Symmetries in CR-geometry. This project aims at investigating symmetries of geometric objects called CR-manifolds. It is expected to open new avenues for understanding such symmetries at the infinitesimal level and lead to ground-breaking results in CR-geometry. Expected outcomes include new methodology, solving long-standing problems, and establishing international research collaborations. The benefits are in enhancing the strength of the research in analysis and geometry performed in Australia ....Symmetries in CR-geometry. This project aims at investigating symmetries of geometric objects called CR-manifolds. It is expected to open new avenues for understanding such symmetries at the infinitesimal level and lead to ground-breaking results in CR-geometry. Expected outcomes include new methodology, solving long-standing problems, and establishing international research collaborations. The benefits are in enhancing the strength of the research in analysis and geometry performed in Australia, in fostering the international competitiveness of Australian research and in high-quality research training.Read moreRead less
Nilpotent associative algebras and spherical hypersurfaces. This project concerns pure basic research in mathematics and is based on an important recently discovered relationship between certain geometric and algebraic objects. In the project, this relationship will be applied in a novel way to solve several significant long-standing problems in the research area of complex geometry.
The Reconstruction and Recognition Problems for Hypersurface Singularities. This project concerns pure basic research in mathematics. It is centred around a surprising relationship between geometric objects called quasi-homogeneous isolated hypersurface singularities, and algebraic structures described as Artinian Gorenstein algebras. This relationship has not been fully understood despite numerous attempts by internationally based experts to shed light on it. Armed with a novel approach to Arti ....The Reconstruction and Recognition Problems for Hypersurface Singularities. This project concerns pure basic research in mathematics. It is centred around a surprising relationship between geometric objects called quasi-homogeneous isolated hypersurface singularities, and algebraic structures described as Artinian Gorenstein algebras. This relationship has not been fully understood despite numerous attempts by internationally based experts to shed light on it. Armed with a novel approach to Artinian Gorenstein algebras, this project proposes to clarify the nature of this relationship and utilise it for solving related geometric and algebraic problems. In particular, it aims at obtaining a groundbreaking result in the area of classical invariant theory.Read moreRead less
Helping Central Banks Measure Unobserved Variables Using Real-time Forecasts. The project addresses structural measurement problems confronted routinely by central bankers. The techniques developed, and the estimates provided, will aid directly the Partner Organisations (the Reserve Bank of Australia, the Reserve Bank of New Zealand and Norges Bank) and other central banks in formulating monetary policy. The analysis will allow interest rates in Australia and elsewhere to be set with greater pre ....Helping Central Banks Measure Unobserved Variables Using Real-time Forecasts. The project addresses structural measurement problems confronted routinely by central bankers. The techniques developed, and the estimates provided, will aid directly the Partner Organisations (the Reserve Bank of Australia, the Reserve Bank of New Zealand and Norges Bank) and other central banks in formulating monetary policy. The analysis will allow interest rates in Australia and elsewhere to be set with greater precision. The techniques developed in this project will facilitate the understanding and communication of monetary policy within the central banks concerned, and enhance communication of monetary policy strategy to the public.Read moreRead less
Sex and mutations - testing the genic capture hypothesis. The proposed project will use a novel method to test a major outstanding theoretical problem in evolutionary biology and behavioural ecology. This will strengthen Australian research in this field and contribute to the growing international recognition it currently receives. The new methods developed will be useful to other researchers interested in mutation, sexual selection and the evolution and maintenance of sex. Part of the project w ....Sex and mutations - testing the genic capture hypothesis. The proposed project will use a novel method to test a major outstanding theoretical problem in evolutionary biology and behavioural ecology. This will strengthen Australian research in this field and contribute to the growing international recognition it currently receives. The new methods developed will be useful to other researchers interested in mutation, sexual selection and the evolution and maintenance of sex. Part of the project will be conducted in collaboration with a leading researcher in the UK. This will strengthen the links between institution in Australia and the UK.Read moreRead less
Linguistic Typology and the Demise of Morphological Case: The Development of the Genitive in the Germanic Languages. This project will investigate how changes to the case marking systems of the Germanic languages affected the expression of the relationships originally encoded by genitive case. New data will be gathered concerning changes in Dutch and English. The investigation will then be extended to the other Germanic languages. A primary aim of the project is to present a case study of how ....Linguistic Typology and the Demise of Morphological Case: The Development of the Genitive in the Germanic Languages. This project will investigate how changes to the case marking systems of the Germanic languages affected the expression of the relationships originally encoded by genitive case. New data will be gathered concerning changes in Dutch and English. The investigation will then be extended to the other Germanic languages. A primary aim of the project is to present a case study of how closely related languages can diverge significantly while undergoing a similar shift from one overall ?type? to another, adding to our understanding of what sort of changes the human language capability allows in the transmission of language across generations.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE150100795
Funder
Australian Research Council
Funding Amount
$365,000.00
Summary
New approaches to estimating nonlinear time-varying macroeconometric models. Quantitative models are essential for formulating good policies. In a changing world, the analysis should be based on models that allow the behaviour of the economy to change over time. Due to computational limitations, however, one is often restricted to linear models, even when nonlinear ones are more appropriate. This project aims to develop new methods for estimating time-varying nonlinear models. Two important appl ....New approaches to estimating nonlinear time-varying macroeconometric models. Quantitative models are essential for formulating good policies. In a changing world, the analysis should be based on models that allow the behaviour of the economy to change over time. Due to computational limitations, however, one is often restricted to linear models, even when nonlinear ones are more appropriate. This project aims to develop new methods for estimating time-varying nonlinear models. Two important applications are also considered: one investigates how the zero lower bound on interest rates affects the monetary policy transmission mechanism; and, the other examines how uncertainties about monetary and fiscal policy affect economic growth and inflation. This project will have strong practical significance for conducting macroeconomic policy.Read moreRead less
Measuring inflation expectations and inflation expectations uncertainty. This project aims to construct model-based measures of inflation expectations and inflation expectations uncertainty. Inflation expectations can determine economic outcomes. This project will develop non-linear time-varying models to combine information from noisy and possibly biased measures of inflation expectations from surveys and financial markets. These model-based measures are expected to be better calibrated and to ....Measuring inflation expectations and inflation expectations uncertainty. This project aims to construct model-based measures of inflation expectations and inflation expectations uncertainty. Inflation expectations can determine economic outcomes. This project will develop non-linear time-varying models to combine information from noisy and possibly biased measures of inflation expectations from surveys and financial markets. These model-based measures are expected to be better calibrated and to provide valuable information for policymakers for formulating macroeconomic policies. They can be used to better assess the credibility of monetary policy and shed light on the causes of low inflation rate in developed economies.Read moreRead less
Symmetry and geometric structures. This is a fundamental research project in mathematics, especially concerned with the interaction between symmetry, differential equations, and geometry. Based on many classical and recently discovered instances, the aim of the project is to use symmetries to build and understand curved geometric structures from their flat counterparts.
Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and ta ....Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and taking decisions in an increasingly complex market-place. The project is also of importance to the continued evolution of physics in this country contributing to the emergence of a strong new area of statistical physics concerned with the ?real world? in a manner hitherto unknown.Read moreRead less