Computing with Lie groups and algebras: nilpotent orbits and applications. This project aims to advance knowledge of an important class of Lie algebras, for which recent work has shown that a deeper mathematical theory, and better computational tools are required. Lie theory is a mathematical area with rich applications in the physical sciences. Expected outcomes from this project include the first systematic treatment of these algebras, new powerful algorithms to compute with them, and explicit ....Computing with Lie groups and algebras: nilpotent orbits and applications. This project aims to advance knowledge of an important class of Lie algebras, for which recent work has shown that a deeper mathematical theory, and better computational tools are required. Lie theory is a mathematical area with rich applications in the physical sciences. Expected outcomes from this project include the first systematic treatment of these algebras, new powerful algorithms to compute with them, and explicit nilpotent orbit classifications that will solve open problems in black hole theory. This should significantly enhance fundamental mathematical research and the Lie functionality of leading computer algebra systems, and is expected to strengthen international linkages.Read moreRead less
Advancing the chemistry of rare earths - an Australian resource. This project aims to advance knowledge of the synthesis, structures and reactivity of highly reactive rare earth metal-organic compounds. The project expects to build the knowledge and skills to underpin many developments of Australia's still under utilized rare earth resources to diversify from Chinese domination. The anticipated outcomes will be new synthetic and reaction chemistry including a demonstration of how size and electr ....Advancing the chemistry of rare earths - an Australian resource. This project aims to advance knowledge of the synthesis, structures and reactivity of highly reactive rare earth metal-organic compounds. The project expects to build the knowledge and skills to underpin many developments of Australia's still under utilized rare earth resources to diversify from Chinese domination. The anticipated outcomes will be new synthetic and reaction chemistry including a demonstration of how size and electronic factors can be used to modify and advance rare earth chemistry. This project should provide significant benefit such as are a better knowledge base in rare earth chemistry to underpin future applications in chemical manufacturing, new materials, catalysis and recycling.Read moreRead less
Reactivity Enhanced Low-Valent Alkaline Earth Metal Compounds. The project aims to develop highly activated low oxidation state alkaline earth metal complexes as cheap and sustainable alternatives to toxic/expensive late transition metal complexes, that currently dominate the transformation of inert small molecule substrates into value-added organic chemicals. The project expects to generate major fundamental and applied advances in chemistry, using innovative synthetic and computational approac ....Reactivity Enhanced Low-Valent Alkaline Earth Metal Compounds. The project aims to develop highly activated low oxidation state alkaline earth metal complexes as cheap and sustainable alternatives to toxic/expensive late transition metal complexes, that currently dominate the transformation of inert small molecule substrates into value-added organic chemicals. The project expects to generate major fundamental and applied advances in chemistry, using innovative synthetic and computational approaches, and a multidisciplinary collaborative team. Expected outcomes include building of academic and, later, industrial research capacity, knowledge, an international network, and a highly trained workforce. Success should see substantial economic, environmental and societal benefits flowing to Australia.Read moreRead less
Teaching Main Group Compounds to Activate Catalytically Relevant Bonds. The project aims to generate novel, earth abundant main group compounds, with the ultimate objective of developing these as sustainable replacements for toxic/expensive late transition metal complexes, that are currently central to numerous stoichiometric and catalytic synthetic transformations. The project expects to generate major fundamental and applied advances in chemistry, using innovative synthetic and computational a ....Teaching Main Group Compounds to Activate Catalytically Relevant Bonds. The project aims to generate novel, earth abundant main group compounds, with the ultimate objective of developing these as sustainable replacements for toxic/expensive late transition metal complexes, that are currently central to numerous stoichiometric and catalytic synthetic transformations. The project expects to generate major fundamental and applied advances in chemistry, using innovative synthetic and computational approaches, and a multidisciplinary collaborative team. Expected outcomes include building of academic and, later, industrial research capacity, knowledge, an international research network, and a highly trained workforce. Success should see substantial economic, environmental and societal benefits flowing to Australia.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE230100579
Funder
Australian Research Council
Funding Amount
$445,754.00
Summary
The existence and abundance of small bases of permutation groups. This project aims to study bases for permutation groups, which are the mathematical formalisation of symmetry. Bases are crucial to encoding and computing with groups in diverse areas of science. Small bases are desirable for efficiency, but can be hard to find. This project expects to combine techniques from areas of algebra and probability to determine the existence and abundance of bases. Expected outcomes of this project inclu ....The existence and abundance of small bases of permutation groups. This project aims to study bases for permutation groups, which are the mathematical formalisation of symmetry. Bases are crucial to encoding and computing with groups in diverse areas of science. Small bases are desirable for efficiency, but can be hard to find. This project expects to combine techniques from areas of algebra and probability to determine the existence and abundance of bases. Expected outcomes of this project include new methods to address enduring open problems in the study of bases, as well as novel applications of existing techniques. This should provide significant benefits, such as creating and strengthening international collaborations, and building on Australia’s reputation as a powerhouse of finite group theory.Read moreRead less
