Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This proj ....Hypergraph models for complex discrete systems. This project aims to better understand the structure and properties of very large hypergraphs of various kinds. Hypergraphs are very general mathematical objects which can be used to model complex discrete systems. They arise naturally in many areas such as ecology, chemistry and computer science. Despite this, our theoretical understanding of very large, or random, hypergraphs lags far behind the intensely-studied special case of graphs. This project will answer many fundamental questions about large, random hypergraphs. The expected outcomes of the project also include new tools for working with hypergraphs, such as efficient algorithms for sampling hypergraphs. These outcomes will benefit researchers who use hypergraphs in their work and will enhance Australia's reputation for research in this area.Read moreRead less
New universality in stochastic systems. This project aims to uncover new analyses and effects in the complex behaviour of non-linear systems with random noise. Many systems originate near an unstable equilibrium. This project will develop a new mathematical theory that establishes a universality in the way the long term effect of noise expresses itself as random initial conditions in the dynamics. It will fill gaps in Mathematics and make refinements to existing fundamental scientific laws by in ....New universality in stochastic systems. This project aims to uncover new analyses and effects in the complex behaviour of non-linear systems with random noise. Many systems originate near an unstable equilibrium. This project will develop a new mathematical theory that establishes a universality in the way the long term effect of noise expresses itself as random initial conditions in the dynamics. It will fill gaps in Mathematics and make refinements to existing fundamental scientific laws by including random initial conditions as predicted by our theory. This will advance our understanding of complex systems subjected to noise and will provide significant benefits in the scientific discoveries in Biology, Ecology, Physics and other Sciences where such systems are frequently met.Read moreRead less
Random network models with applications in biology. Complex biological systems consist of a large number of interacting agents or components, and so can be studied using mathematical random network models. We aim to gain deeper insights into the laws emerging as the random networks evolve in time. This can help us to deal with dangerous disease epidemics and better understand the human brain.
Regimes of reading. The project analyses the ways in which reading and interpretation have been socially organised across a range of cultures, from ancient Rome to the contemporary world of virtual reality. It focuses in particular on conflict between different practices of reading in order to highlight the cultural assumptions underlying the uses of texts.
Banking System Competition and the Macro-economy. Australia has one of the most concentrated banking sectors in the world, generating concerns regarding its efficiency. This project aims to develop unified frameworks to understand and evaluate quantitatively how the structure of the banking industry affects the macro-economy and provide policy recommendations for establishing a healthy and efficient banking industry. This project expects to improve understanding of the welfare trade-off between ....Banking System Competition and the Macro-economy. Australia has one of the most concentrated banking sectors in the world, generating concerns regarding its efficiency. This project aims to develop unified frameworks to understand and evaluate quantitatively how the structure of the banking industry affects the macro-economy and provide policy recommendations for establishing a healthy and efficient banking industry. This project expects to improve understanding of the welfare trade-off between bank competition and economic well-being to enable policymakers to better determine the optimal concentration of banking sector in Australia. This will enhance the productivity and international competitiveness of Australia’s financial system and the broader economy.Read moreRead less
A Synthesis of Agency and Managerial Power Theories and Its Applications to Corporate Governance, Management Compensation, and Firm Performance. The existing models of corporate governance in economics and finance based on agency theory do not successfully portray all modern corporations. Thus the importance of a new and rigorous way to study corporate governance can be hardly exaggerated. This project will provide a synthesized theory of corporate governance and is expected to produce highest- ....A Synthesis of Agency and Managerial Power Theories and Its Applications to Corporate Governance, Management Compensation, and Firm Performance. The existing models of corporate governance in economics and finance based on agency theory do not successfully portray all modern corporations. Thus the importance of a new and rigorous way to study corporate governance can be hardly exaggerated. This project will provide a synthesized theory of corporate governance and is expected to produce highest-quality research publishable in top-tier journals. This will, among others, enhance Australia's standing as a knowledge nation. This project is also expected to contribute to the discussions on how to improve corporate governance and regulation of management compensation both in Australia and abroad. Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE150101415
