Asymptotics of the exponentially small. Asymptotic analysis plays a vital role in studying the complex interfacial dynamics that are fundamental for practical problems in fluid mechanics such as the withdrawal of oil and gas from underground reservoirs and the optimal design of ship hulls to minimise wave drag. These applications exhibit extremely small physical effects that may be crucially important but cannot be described using classical asymptotic analysis. This project will develop state of ....Asymptotics of the exponentially small. Asymptotic analysis plays a vital role in studying the complex interfacial dynamics that are fundamental for practical problems in fluid mechanics such as the withdrawal of oil and gas from underground reservoirs and the optimal design of ship hulls to minimise wave drag. These applications exhibit extremely small physical effects that may be crucially important but cannot be described using classical asymptotic analysis. This project will develop state of the art mathematical techniques in exponential asymptotics to address this deficiency in the classical theory, and provide a deeper understanding of pattern formation, instabilities and wave propagation on the interface between two fluids.Read moreRead less
Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of develo ....Image-based Multiscale Modelling of Transport Phenomena in Porous Media. This project aims to develop an innovative general framework to build multiphase porous media transport models directly from electron microscope images of the underlying microstructure. Leading edge experimental, computational and applied mathematical techniques are proposed to drive this novel approach of multiscale modelling, employable across numerous fields of science and engineering. The central project theme of developing an efficient and accurate multiscale model for simulating transport in heterogeneous porous media is expected to find application in the drying, timber and crop industries, and governmental agencies managing pollution in groundwater resources. This insight is likely to be invaluable for designing new industrial technologies and optimising current operations.Read moreRead less
Games and decisions with bounded rationality: theory and economic implications. This project will develop concepts and tools for decision making in complex environments, where it is impossible to fully characterise the possible outcomes and factors that may affect them. A central goal will be to integrate heuristic rules such as the precautionary principle with the more formal approach adopted in benefit-cost analysis.
Discovery Early Career Researcher Award - Grant ID: DE140100633
Funder
Australian Research Council
Funding Amount
$395,169.00
Summary
Problems in the Langlands Program. The Langlands program is an international research program sitting at the interface of number theory, representation theory, algebraic geometry, and mathematical physics. The aim of this project is to prove three conjectures in this program. Settling these conjectures would lead to significant advances in the Langlands program by strengthening connections between this program and the geometry of loop groups, representations of finite groups, and representations ....Problems in the Langlands Program. The Langlands program is an international research program sitting at the interface of number theory, representation theory, algebraic geometry, and mathematical physics. The aim of this project is to prove three conjectures in this program. Settling these conjectures would lead to significant advances in the Langlands program by strengthening connections between this program and the geometry of loop groups, representations of finite groups, and representations of affine Kac-Moody algebras at the critical level.Read moreRead less
Heterogeneity, Wage Inequality, Unemployment, and Economic Growth. This project would provide the first internally consistent theory of wage inequality, unemployment and economic growth - and the roles that government policy variables play in determining them. It would use and extend frontier developments in theory, and identify the settings of policy variables (unemployment insurance, tax structures, education policies) that maximise social welfare, given that governments must satisfy their bud ....Heterogeneity, Wage Inequality, Unemployment, and Economic Growth. This project would provide the first internally consistent theory of wage inequality, unemployment and economic growth - and the roles that government policy variables play in determining them. It would use and extend frontier developments in theory, and identify the settings of policy variables (unemployment insurance, tax structures, education policies) that maximise social welfare, given that governments must satisfy their budget constraints. It also aims to uncover the relationship between the innate abilities of workers and their education choices - and the consequences for macro economies and public policy.Read moreRead less
Categorical symmetries in representation theory. This project aims to develop categorical symmetries of central objects in mathematics such as braid groups, the Hilbert scheme of points, and the Virasoro algebra. The concept of symmetry is an important organising principle in science. Representation theory is the field of mathematics concerned with studying symmetries. The problems proposed have connections to many different areas including algebra, geometry, topology, and mathematical physics. ....Categorical symmetries in representation theory. This project aims to develop categorical symmetries of central objects in mathematics such as braid groups, the Hilbert scheme of points, and the Virasoro algebra. The concept of symmetry is an important organising principle in science. Representation theory is the field of mathematics concerned with studying symmetries. The problems proposed have connections to many different areas including algebra, geometry, topology, and mathematical physics. This project expects to advance pure mathematics and provide potential benefit in many related fields.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL120100034
Funder
Australian Research Council
Funding Amount
$2,002,560.00
Summary
Black swans and unknown unknowns: financial markets and their interaction with the macroeconomy in the presence of unanticipated contingencies. Unforeseen contingencies, also called 'black swans' or 'unknown unknowns' pose serious difficulties for decisionmakers. This project will examine how financial regulation can be improved to reduce the vulnerability of the financial system and the macroeconomy to unforeseen shocks.
Rare Event Simulation with Heavy Tails. The project provides a rigorous way to enhance our understanding of the mechanisms that bring about catastrophic rare events such as urban flooding, electricity shortages and financial bankrupcy. Australia is at the forefront of exciting recent developments in rare event simulation. The advancement of the knowledge in this area will generate a competitive advantage for various sections of the Australian industry, including the areas of industrial reliabili ....Rare Event Simulation with Heavy Tails. The project provides a rigorous way to enhance our understanding of the mechanisms that bring about catastrophic rare events such as urban flooding, electricity shortages and financial bankrupcy. Australia is at the forefront of exciting recent developments in rare event simulation. The advancement of the knowledge in this area will generate a competitive advantage for various sections of the Australian industry, including the areas of industrial reliability, finance and insurance, were accurate simulation techniques are becoming increasingly important.Read moreRead less
Turbo-folk and the development of nationalist cultures in the age of globalisation. This project analyses musical style of turbo folk as a cultural form of reconciliation between ethnic groups of ex-Yugoslavia. It determines whether the cultural expression of turbo-folk can bridge ethnic rivalries through kitsch music and culture.
ROBUST SOLID OXIDE FUEL CELL TECHNOLOGY FOR SMALL-SCALE APPLICATIONS. The project aims to develop nano-materials for the next generation planar Solid Oxide Fuel Cell (SOFC) that will operate at temperatures between 600 and 800°C. The goal is to identify and demonstrate materials that meet the robust requirements for small scale power generators at the 3-5kW scale. It is expected that these will be used in stationary power generation applications, in remote area power supplies, and for providing ....ROBUST SOLID OXIDE FUEL CELL TECHNOLOGY FOR SMALL-SCALE APPLICATIONS. The project aims to develop nano-materials for the next generation planar Solid Oxide Fuel Cell (SOFC) that will operate at temperatures between 600 and 800°C. The goal is to identify and demonstrate materials that meet the robust requirements for small scale power generators at the 3-5kW scale. It is expected that these will be used in stationary power generation applications, in remote area power supplies, and for providing auxiliary power in vehicles. The work builds on the world-leading position that Ceramic Fuel Cells Ltd. has in planar SOFC technology, utilising micro-analysis and fuel cell expertise at the University of Queensland.Read moreRead less