Dopamine Neuron Ontogeny: Convergent Neurobiological Pathway For Risk Factors Of Schizophrenia
Funder
National Health and Medical Research Council
Funding Amount
$337,214.00
Summary
Schizophrenia is associated with changes in dopamine (a signalling molecule in the brain). These changes are present prior to psychosis, suggesting they begin early in development. Our aims are to manipulate key factors in the development of brain dopamine systems to clarify their role in psychosis and schizophrenia. This work has the potential to identify early brain changes that lead to schizophrenia, which in turn may generate better diagnoses and outcomes for people with this disorder.
High Penetrance Deleterious Mutations In Blinding Glaucoma
Funder
National Health and Medical Research Council
Funding Amount
$1,345,055.00
Summary
This project aims to identify the genes most commonly mutated in individuals with advanced glaucoma. Identification of such genes will lead to improved understanding of glaucoma pathogenesis, a better ability to predict risk, and the identification of drug targets for novel therapies.
Delineating The Relationship Between Iron And Peroxisomal Disorders: The Role Of The Peroxisomal Enzyme GNPAT In Iron-Overload Disorders
Funder
National Health and Medical Research Council
Funding Amount
$700,767.00
Summary
Hereditary haemochromatosis is one of the most common genetic disorders in humans, affecting 1 in 200 Australians. We have identified a change in a peroxisomal gene which may affect iron levels in humans. The prevalence of this gene change in Australian haemochromatosis patients will be examined followed by a systematic analysis of how this protein controls iron levels in the body. Our goal is to identify and diagnose genetic changes which influence iron loading in haemochromatosis patients.
Mathematics of the quantum-classical mechanics interface. Nanotechnology focusses increasing attention on the interface between quantum and classical mechanics. Semiclassical approximations have long been studied, as a means to describe classical systems with 'small' actions as this interface is approached from the classical side. I have recently shown that classical mechanics can be formulated in complex Hilbert space, as a pseudo-quantum theory. This establishes a framework for the developme ....Mathematics of the quantum-classical mechanics interface. Nanotechnology focusses increasing attention on the interface between quantum and classical mechanics. Semiclassical approximations have long been studied, as a means to describe classical systems with 'small' actions as this interface is approached from the classical side. I have recently shown that classical mechanics can be formulated in complex Hilbert space, as a pseudo-quantum theory. This establishes a framework for the development of 'semiquantum' approximations, to enable the description of quantum systems with 'large' actions as the quantum-classical interface is approached from the quantum side. The project aims to explore some ramifications of this theoretical breakthrough.Read moreRead less
Towards logarithmic representation theory of W-algebras. Aims: To construct and analyse indecomposable representations of significance in conformal field theory.
Significance: Conformal field theory plays a key role in many developments in mathematics and physics. Logarithmic conformal field theories govern important systems such as two-dimensional critical percolation. This proposal aims to develop the representation theory necessary for understanding salient features of critical systems des ....Towards logarithmic representation theory of W-algebras. Aims: To construct and analyse indecomposable representations of significance in conformal field theory.
Significance: Conformal field theory plays a key role in many developments in mathematics and physics. Logarithmic conformal field theories govern important systems such as two-dimensional critical percolation. This proposal aims to develop the representation theory necessary for understanding salient features of critical systems described by logarithmic conformal field theory.
Expected Outcomes: Novel representations of fundamental importance in logarithmic conformal field theory.
Benefit: Resolution of open problems in logarithmic conformal field theory, thus continuing the strong tradition in the field in Australia.
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Discovery Early Career Researcher Award - Grant ID: DE130101067
Funder
Australian Research Council
Funding Amount
$302,540.00
Summary
New constructions of superintegrable systems and the connection with Painlevé transcendents. The research of this project will lead to deep discoveries in the field of superintegrability and expand our knowledge of their related algebraic structures, supersymmetric quantum mechanics and Painlevé transcendents. The project will generate new techniques that will be utilised in future applications of mathematical and theoretical physics.
Unified theory of Richardson-Gaudin integrability. Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches ....Unified theory of Richardson-Gaudin integrability. Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches for analysing the integrability of such models. Successful outcomes are expected to produce inventive mathematical techniques, linking a diverse range of fields of current activity and growth. The resulting unified theory is expected to open the door to exciting and innovative pathways in mathematical physics research.Read moreRead less
SARA: Delineating Its Association With The Onset And Development Of Liver Fibrosis
Funder
National Health and Medical Research Council
Funding Amount
$865,972.00
Summary
Liver disease, a significant burden on society, affects many in the prime of their life. Scarring of the liver is a response to injury due to many factors including alcohol, viruses, obesity, and fatty-liver disease. We have identified a protein associated with liver injury. In this project we will perform a systematic analysis to understand the role of this protein in injury progression. Ultimately we intend to develop tools to prevent and treat liver injury.
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.Read moreRead less