Broadening Choice and Increasing Diversity in Public Schools. Currently, most families are limited to the public school in their catchment area, meaning the area in which they can afford to live. This leads to socio-economically and ethnically homogenous schools and entrenches disadvantage, as well as denying students the crucial life lessons that flow from being part of a diverse student body. This project aims to investigate a model for allocating public school places that integrates catchment ....Broadening Choice and Increasing Diversity in Public Schools. Currently, most families are limited to the public school in their catchment area, meaning the area in which they can afford to live. This leads to socio-economically and ethnically homogenous schools and entrenches disadvantage, as well as denying students the crucial life lessons that flow from being part of a diverse student body. This project aims to investigate a model for allocating public school places that integrates catchment areas. The expected outcome would be a system that gives families a wider choice, enabling them to enrol in out-of-area schools, while ensuring that allocations remain fair, equitable and balanced, and also delivering benefits such as achieving a desired level of diversity in student populations within schoolsRead moreRead less
Social Network Analysis: Social Media, Peer Effects and the Environment. The aims of this proposal are to better understand the role of networks in different activities such as social media, education, crime and environment-friendly behaviour. The project expects to help inform the design and practice of policies for education and environmental authorities, police and media markets. Social networks are pervasive in Australia. The project tackles issues of criminal gangs in Australian cities, the ....Social Network Analysis: Social Media, Peer Effects and the Environment. The aims of this proposal are to better understand the role of networks in different activities such as social media, education, crime and environment-friendly behaviour. The project expects to help inform the design and practice of policies for education and environmental authorities, police and media markets. Social networks are pervasive in Australia. The project tackles issues of criminal gangs in Australian cities, the political system and environment-friendly behaviours. This project is at the frontier of work in the economics of networks, with expected outcomes to include new models and methods to better understand the impact of social networks. Benefits include clear policy recommendations to improve welfare in Australian society.Read moreRead less
New methods in network economics to study environment-friendly behaviours. This project aims to develop two new methodologies for measuring how people interact with each other and how one’s peers affect their outcomes. The project expects to test these new ground-breaking models for investigating the effect of peers and networks on environmental issues, such as recycling behaviours. The anticipated outcomes of this project include new theoretical and empirical advancements for studying the econo ....New methods in network economics to study environment-friendly behaviours. This project aims to develop two new methodologies for measuring how people interact with each other and how one’s peers affect their outcomes. The project expects to test these new ground-breaking models for investigating the effect of peers and networks on environmental issues, such as recycling behaviours. The anticipated outcomes of this project include new theoretical and empirical advancements for studying the economics of networks and peers for better policy design. Benefits include clear policy recommendations to motivate environment-friendly behaviours. Read moreRead less
New constructions and techniques for tensor categories. The goal of this project is to make fundamental advances in the structure theory of tensor categories. Such categories play crucial roles in numerous fields of mathematics, physics and beyond. New methods, theory and examples will be developed, inspired by algebra, representation theory and geometry. These will then be applied in the foundational study of tensor categories for (dis)proving several of the most important open conjectures in t ....New constructions and techniques for tensor categories. The goal of this project is to make fundamental advances in the structure theory of tensor categories. Such categories play crucial roles in numerous fields of mathematics, physics and beyond. New methods, theory and examples will be developed, inspired by algebra, representation theory and geometry. These will then be applied in the foundational study of tensor categories for (dis)proving several of the most important open conjectures in the field. This will open new perspectives for applications in other areas, most notably in representation theory. Other benefits include enhanced international collaboration and scientific capacity in Australia.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE190101099
Funder
Australian Research Council
Funding Amount
$420,256.00
Summary
Representation theory: studies of symmetry shadows. This project aims to solve fundamental problems in representation theory by combining cutting-edge techniques and developing novel higher level structures. Representation theory is the mathematical study of symmetry, an essential concept in science. Since the 1990s, mathematicians have been observing shadows of a more general notion of symmetry but so far have failed to explain it. Expected outcomes include a structural explanation of these sh ....Representation theory: studies of symmetry shadows. This project aims to solve fundamental problems in representation theory by combining cutting-edge techniques and developing novel higher level structures. Representation theory is the mathematical study of symmetry, an essential concept in science. Since the 1990s, mathematicians have been observing shadows of a more general notion of symmetry but so far have failed to explain it. Expected outcomes include a structural explanation of these shadows, new mathematical software to understand them and solutions to important conjectures. This project will make a significant contribution to the field of representation theory, with ramifications in mathematical physics and computer science.Read moreRead less