Funder
Australian Research Council
Funding Amount
$360,000.00
Summary
Higher Representation Theory. Representation theory is a field of mathematics with applications across the breadth of mathematical study in fields as diverse as number theory and physics. The study of higher (or categorical) representation theory is a modern set of tools that provides new insights into representation theoretic phenomena. This project aims to study categorified quantum groups and, in particular, the categorifications provided by diagrammatic algebras. The project aims to further ....Higher Representation Theory. Representation theory is a field of mathematics with applications across the breadth of mathematical study in fields as diverse as number theory and physics. The study of higher (or categorical) representation theory is a modern set of tools that provides new insights into representation theoretic phenomena. This project aims to study categorified quantum groups and, in particular, the categorifications provided by diagrammatic algebras. The project aims to further develop the theory of Khovanov-Lauda-Rouquier (KLR) algebras, providing important foundational results for future research to build upon.Read moreRead less
A new theory of Aboriginal art. The paradigms developed by scholars have a huge impact on the value of art. After the Australian artworld repositioned Aboriginal art from the frame of 'primitive art' to that of contemporary art, the price of and market for Aboriginal art increased enormously. However, Aboriginal art failed to penetrate the international contemporary artworld because the paradigms of contemporary art within which it was framed were outmoded. Through examining the production of Ab ....A new theory of Aboriginal art. The paradigms developed by scholars have a huge impact on the value of art. After the Australian artworld repositioned Aboriginal art from the frame of 'primitive art' to that of contemporary art, the price of and market for Aboriginal art increased enormously. However, Aboriginal art failed to penetrate the international contemporary artworld because the paradigms of contemporary art within which it was framed were outmoded. Through examining the production of Aboriginal art from the perspectives of its producers and recent globalised contemporary art practices, this project aims to develop a new theory of Aboriginal art that is more aligned with the thinking of current curators who set the agenda at the upper end of the market.Read moreRead less
Decentralised assets trading, centralised clearing and systemic risk. This project aims to study the effect of regulating over-the-counter (OTC) financial markets on economic performance. The lack of transparency of OTC financial markets may have exacerbated the severity of the 2007-09 financial crisis. In response, regulators around the world decided to mandate centralised clearing of derivatives traded OTC, believing this would reduce system-wide risk. This project will study the regulatory ch ....Decentralised assets trading, centralised clearing and systemic risk. This project aims to study the effect of regulating over-the-counter (OTC) financial markets on economic performance. The lack of transparency of OTC financial markets may have exacerbated the severity of the 2007-09 financial crisis. In response, regulators around the world decided to mandate centralised clearing of derivatives traded OTC, believing this would reduce system-wide risk. This project will study the regulatory change’s effects on market participation, volumes of trade and prices, and the behavioural effect of shifting risk from market participants to clearinghouses. It expects to suggest remedial policies clearinghouses could implement to control market participants’ risk appetite. These can help enhance future productivity and reduce unemployment in Australia.Read moreRead less
Gravity and quantum-limited measurements with a fundamental minimum length. This project aims to investigate the effects of a fundamental minimum length on the nature of gravity and on how accurately we can make measurements in our world. The key challenge is to combine our best theories of fundamental physics to model what happens at ultra-short distances. This project will generate new knowledge at this interface by using a novel approach inspired by information theory. The expected outcomes a ....Gravity and quantum-limited measurements with a fundamental minimum length. This project aims to investigate the effects of a fundamental minimum length on the nature of gravity and on how accurately we can make measurements in our world. The key challenge is to combine our best theories of fundamental physics to model what happens at ultra-short distances. This project will generate new knowledge at this interface by using a novel approach inspired by information theory. The expected outcomes are new connections between fundamental limitations on measurements, the nature of gravitation, and ultra-small-scale quantum physics. The benefit of this work is breaking the logjam in answering the most important open question in all of physics: how to unite quantum theory and gravitation.Read moreRead less