Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.
Diatom lipids to reveal sea-ice history in remote Antarctic regions. This project aims to understand seasonal Antarctic sea-ice extent using molecular, geochemical, elemental and genomic characteristics of specific marine phytoplankton (diatoms). Little is known of the seasonal sea-ice variation and the position of the summer sea-ice extent a million years before satellite records, but this information is critical to determining air-sea gas exchange and ecosystem food web regulation. This projec ....Diatom lipids to reveal sea-ice history in remote Antarctic regions. This project aims to understand seasonal Antarctic sea-ice extent using molecular, geochemical, elemental and genomic characteristics of specific marine phytoplankton (diatoms). Little is known of the seasonal sea-ice variation and the position of the summer sea-ice extent a million years before satellite records, but this information is critical to determining air-sea gas exchange and ecosystem food web regulation. This project will unite geochemical and biological approaches to provide the data to improve past Antarctic ecosystem and climate models where sea-ice data is missing. Studying diatom biomarkers in deep sea cores from Australia’s Southern Ocean will redefine knowledge of Antarctic climate and provide data necessary to improve global ecosystem and climate models.Read moreRead less
There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then ....There and back again: operator algebras, algebras and dynamical systems. The aim of this project is to develop mathematics that enables us to transfer information back and forth between dynamical systems and algebras, including operator algebras. Dynamical systems - systems that change over time - are ubiquitous, and central to modern mathematics and its applications. In mathematics, dualities allow us to translate questions from one context to another in which they are easier to solve and then translate the answer back again. Expected outcomes include increased understanding of the relationship between operator algebras and the dynamical systems that they represent. Benefits include enhanced international collaboration, and increased Australian capacity in pure mathematics, particularly operator algebras.Read moreRead less
Batteries of the future-a new strategy for CO2 fixation and energy storage. This project aims to develop metal-carbon dioxide batteries with high specific energy densities for carbon dioxide capture as well as energy conversion and storage. Metal-carbon dioxide batteries are promising not only for conversion of waste carbon dioxide to value-added chemicals, but also for storage of electricity from renewable power and balancing of the carbon cycle. By combining experimental work and theoretical m ....Batteries of the future-a new strategy for CO2 fixation and energy storage. This project aims to develop metal-carbon dioxide batteries with high specific energy densities for carbon dioxide capture as well as energy conversion and storage. Metal-carbon dioxide batteries are promising not only for conversion of waste carbon dioxide to value-added chemicals, but also for storage of electricity from renewable power and balancing of the carbon cycle. By combining experimental work and theoretical modelling, this study will explore novel electrode materials via catalyst design and understanding of the underlying reaction mechanisms. The outcomes will revolutionize battery technology and position Australia as a global leader in the critical transition to a decarbonized economy.Read moreRead less
Engineered topological nanostructures – a new frontier in materials design. The aim of engineering and utilising topological defects such as domain walls and and skyrmions in functional materials is currently receiving tremendous attention. Their significance lies in a plethora of fascinating phenomena for fundamental research and future technological applications in nanoelectronics. One frontier area of research is negative capacitance nanoelectronics using such materials, carrying the prospect ....Engineered topological nanostructures – a new frontier in materials design. The aim of engineering and utilising topological defects such as domain walls and and skyrmions in functional materials is currently receiving tremendous attention. Their significance lies in a plethora of fascinating phenomena for fundamental research and future technological applications in nanoelectronics. One frontier area of research is negative capacitance nanoelectronics using such materials, carrying the prospect of revolutionizing ultralow energy electronics, which will be developed here. The project's expected outcomes are new concepts for the synthesis and design of topological nanostructures for such applications. The utilization of these materials will benefit efficient controllable functionality for future nanoelectronics.Read moreRead less
Targeted electrolyte design for high energy aqueous batteries. The Project aims to develop a new generation, high-energy aqueous battery. A range of new aqueous electrolytes with large working window at low concentration will be designed to replace traditional, flammable and toxic organic electrolytes, and; low-cost and multi-electron reaction materials will be developed as high-capacity electrodes to replace traditional intercalation-type materials. The Project will establish the structure-prop ....Targeted electrolyte design for high energy aqueous batteries. The Project aims to develop a new generation, high-energy aqueous battery. A range of new aqueous electrolytes with large working window at low concentration will be designed to replace traditional, flammable and toxic organic electrolytes, and; low-cost and multi-electron reaction materials will be developed as high-capacity electrodes to replace traditional intercalation-type materials. The Project will establish the structure-property relationship for electrolytes and interphases via advanced characterization(s) and computation. The new battery will be safe, energetic and sustainable for the billion-dollar energy storage market for electric vehicle, and smart-grid whilst addressing concurrently battery safety and boosted energy-density.Read moreRead less
Estimating genotype-environment interaction using genomic information. This project aims to develop statistical methods that can explore genotype–environment interaction at the genomic level using genome-wide single nucleotide polymorphisms or sequence data. It plans to estimate how the effects of genetic variants change with changing environmental conditions and how overall genetic variance changes due to changing effects in specific gene regions. It plans to deliver statistical models and meth ....Estimating genotype-environment interaction using genomic information. This project aims to develop statistical methods that can explore genotype–environment interaction at the genomic level using genome-wide single nucleotide polymorphisms or sequence data. It plans to estimate how the effects of genetic variants change with changing environmental conditions and how overall genetic variance changes due to changing effects in specific gene regions. It plans to deliver statistical models and methods and an efficient algorithm implemented in software, which would broadly benefit the field of complex trait genetics. Methods to estimate genotype–environment interaction effects at the genomic level would help elucidate complex biological systems, including human genetic response to changing environmental factors and the potential adaptation of animals to changing environmental conditions.Read moreRead less
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.
Whole-genome multivariate reaction norm model for complex traits. This project aims to develop a multivariate whole-genome genotype-covariate correlation and interaction model that can be applied to a wide range of existing genome-wide association study (GWAS) datasets. Genotype-covariate correlation and interaction (GCCI) are fundamental in biology but there is no standard approach to disentangle interaction from correlation in the whole-genome analyses. This project will address the key featur ....Whole-genome multivariate reaction norm model for complex traits. This project aims to develop a multivariate whole-genome genotype-covariate correlation and interaction model that can be applied to a wide range of existing genome-wide association study (GWAS) datasets. Genotype-covariate correlation and interaction (GCCI) are fundamental in biology but there is no standard approach to disentangle interaction from correlation in the whole-genome analyses. This project will address the key feature in biology, which relates to dissecting the complex mechanism of association and interaction. The proposed statistical model implemented in a context of a novel design based on multiple GWAS data sets is a paradigm shifting-tool with applications to multiple industries.Read moreRead less
Evolution and function of mammalian sex chromosomes. Research on iconic Australian mammals has profoundly reshaped our understanding of reproductive biology and sex chromosome evolution. In this project we combine unique expertise, international collaboration and novel genetic information about Australia's unique egg-laying mammals (echidna and platypus) to investigate major aspects of reproduction. This work will address fundamental aspects of sex chromosome biology and advance our understandin ....Evolution and function of mammalian sex chromosomes. Research on iconic Australian mammals has profoundly reshaped our understanding of reproductive biology and sex chromosome evolution. In this project we combine unique expertise, international collaboration and novel genetic information about Australia's unique egg-laying mammals (echidna and platypus) to investigate major aspects of reproduction. This work will address fundamental aspects of sex chromosome biology and advance our understanding of mammalian reproduction. The knowledge gained will have application in captive breeding and conservation of these extraordinary Australian mammals. The project also provides opportunity to train research students in cutting edge molecular biology and informatics.Read moreRead less