Discovery Early Career Researcher Award - Grant ID: DE240100006
Funder
Australian Research Council
Funding Amount
$444,847.00
Summary
Robust Derivative-Free Algorithms for Complex Optimisation Problems. Mathematical optimisation gives a systematic way for optimal decision-making. This project aims to develop new mathematical tools for complex optimisation problems where limited problem information is available. It will generate new foundational theories for alternative optimisation tools, introducing substantial new capability and rigour to the discipline. The project will create significant new mathematical optimisation techn ....Robust Derivative-Free Algorithms for Complex Optimisation Problems. Mathematical optimisation gives a systematic way for optimal decision-making. This project aims to develop new mathematical tools for complex optimisation problems where limited problem information is available. It will generate new foundational theories for alternative optimisation tools, introducing substantial new capability and rigour to the discipline. The project will create significant new mathematical optimisation techniques and create world-leading and publicly available software. These new techniques and software may ultimately be able to solve some of the most complex optimisation problems in research and industry, such as improving long-term climate predictions and designing 3D-printed medical implants.Read moreRead less
New insights into abrupt climate change using isotope model-data fusion. There have been several episodes in the past 60,000 years during which carbon dioxide was released into the atmosphere causing significant and rapid warming. This project aims to determine the source of the carbon responsible for these warming events. This project is significant because it will increase our understanding of the processes underlying abrupt past, and potential future changes. These processes are currently und ....New insights into abrupt climate change using isotope model-data fusion. There have been several episodes in the past 60,000 years during which carbon dioxide was released into the atmosphere causing significant and rapid warming. This project aims to determine the source of the carbon responsible for these warming events. This project is significant because it will increase our understanding of the processes underlying abrupt past, and potential future changes. These processes are currently underestimated or missing in climate models. The expected outcomes include a better understanding of the non-linear responses in the climate system. This should provide significant benefits, such as an assessment of whether the smooth climate changes currently projected through to year 2100 are misleading.Read moreRead less
Billiards within confocal quadrics and beyond. This project aims to analyse mathematical billiards within domains bounded by confocal conics. Mathematical billiards have applications in any situation that involves collisions and reflections, and any phenomenon that includes reflections and collisions can be modelled using mathematical billiards. This project aims to revolutionise the analysis of billiards within domains bounded by several confocal conics by exploring the relations of such billia ....Billiards within confocal quadrics and beyond. This project aims to analyse mathematical billiards within domains bounded by confocal conics. Mathematical billiards have applications in any situation that involves collisions and reflections, and any phenomenon that includes reflections and collisions can be modelled using mathematical billiards. This project aims to revolutionise the analysis of billiards within domains bounded by several confocal conics by exploring the relations of such billiards with polygonal billiards, and making research advances with the higher-dimensional generalisations within confocal quadrics and their relations with billiards within polyhedra. The project will link several significant areas of scientific work including polygonal billiards, classical integrable systems, Teichmuller spaces, and relativity theory. The project outcomes will have impact across areas of mathematics such as geometry, algebraic geometry, and dynamical systems.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE190100113
Funder
Australian Research Council
Funding Amount
$420,437.00
Summary
Interactions between volumetric units in modular buildings. This project aims to develop an in-depth understanding of the interactions between volumetric units in modular buildings to develop integration strategies for the interconnection of modules. The uptake of modular construction has been hindered by the technical complexities of the design process for manufacture and assembly, in particular the flexible connection of services. By addressing significant gaps in the guidance on the design of ....Interactions between volumetric units in modular buildings. This project aims to develop an in-depth understanding of the interactions between volumetric units in modular buildings to develop integration strategies for the interconnection of modules. The uptake of modular construction has been hindered by the technical complexities of the design process for manufacture and assembly, in particular the flexible connection of services. By addressing significant gaps in the guidance on the design of modular interconnections and their integration strategies, this project expects to enhance the industry’s capacity to adopt safe, economical and standardised designs of modular systems. This project should significantly reduce the risk in decision making in modular construction, and transformation to advanced building manufacturing technologies in Australia and beyond.Read moreRead less
