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
Discovery Early Career Researcher Award - Grant ID: DE150100035
Funder
Australian Research Council
Funding Amount
$376,000.00
Summary
Affirmative action & its unintended effects: an experimental investigation. Affirmative action policies traditionally favour members of disadvantaged groups in labour markets such as women, elderly, and non-white. They are widely implemented internationally in employment, contracting, and education often despite a lack of knowledge about societal impacts. This project aims to use both field and laboratory experiments to study how individuals react to affirmative action and investigate sabotage, ....Affirmative action & its unintended effects: an experimental investigation. Affirmative action policies traditionally favour members of disadvantaged groups in labour markets such as women, elderly, and non-white. They are widely implemented internationally in employment, contracting, and education often despite a lack of knowledge about societal impacts. This project aims to use both field and laboratory experiments to study how individuals react to affirmative action and investigate sabotage, cooperation, and competition between disadvantaged and advantaged groups. The main hypothesis is that affirmative action can increase sabotage, harm cooperation and push competition in ways that endanger the well functioning of labour markets. This project aims to provide new insights for policy makers and managers on the relevance of unintended effects of affirmative action.Read moreRead less
Discrimination in Policing: Evidences from Natural Experiments. Ensuring that institutions are discrimination-free is key for the harmony of a society and the strength of a nation’s social contract. This research aims to investigate whether Australian law enforcement discriminates against certain groups and to explore the mechanisms explaining how it decides with whom to strictly enforce the law and
with whom to be lenient. This research program focuses on speeding fines as they offer unique nat ....Discrimination in Policing: Evidences from Natural Experiments. Ensuring that institutions are discrimination-free is key for the harmony of a society and the strength of a nation’s social contract. This research aims to investigate whether Australian law enforcement discriminates against certain groups and to explore the mechanisms explaining how it decides with whom to strictly enforce the law and
with whom to be lenient. This research program focuses on speeding fines as they offer unique natural experiments allowing rigorous exploration of these issues. The expected outcome is a better understanding of discrimination in Australia and the factors explaining it, which should contribute to better policy design and lead to more equitable treatment for all Australians.Read moreRead less
Towards the prime power conjecture. This project attacks a famous and long standing conjecture in pure mathematics that has important ramifications in many applied areas. The project aims to determine when it is possible to produce more efficient codes for electronic communication and statistically balanced designs for experiments in areas as diverse as agriculture and psychology.
Government, Institutions and Economic Activity: A Long Term Analysis. Using national and regional data for 30 to 50 countries over multiple centuries, this project will examine the effects of itemised government expenditure and revenue on productivity, investment, saving, labour force participation and research and development. The results are expected to shed light on the macroeconomic effects of different revenue and spending categories (education, transfers, and so on). In addition, the proje ....Government, Institutions and Economic Activity: A Long Term Analysis. Using national and regional data for 30 to 50 countries over multiple centuries, this project will examine the effects of itemised government expenditure and revenue on productivity, investment, saving, labour force participation and research and development. The results are expected to shed light on the macroeconomic effects of different revenue and spending categories (education, transfers, and so on). In addition, the project aims to determine which factors have been responsible for the increase of government size over the past two centuries. The results aim to further reveal which government revenue and expenditure items are most conducive to economic welfare and growth.Read moreRead less
Australian Laureate Fellowships - Grant ID: FL120100125
Funder
Australian Research Council
Funding Amount
$1,796,966.00
Summary
Advances in the analysis of random structures and their applications. This project will provide new approaches, insights and results for probabilistic combinatorics. This area has contributed in exciting ways elsewhere in mathematics and provides versatile tools of widespread use in algorithmic computer science, with other applications in physics, coding theory for communications, and genetics.
A new approach to compressed sensing. Compressed sensing is an exciting new paradigm promising vastly improved signal sampling and reconstruction in a wide variety of applications including digital cameras, mobile phones and MRI machines. This project will explore a newly discovered approach to compressed sensing which uses mathematical arrays known as hash families.
Expander graphs, isoperimetric numbers, and forwarding indices. Expanders are sparse but well connected networks. With numerous applications to modern technology, they have attracted many world leaders in mathematics and computer science. This project aims at substantial advancement on some important problems on expanders and related areas. It will put Australia at the forefront of this topical field.
Analysis of the structure of latin squares. The benefits to Australia of fundamental research in core disciplines such as mathematics are well documented. Discrete mathematics and combinatorics are boom disciplines of the computer age and this project seeks new knowledge concerning basic building blocks of combinatorial mathematics. The outcomes will be of interest to theoretical discrete mathematicians around the world, enhancing Australia's already high research profile in this important area ....Analysis of the structure of latin squares. The benefits to Australia of fundamental research in core disciplines such as mathematics are well documented. Discrete mathematics and combinatorics are boom disciplines of the computer age and this project seeks new knowledge concerning basic building blocks of combinatorial mathematics. The outcomes will be of interest to theoretical discrete mathematicians around the world, enhancing Australia's already high research profile in this important area of pure mathematical research. Importantly, the problems under investigation offer substantial opportunity for excellent postgraduate training, critical for the future of Australian research. Read moreRead less
Applying satellite luminosity data to analyse the redistributive aspects of corruption and rent-seeking. This project applies satellite luminosity data as a proxy for regional economic activity to analyse the redistributive effects of political rent-seeking, corruption and the shadow economy. This project will identify the beneficiaries of rent-seeking, the sources of these rents and political institutions that reduce rent-seeking activities.