A safety-preserving ecosystem for autonomous driving. In this project, Macquarie University will collaborate with UTS and SilverQuest to develop an innovative safety-preserving ecosystem for autonomous driving. This system will not only be adopted by SilverQuest’s customers (automotive companies) to secure their latest autonomous driving models, but also be commercialised as a toolset that can be plugged into existing autonomous vehicles to detect and prevent malicious attacks on autonomous driv ....A safety-preserving ecosystem for autonomous driving. In this project, Macquarie University will collaborate with UTS and SilverQuest to develop an innovative safety-preserving ecosystem for autonomous driving. This system will not only be adopted by SilverQuest’s customers (automotive companies) to secure their latest autonomous driving models, but also be commercialised as a toolset that can be plugged into existing autonomous vehicles to detect and prevent malicious attacks on autonomous driving models. The project will lead to two innovations: in theory design an attack detection and prevention ecosystem for autonomous driving and in application implement a safety analysis toolset for industry-scale autonomous systems.Read moreRead less
Effective and Efficient Situation Awareness in Big Social Media Data . Crisis management services using traditional methods like phone calls can be easily delayed due to limited communication ability in the disaster area. This project aims to help users make smart decision in critical situations by using big social media data to detect complex social events, receive recommendations, and observe event summaries. We will invent advanced social data models, efficient indices and query techniques fo ....Effective and Efficient Situation Awareness in Big Social Media Data . Crisis management services using traditional methods like phone calls can be easily delayed due to limited communication ability in the disaster area. This project aims to help users make smart decision in critical situations by using big social media data to detect complex social events, receive recommendations, and observe event summaries. We will invent advanced social data models, efficient indices and query techniques for situation awareness in big media. We expect to develop a system to evaluate the proposed situation awareness framework. The outcomes of the project will benefit social media analysis and big data fields. It will also improve the government services by enabling the real time situation awareness in crisis.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE190101231
Funder
Australian Research Council
Funding Amount
$390,000.00
Summary
Integrable systems from gauge theories. This project aims to construct and describe three important integrable systems and to produce new significant results in representation theory and mathematical physics. The focus of the project is the theory of integrable systems, a breakthrough area in modern mathematics, and it will use tools from geometric representation theory to study the interrelation between geometry and mathematical physics. Originating from string theory, the project will not only ....Integrable systems from gauge theories. This project aims to construct and describe three important integrable systems and to produce new significant results in representation theory and mathematical physics. The focus of the project is the theory of integrable systems, a breakthrough area in modern mathematics, and it will use tools from geometric representation theory to study the interrelation between geometry and mathematical physics. Originating from string theory, the project will not only provide a deeper understanding of the universe, it will also train young mathematicians and other highly qualified individuals with the potential to make a significant impact to technology, security, and the economy though their specialised skills.Read moreRead less
Combating Antimicrobial Resistance with Bismuth, Gallium and Indium. This research project focuses on the design, development, and application of new bismuth, gallium and indium compounds as antimicrobial agents. These metals act as iron mimics in vivo and can exert antimicrobial activity while displaying low systemic toxicity in humans. The project aims to exploit this, and the inability of microbes to easily develop resistance towards metals, to combat bacteria for which modern drugs are rapid ....Combating Antimicrobial Resistance with Bismuth, Gallium and Indium. This research project focuses on the design, development, and application of new bismuth, gallium and indium compounds as antimicrobial agents. These metals act as iron mimics in vivo and can exert antimicrobial activity while displaying low systemic toxicity in humans. The project aims to exploit this, and the inability of microbes to easily develop resistance towards metals, to combat bacteria for which modern drugs are rapidly becoming ineffective, as highlighted in the WHO and US Centre for Disease Control list of critical and priority pathogens. The intended outcome is that efficacy will be driven through advances in synthetic and structural chemistry, discovering the mode of action, and creating anti-infective coatings and hydrogels.Read moreRead less
Synthesis, Synergy and Sustainability: Development of active-metal reagents. The design and realisation of new and important molecules requires innovative and efficient methods. This project will create a new store of active-metal molecular tools for the selective, catalytic and atom efficient construction of a diverse library of phosphorus heterocyclic scaffolds and chemical feedstocks relevant to biological, medicinal, and materials chemistry, and the fine chemical industry. Parallel studies e ....Synthesis, Synergy and Sustainability: Development of active-metal reagents. The design and realisation of new and important molecules requires innovative and efficient methods. This project will create a new store of active-metal molecular tools for the selective, catalytic and atom efficient construction of a diverse library of phosphorus heterocyclic scaffolds and chemical feedstocks relevant to biological, medicinal, and materials chemistry, and the fine chemical industry. Parallel studies employing environmentally friendly and benign deep eutectic solvents will allow for replacement of traditional hazardous volatile organic solvents, putting the newly created active-metal reagents at the forefront of the necessary shift towards a more sustainable and 'green' polar organometallic chemistry. Read moreRead less