Higher dimensional methods for algebras and dynamical systems. Australian researchers have pioneered recent research in combinatorial C*-algebras. We are now uniquely placed to capitalise on this situation to make significant connections with research in dynamical systems. This project will thus position Australian mathematics at the nexus of two important research areas.
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with inter ....Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with international researchers and engineering scientists. This is important for the advance of science and technology in
Australia.Read moreRead less
Social outcomes, behaviour and emotional well-being of adults with autism. It is recognised that autism results in substantial life-long disability. Severe emotional and behavioural problems are likely to be a key factor in precluding adults with autism from work, independent living, social contact, and undermine their quality of life, thus increasing support needs. This project aims to address a major gap in our current knowledge - the association between severe emotional and behavioural proble ....Social outcomes, behaviour and emotional well-being of adults with autism. It is recognised that autism results in substantial life-long disability. Severe emotional and behavioural problems are likely to be a key factor in precluding adults with autism from work, independent living, social contact, and undermine their quality of life, thus increasing support needs. This project aims to address a major gap in our current knowledge - the association between severe emotional and behavioural problems in adults with autism and social outcomes. Identification of markers of adult outcomes aims to lead to an improved understanding of the pathways to better social outcomes, facilitating the development of specific interventions to provide much needed improvements in outcomes for adults with autism.Read moreRead less
Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and ....Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits and, in particular, reduce times and costs in their design and production. Read moreRead less
All-solid-state Z-scheme photocatalysts for water treatment. The project aims to develop high-performance Z-scheme photocatalysts by using two-dimensional (2D) semiconductors as building blocks for low-cost, highly-efficient pathogen inactivation and emerging pollutant degradation in stormwater treatment. The project expects to generate new fundamental knowledge in the area of photocatalyst design and Z-scheme photocatalytic system, and advance the application of photocatalytic oxidation in wate ....All-solid-state Z-scheme photocatalysts for water treatment. The project aims to develop high-performance Z-scheme photocatalysts by using two-dimensional (2D) semiconductors as building blocks for low-cost, highly-efficient pathogen inactivation and emerging pollutant degradation in stormwater treatment. The project expects to generate new fundamental knowledge in the area of photocatalyst design and Z-scheme photocatalytic system, and advance the application of photocatalytic oxidation in water treatment. The expected outcomes of the project include novel 2D Z-scheme photocatalysts and enhanced capacity in stormwater management.Read moreRead less
Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributi ....Sustainable fiscal federalism and reform of the GST distribution system. The primary source of funds for Australian States and Territories is GST revenue distributed by the Commonwealth using an equalisation formula that has proved to be politically unsustainable and in recent times manifestly inadequate to provide the revenue needed in response to crises and natural disasters. A tipping point has been reached and reform is urgently needed. Drawing on international experience with GST distributions specifically and fiscal federalism more generally, the project aims to develop a reform blueprint for a sustainable and equitable fiscal federalism regime in Australia that best aligns with Australia’s current and long-term fiscal needs.Read moreRead less
Using extreme conditions to synthesise new materials. This project aims to synthesise useful materials from non-crystalline light element precursors. Boron, carbon and nitrogen are the hardest known solids, and their ability to form many kinds of chemical bonds offers opportunities for attractive new materials. This project will apply high pressures and temperatures to non-crystalline precursor materials to access previously unobtainable synthesis conditions. This project will create strong and ....Using extreme conditions to synthesise new materials. This project aims to synthesise useful materials from non-crystalline light element precursors. Boron, carbon and nitrogen are the hardest known solids, and their ability to form many kinds of chemical bonds offers opportunities for attractive new materials. This project will apply high pressures and temperatures to non-crystalline precursor materials to access previously unobtainable synthesis conditions. This project will create strong and hard materials with tuneable optical and electronic properties. The expected outcome is new light materials that emit and detect light in the far ultraviolet for biological imaging and tough materials with low friction needed for motors and regenerative technologies.Read moreRead less
Diamane: A New Frontier in Materials Science. Single-layer diamond (‘diamane’) is a new frontier of material research although its preparation is still in infancy with many structures predicted possible but have not been made experimentally. Built on a new chemical route for 'graphite to diamane' transformation, this project will address a research gap towards synthesising new diamane(-like) nanostructures and developing an in-depth understanding of the chemically induced phase transformation an ....Diamane: A New Frontier in Materials Science. Single-layer diamond (‘diamane’) is a new frontier of material research although its preparation is still in infancy with many structures predicted possible but have not been made experimentally. Built on a new chemical route for 'graphite to diamane' transformation, this project will address a research gap towards synthesising new diamane(-like) nanostructures and developing an in-depth understanding of the chemically induced phase transformation and structure-property correlations, which will have far-reaching impact on scientific fields beyond carbon research. Preliminary data points to both feasibility and impact for discovering new materials and technologies, which will bring foreseeable scholarly, economic, and social benefits.Read moreRead less
Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. Th ....Mathematics for future magnetic devices. The aim of this project is to develop a mathematical theory and numerical models of stochastic partial differential
equations for magnetic nano-structures. Such materials will yield next-generation magnetic memories with up to
three orders of magnitude faster switching speeds and dramatically increased data storage density. New
mathematical theories will help understand their sensitivity to small random fluctuations that can destroy stored
information. This project aims to revolutionise mathematical modelling of magnetic memories and put Australia at
the forefront of international research. Technological advances to create much smaller and faster memory devices
are expected to enable groundbreaking ways of managing and mining big dataRead moreRead less