The economics of (mis)information in the age of social media. New media technologies allow anyone to broadcast their views, leading to a “cacophony of voices” where misinformation flourishes. Tools from information economics are tailor-made for understanding information consumption in settings with many biased news sources. We develop economic models where many sources compete to attract and influence heterogenous listeners. We then study how misinformation spreads and amplifies when consumers ....The economics of (mis)information in the age of social media. New media technologies allow anyone to broadcast their views, leading to a “cacophony of voices” where misinformation flourishes. Tools from information economics are tailor-made for understanding information consumption in settings with many biased news sources. We develop economic models where many sources compete to attract and influence heterogenous listeners. We then study how misinformation spreads and amplifies when consumers of information communicate with many others through a social network. Finally, we study how to design simple and robust rules to foster informative discourse and filter misinformation. The results will shape economic policy recommendations for regulating misinformation in media platforms and social media.Read moreRead less
Rank-dependent choice equilibrium. This project aims to develop and test a new statistical theory of games, Rank-Dependent Choice Equilibrium (RDCE), which has the potential to unify and improve on existing approaches where the extreme reliance on perfect decision making and perfect foresight has raised doubts about their empirical relevance. The project intends to develop the theoretical foundations of RDCE, explore its relation with various parametric approaches, and evaluate RDCE via meta stu ....Rank-dependent choice equilibrium. This project aims to develop and test a new statistical theory of games, Rank-Dependent Choice Equilibrium (RDCE), which has the potential to unify and improve on existing approaches where the extreme reliance on perfect decision making and perfect foresight has raised doubts about their empirical relevance. The project intends to develop the theoretical foundations of RDCE, explore its relation with various parametric approaches, and evaluate RDCE via meta studies and stress tests. Expected outcomes of RDCE include a paradigm shift in game theory, resulting in broader acceptance and adoption of statistical game theory and to more robust policy recommendations.Read moreRead less
Designing Efficient and Equitable Voting Mechanisms. The most commonly used method for collective decision making, majority voting, is generally not efficient as it does not allow voters to express the intensity of their preferences. In addition, majority voting suffers from the tyranny of the majority, i.e. the risk of repeatedly excluding minority groups from representation. A final downside of majority voting is its winner-take-all nature, i.e. it provides no compensation for losing voters. T ....Designing Efficient and Equitable Voting Mechanisms. The most commonly used method for collective decision making, majority voting, is generally not efficient as it does not allow voters to express the intensity of their preferences. In addition, majority voting suffers from the tyranny of the majority, i.e. the risk of repeatedly excluding minority groups from representation. A final downside of majority voting is its winner-take-all nature, i.e. it provides no compensation for losing voters. This project concerns the design of alternative mechanisms that avoid these shortcomings and robustly deliver efficient and equitable outcomes. The project develops the theory underlying these novel mechanisms, tests them in a range of environments, and delivers an implementation for practical use.
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Topics in triangulated categories. This project in pure mathematics, more specifically in modern homological algebra, builds on work started by the chief investigator in the last five years. What has already been done has achieved striking results, solving very different problems that have been open for two decades. And there seem to be many directions in which it could be pursued further.
The international mathematical community seems intrigued by what the chief investigator has achieved recen ....Topics in triangulated categories. This project in pure mathematics, more specifically in modern homological algebra, builds on work started by the chief investigator in the last five years. What has already been done has achieved striking results, solving very different problems that have been open for two decades. And there seem to be many directions in which it could be pursued further.
The international mathematical community seems intrigued by what the chief investigator has achieved recently - judging by invitations to give prestigious talks and the feedback at these events. The expected outcome is major progress in our understanding of derived categories, as well as diverse applications. The benefit will be to enhance the international stature of Australian science.Read moreRead less
Productivity, growth and unemployment in economies with frictions. This project aims to examine decisions driving productivity, growth, and unemployment in macroeconomies with frictions. It examines how government (fiscal, monetary, and education) policies determine these decisions, and identifies the best configurations of these policies. It will construct dynamic general equilibrium models of economies to analyse the causal structure behind productivity changes, growth and unemployment. It wil ....Productivity, growth and unemployment in economies with frictions. This project aims to examine decisions driving productivity, growth, and unemployment in macroeconomies with frictions. It examines how government (fiscal, monetary, and education) policies determine these decisions, and identifies the best configurations of these policies. It will construct dynamic general equilibrium models of economies to analyse the causal structure behind productivity changes, growth and unemployment. It will conduct quantitative experiments using simulations, to estimate optimal government policy design settings. This project expects to identify policies that promote productivity, growth and employment.Read moreRead less