Harmonic analysis of Laplacians in curved spaces. Harmonic Analysis is a branch of mathematics which is interrelated to other fields of mathematics like complex analysis, number theory and partial differential equations (pdes) with many applications in engineering and technology. This project aims to solve a number of difficult fundamental problems at the frontier of harmonic analysis in understanding Laplacians in curved spaces. Such Laplacians control the propagation of heat and waves on manif ....Harmonic analysis of Laplacians in curved spaces. Harmonic Analysis is a branch of mathematics which is interrelated to other fields of mathematics like complex analysis, number theory and partial differential equations (pdes) with many applications in engineering and technology. This project aims to solve a number of difficult fundamental problems at the frontier of harmonic analysis in understanding Laplacians in curved spaces. Such Laplacians control the propagation of heat and waves on manifolds and Lie groups, arising in mathematical physics and quantum mechanics. Expected outcomes are the solutions of dispersive equations and the framework of singular integrals in curved spaces; new ideas and techniques in harmonic analysis developed; and training of Australian future mathematicians.Read moreRead less
Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of d ....Real groups, Hodge theory, and the Langlands program. This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature and are important both in number theory and in the physical sciences. In particular, this project aims to reach a comprehensive understanding of Langlands duality for real groups, investigate how Hodge theory can be used to describe the unitary dual, and investigate the micro-local structure of systems of differential equations. Potential benefits include increasing the international stature of mathematics in Australia and improving the quality of the workforce.Read moreRead less
Indigenous mathematical transforms. A class of mathematical transforms, or systematic conversions between related spaces or objects, was practised by some Aboriginal and Torres Strait Islander groups. Such transforms from ground to night sky were used in long-distance route-recording and wayfinding techniques. This project aims to elucidate these transforms, and to use this knowledge to extend the mathematical framework and applications of Fourier analysis. There is significant potential for new ....Indigenous mathematical transforms. A class of mathematical transforms, or systematic conversions between related spaces or objects, was practised by some Aboriginal and Torres Strait Islander groups. Such transforms from ground to night sky were used in long-distance route-recording and wayfinding techniques. This project aims to elucidate these transforms, and to use this knowledge to extend the mathematical framework and applications of Fourier analysis. There is significant potential for new mathematics to emerge at this exciting interface of Indigenous/non-Indigenous knowledge. Expected outcomes are interdisciplinary research training for Indigenous students and new understanding of Indigenous sciences. Emerging big data technologies such as holography may benefit. Read moreRead less
Improving the efficiency of CRISPR gene editing in cells. Human red blood cells are well-characterised and the globin gene locus is a model system for the study of gene regulation. Gene editing technologies and delivery tools are evolving rapidly and the globin gene locus is the perfect model for gene editing optimisation. This collaboration between UNSW Sydney and CSL aims to bring together our combined expertise and new technologies to develop an optimal platform for genetic modification in a ....Improving the efficiency of CRISPR gene editing in cells. Human red blood cells are well-characterised and the globin gene locus is a model system for the study of gene regulation. Gene editing technologies and delivery tools are evolving rapidly and the globin gene locus is the perfect model for gene editing optimisation. This collaboration between UNSW Sydney and CSL aims to bring together our combined expertise and new technologies to develop an optimal platform for genetic modification in a red blood cell line. Simultaneously, this project aims to generate fundamental insights into mechanisms of human gene regulation. The technological and biological outcomes of this project will be of benefit for future gene editing applications.Read moreRead less
Decoding regulatory RNA function in bacteria. All complex biological processes in bacterial cells appear to utilise regulatory small RNAs to control gene expression, but we lack a systems-level understanding of their functions and mechanisms of control. This proposal aims to address this fundamental knowledge gap using machine learning and cutting-edge, systems-level techniques to determine how small RNA sequence and structure determines function. Small RNAs have been found to control a broad ra ....Decoding regulatory RNA function in bacteria. All complex biological processes in bacterial cells appear to utilise regulatory small RNAs to control gene expression, but we lack a systems-level understanding of their functions and mechanisms of control. This proposal aims to address this fundamental knowledge gap using machine learning and cutting-edge, systems-level techniques to determine how small RNA sequence and structure determines function. Small RNAs have been found to control a broad range of traits including metabolism, biofilm formation, antibiotic tolerance, and virulence. The work proposed here will enhance our ability to predict and control bacterial gene expression with potential future impacts on bioproduction, synthetic biology, and veterinary and medical microbiology.Read moreRead less
Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms ....Hidden complexity in microRNA function. This project aims to determine the extent to which microRNAs function through “non-canonical” mechanisms within cell nuclei, how their roles are expanded by naturally occurring sequence variation and how their activity is controlled by little known families of genes that sequester and inhibit their availability. The knowledge generated is significant as microRNAs regulate the expression of virtually all genes and biological processes, yet these mechanisms of function remain poorly characterised and seldom considered. The expected outcome of better understanding mechanisms through which microRNAs work should provide significant benefit to safe and effective development of microRNAs for future agricultural or therapeutic application.Read moreRead less
Investigating the biogenesis and function of circular RNAs in the brain. Circular RNAs (circRNAs) are e a novel class of RNA molecules produced in a wide spectrum of eukaryotic organisms, from yeast to humans. Their expression is particularly high in the nervous system in the fruit fly, mouse and humans. What mechanisms are responsible for the tissue-specific enrichment of circular RNA expression? What are the consequences of circular RNA production on gene expression? The overall goal of the pr ....Investigating the biogenesis and function of circular RNAs in the brain. Circular RNAs (circRNAs) are e a novel class of RNA molecules produced in a wide spectrum of eukaryotic organisms, from yeast to humans. Their expression is particularly high in the nervous system in the fruit fly, mouse and humans. What mechanisms are responsible for the tissue-specific enrichment of circular RNA expression? What are the consequences of circular RNA production on gene expression? The overall goal of the proposed project is to elucidate these important aspects of circRNA biogenesis. Specifically, the project aims to (a) discover proteins that regulate circRNA expression, (b) elucidate how circRNA expression interacts with alternative splicing, and (c) identify circular RNAs that play regulatory roles in gene expression. Read moreRead less
Metabolic control of gene expression networks and microbiome interactions. The proposal aims to advance our understanding of how metabolism (and resulting metabolites) regulate the expression of genes, and investigate how these processes dictate the interaction of microbiota with the immune system. The project is expected to generate transformative knowledge of gene regulation, a fundamental process for cellular function, and decipher how the microbiome yeast Candida albicans interacts with immu ....Metabolic control of gene expression networks and microbiome interactions. The proposal aims to advance our understanding of how metabolism (and resulting metabolites) regulate the expression of genes, and investigate how these processes dictate the interaction of microbiota with the immune system. The project is expected to generate transformative knowledge of gene regulation, a fundamental process for cellular function, and decipher how the microbiome yeast Candida albicans interacts with immune cells and bacteria. By utilising a powerful combination of molecular and systems biology with molecular genetics and imaging, the project outcomes should foster interdisciplinary collaborations and build capacity for fundamental and applied research to benefit academia and industry, locally and globally.Read moreRead less