Advanced matrix-analytic methods with applications. Over the last twenty-five years, matrix-analytic methods have proved to be very successful in formulating and analysing certain classes of stochastic models. Motivated by applications, this project will investigate more advanced matrix-analytic methods than have hitherto been studied.
Unravelling the principles of bilateral brain wiring. This project seeks to investigate the molecular principles of brain wiring in mammals and how small changes can generate complex outcomes. Neurons in the mammalian brain must be precisely wired together for the brain to function correctly. The project aims to identify the molecular and cellular rules governing commissural wiring in the mammalian cortex to determine how the largest fibre tract in the human brain, the corpus callosum, evolved. ....Unravelling the principles of bilateral brain wiring. This project seeks to investigate the molecular principles of brain wiring in mammals and how small changes can generate complex outcomes. Neurons in the mammalian brain must be precisely wired together for the brain to function correctly. The project aims to identify the molecular and cellular rules governing commissural wiring in the mammalian cortex to determine how the largest fibre tract in the human brain, the corpus callosum, evolved. This may have involved modifications in mechanisms affecting axon guidance that differ between placentals and marsupials. The project investigates the regulatory gene networks determining commissural neuron fate, the regulation of axon guidance components, and the influence of surrounding brain tissue on the development of commissural connections.Read moreRead less
Optimising the search for the next discovery in particle physics. This project aims to uncover the new theory of particle physics that can simultaneously explain the Higgs mechanism, the presence of dark matter and the current abundance of matter over antimatter in our universe. This is not possible with current theories. This project aims to find viable theories using a wide range of data from particle astrophysics and collider experiments. With the resulting knowledge, this project aims to des ....Optimising the search for the next discovery in particle physics. This project aims to uncover the new theory of particle physics that can simultaneously explain the Higgs mechanism, the presence of dark matter and the current abundance of matter over antimatter in our universe. This is not possible with current theories. This project aims to find viable theories using a wide range of data from particle astrophysics and collider experiments. With the resulting knowledge, this project aims to design, optimise and implement better searches for new physics at the Large Hadron Collider (LHC). The new LHC results will be used to either determine the correct explanation for any new discoveries or alternatively to provide definitive limits on new theories. The results will be used to make high impact statements on the design of future facilities.Read moreRead less
Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Austr ....Implications of Global Economic Forces for Domestic Monetary Policy. The project aims to quantify and understand the extent to which international factors affect key macroeconomic variables such as inflation and interest rates in open economies. The aims will be achieved through the development and application of new macroeconomic and econometric models. Expected outcomes are new insights and policy recommendations on how to appropriately conduct monetary policy for an open economy such as Australia. This should provide significant benefits to the broader Australian economy through the conduct of suitable policy by institutions such as the Reserve Bank of Australia.Read moreRead less
Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing c ....Economic analysis of child maltreatment and child protection. This project aims to investigate the economic causes and consequences of child maltreatment. It expects to generate new knowledge by applying microeconometric methods to large Australian administrative databases that track children’s health, education and welfare receipt over time. The expected outcomes of this project include an expanded knowledge base on how economic shocks affect maltreatment, the economic consequences of placing children in out-of-home care, and the value of economic policies for reducing the intergenerational transmission of maltreatment. This should provide significant benefits, such as providing practical evidence to policy makers and service providers that help prevent child maltreatment and reduce its harms.Read moreRead less
Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project ....Computational methods for population-size-dependent branching processes. Branching processes are the primary mathematical tool used to model populations that evolve randomly in time. Most key results in the theory are derived under the simplifying assumption that individuals reproduce and die independently of each other. However, this assumption fails in most real-life situations, in particular when the environment has limited resources or when the habitat has a restricted capacity. This project aims to develop novel and effective algorithmic techniques and statistical methods for a class of branching processes with dependences. We will use these results to study significant problems in the conservation of endangered island bird populations in Oceania, and to help inform their conservation management.Read moreRead less
New estimation and testing issues in nonlinear time series econometrics. The outcomes of this project will not only complement but also enhance the existing strengths of Australian researchers in the field of econometrics. The outcomes are also expected to help stabilise the national financial market for more accurate forecasts. It is also expected that the outcomes will provide novel models to respond to climate change and variability and to provide accurate warming estimates for improving the ....New estimation and testing issues in nonlinear time series econometrics. The outcomes of this project will not only complement but also enhance the existing strengths of Australian researchers in the field of econometrics. The outcomes are also expected to help stabilise the national financial market for more accurate forecasts. It is also expected that the outcomes will provide novel models to respond to climate change and variability and to provide accurate warming estimates for improving the policy making process.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.
How does timing affect mammalian brain development and evolution? This project aims to generate fundamental knowledge on the origin of diversity in mammalian brain circuits by studying development of marsupials and rodents. The expected outcome is to elucidate how differences in the timing, rate and sequence of development of gene expression, cell differentiation and circuit formation can relate to the origin of key evolutionary innovations in the mammalian brain. The significance of understandi ....How does timing affect mammalian brain development and evolution? This project aims to generate fundamental knowledge on the origin of diversity in mammalian brain circuits by studying development of marsupials and rodents. The expected outcome is to elucidate how differences in the timing, rate and sequence of development of gene expression, cell differentiation and circuit formation can relate to the origin of key evolutionary innovations in the mammalian brain. The significance of understanding the dynamics of developmental systems that shape complex brain traits includes establishing new developmental paradigms in evolutionary theory, generating new tools to investigate and manipulate brain gene expression in vivo, and the potential discovery of the causes of neurodevelopmental dysfunction.Read moreRead less
Symmetries in real and complex geometry. This project concerns an important area of abstract modern geometry. The results and techniques of the project will lead to significant progress in this area. It will benefit the national scientific reputation, strengthen the research profile of the home institutions, and provide training to young researchers.