Local climate changes caused by large bushfire burnt areas. This project aims to quantify the impact on local climate produced by large burnt areas after extreme bushfires. This project expects to generate new knowledge on these previously unexplored fire-scar induced changes to local climate. It will extend an innovative approach that combines satellite based earth observation with very high resolution regional climate modelling to quantify the impacts on land-atmosphere feedbacks and local cli ....Local climate changes caused by large bushfire burnt areas. This project aims to quantify the impact on local climate produced by large burnt areas after extreme bushfires. This project expects to generate new knowledge on these previously unexplored fire-scar induced changes to local climate. It will extend an innovative approach that combines satellite based earth observation with very high resolution regional climate modelling to quantify the impacts on land-atmosphere feedbacks and local climate. Expected outcomes of this project include enhanced methods to quantify local climate changes after extreme fires and their effect on vegetation recovery. This should provide significant benefits to the planning for, and management of, vegetation recovery after extreme fires.Read moreRead less
Trust-Oriented Data Analytics in Online Social Networks. Trust-oriented data analytics is essential in online social networks for reducing deceitful interactions and enhancing trust between users. This project aims to systematically devise innovative solutions by considering rich social contextual information as an important source of trust. The expected outcomes of this project include innovative solutions from a fundamental perspective to the challenges of context-aware trust propagation, trus ....Trust-Oriented Data Analytics in Online Social Networks. Trust-oriented data analytics is essential in online social networks for reducing deceitful interactions and enhancing trust between users. This project aims to systematically devise innovative solutions by considering rich social contextual information as an important source of trust. The expected outcomes of this project include innovative solutions from a fundamental perspective to the challenges of context-aware trust propagation, trust network searching/matching, and trustworthy/malicious user prediction in online social networks. This project is significant as it will advance the knowledge base for enabling a trustworthy social networking environment, benefiting billions of Australian and worldwide online social network users.Read moreRead less
Towards a superannuation system fit for the future. Towards a superannuation system fit for the future. This project aims to develop a stochastic superannuation model and propose alternative post retirement solutions, using data-led understanding of savings habits. Funding for the increasing cost of the growing older population will, if not modelled, forecast and managed adequately, swamp all other welfare and state funded costs. To manage older age costs adequately, governments need to encourag ....Towards a superannuation system fit for the future. Towards a superannuation system fit for the future. This project aims to develop a stochastic superannuation model and propose alternative post retirement solutions, using data-led understanding of savings habits. Funding for the increasing cost of the growing older population will, if not modelled, forecast and managed adequately, swamp all other welfare and state funded costs. To manage older age costs adequately, governments need to encourage people to save and provide ways people can save—but need to better understand how people save money for their old age. This research is expected to enable the “superannuation change“ necessary for the superannuation system to remain sustainable and fund retirees to live well.Read moreRead less
Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected ou ....Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected outcomes will include innovative techniques that will greatly enhance and interconnect our knowledge of field theories and quantum gravity, together with new discoveries in quantum-corrected geometries. A new network of domestic and international experts will largely benefit the fields of theoretical and mathematical physics.Read moreRead less
Quantum algebras with supersymmetries. The project aims to make fundamental advances in the theory of quantum algebras. It will develop explicit
structure and representation theory of major classes of quantum algebras which are of great importance to
quantum field theory and integrable models with supersymmetries. The intended outcomes include a solution of
the outstanding classification problem for representations of quantum algebras with supersymmetries, which has
remained open for the last tw ....Quantum algebras with supersymmetries. The project aims to make fundamental advances in the theory of quantum algebras. It will develop explicit
structure and representation theory of major classes of quantum algebras which are of great importance to
quantum field theory and integrable models with supersymmetries. The intended outcomes include a solution of
the outstanding classification problem for representations of quantum algebras with supersymmetries, which has
remained open for the last two decades. It will involve newly-developed methods within the theory of quantum
groups, and both the methods and classification will bring new mathematical instruments for the advance of
supesymmetric conformal field theory and soliton spin chain models.Read moreRead less
Multi-dimensionally consistent integrable systems in geometry and algebra. This project aims to address in an innovative manner a long-standing open problem in nonlinear mathematics, namely the determination of the algebraic and geometric origin of integrable systems. It is expected to make a fundamental contribution towards integrable systems theory. The latter provides unique access to the analytic treatment of nonlinear phenomena not only in physics but also a remarkably diverse range of area ....Multi-dimensionally consistent integrable systems in geometry and algebra. This project aims to address in an innovative manner a long-standing open problem in nonlinear mathematics, namely the determination of the algebraic and geometric origin of integrable systems. It is expected to make a fundamental contribution towards integrable systems theory. The latter provides unique access to the analytic treatment of nonlinear phenomena not only in physics but also a remarkably diverse range of areas in mathematics. Expected outcomes include extended, unified and novel key mathematical concepts in a discrete setting and their applications in algebraic and geometric contexts. Due to the choice of participants, it is anticipated that Australia will benefit from strengthened research collaborations with Germany.Read moreRead less