in our
knowledge in the modern geometries and their associated algebraic structures that arise in classification problems that pervade mathematics and its applications.
This project expects to generate new knowledge in modern algebra and geometry.
Expected outcomes of this project include major progress in our
understanding of invariants of derived categories of algebraic stacks and the
relat ....Moduli, invariants, and algebraisation. This project is in pure mathematics. It aims to address gaps in our
knowledge in the modern geometries and their associated algebraic structures that arise in classification problems that pervade mathematics and its applications.
This project expects to generate new knowledge in modern algebra and geometry.
Expected outcomes of this project include major progress in our
understanding of invariants of derived categories of algebraic stacks and the
relationship between algebraic and other geometries.
The benefit will be to enhance the international stature of Australian science.Read moreRead less
Real-time imaging of crystal strengthening mechanisms in metals. The strength limit of a metal is marked by rapid motion of crystalline defects. The associated speeds can locally approach that of sound. To probe the associated mechanisms clearly requires both spatial and temporal resolution. We propose to create a new bulk x-ray technique with an unprecedented combination of temporal and spatial resolution. We plan to exploit the technique to mediate a step change in modelling strength based on ....Real-time imaging of crystal strengthening mechanisms in metals. The strength limit of a metal is marked by rapid motion of crystalline defects. The associated speeds can locally approach that of sound. To probe the associated mechanisms clearly requires both spatial and temporal resolution. We propose to create a new bulk x-ray technique with an unprecedented combination of temporal and spatial resolution. We plan to exploit the technique to mediate a step change in modelling strength based on twinning. The formation of crystalline twins is known to dictate the strength of the light metal magnesium. A fuller understanding of the effect of twinning on strength in this metal will provide much needed confidence to implement it more widely in energy saving applications.Read moreRead less
Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This proj ....Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This project will answer many fundamental questions about large, random hypergraphs. The expected outcomes of the project also include new tools for working with hypergraphs, such as efficient algorithms for sampling hypergraphs. These outcomes will benefit researchers who use hypergraphs in their work and will enhance Australia's reputation for research in this area.Read moreRead less
Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approac ....Design of Real-time Optimisation Methods with Guaranteed Performance. The project aim is the development of a framework for the advancement of optimisation algorithms operating in real-time applications. This project expects to generate new knowledge in the area of systems theory and optimisation, and its application to time-varying problems. Expected outcomes of this project should lead to a new theoretical and practical framework that aims to ameliorate the shortcomings of the existing approaches that struggle to rapidly respond to new information. This should provide significant benefits. Specifically, this project aims to facilitate a technological leap that generates smaller, faster, and more powerful embedded systems such as broadband services, mobile phones, medical imagining, radar and avionics.Read moreRead less
Industrial Transformation Training Centres - Grant ID: IC180100021
Funder
Australian Research Council
Funding Amount
$4,163,359.00
Summary
ARC Training Centre for the Development of Tools for Fragment Based Design. The ARC Training Centre for the Development of Tools for Fragment Based Design aims to inspire the next generation of drug discovery research leaders. It plans to provide direct experience with industry partners, training and master classes in early stage drug-discovery from industry experts. The Centre is expected to accelerate research translation and industry engagement by providing an efficient strategy for the scree ....ARC Training Centre for the Development of Tools for Fragment Based Design. The ARC Training Centre for the Development of Tools for Fragment Based Design aims to inspire the next generation of drug discovery research leaders. It plans to provide direct experience with industry partners, training and master classes in early stage drug-discovery from industry experts. The Centre is expected to accelerate research translation and industry engagement by providing an efficient strategy for the screening of a biological target and early medicinal chemistry for optimisation. The expected outcome of the Centre is to equip the trainees with the skills to make key contributions to the sustainability and growth of the sector and to provide significant capacity to address global challenges for 21st century pharmaceutical innovation.Read moreRead less
Integrated Farm Modelling to Improve Resilience and Sustainable Prosperity. This project aims to improve farm resilience, farm management, and economic decision-making in Australia and internationally. It expects to generate new interdisciplinary knowledge to integrate our understanding of agro-ecosystems and innovative tools to assess their status and manage their operations more effectively. Expected outcomes include the ability to inform farmers, bankers, and land managers about the trade-off ....Integrated Farm Modelling to Improve Resilience and Sustainable Prosperity. This project aims to improve farm resilience, farm management, and economic decision-making in Australia and internationally. It expects to generate new interdisciplinary knowledge to integrate our understanding of agro-ecosystems and innovative tools to assess their status and manage their operations more effectively. Expected outcomes include the ability to inform farmers, bankers, and land managers about the trade-offs between resilience and efficiency on farms. This should provide significant benefits, including the ability to minimize financial risks to farmers and banks, allow better investment decisions, and achieve sustainable long-term outcomes for both private and public well-being.Read moreRead less
Industrial Transformation Training Centres - Grant ID: IC200100009
Funder
Australian Research Council
Funding Amount
$4,861,236.00
Summary
ARC Training Centre in Optimisation Technologies, Integrated Methodologies, and Applications (OPTIMA). OPTIMA addresses industry’s urgent need for decision-making tools for global competitiveness: reducing lead times, and financial and environmental costs, while improving efficiency, quality, and agility. Despite strong expertise in academia, industry is yet to fully benefit from optimisation technology due to its high barrier to entry. Connecting industry partners with world-leading interdiscip ....ARC Training Centre in Optimisation Technologies, Integrated Methodologies, and Applications (OPTIMA). OPTIMA addresses industry’s urgent need for decision-making tools for global competitiveness: reducing lead times, and financial and environmental costs, while improving efficiency, quality, and agility. Despite strong expertise in academia, industry is yet to fully benefit from optimisation technology due to its high barrier to entry. Connecting industry partners with world-leading interdisciplinary researchers and talented students, OPTIMA will advance an industry-ready optimisation toolkit, while training a new generation of industry practitioners and over 120 young researchers, vanguarding a highly skilled workforce of change agents for transformation of the advanced manufacturing, energy resources, and critical infrastructure sectors.Read moreRead less