Nanotribology and Nanorheometry: A Fundamental Study of the Dynamic Interactions of Particles and Surfaces at the Molecular Level. Friction and deformation occur from the mutual motion and interaction of microscopic particles and surfaces. This research aims to develop new theories and measurement techniques for these non-equilibrium phenomena by combining mathematical analysis and numerical computations with dynamic force measurement, surface modification, and surface characterisation on nanom ....Nanotribology and Nanorheometry: A Fundamental Study of the Dynamic Interactions of Particles and Surfaces at the Molecular Level. Friction and deformation occur from the mutual motion and interaction of microscopic particles and surfaces. This research aims to develop new theories and measurement techniques for these non-equilibrium phenomena by combining mathematical analysis and numerical computations with dynamic force measurement, surface modification, and surface characterisation on nanometre and molecular length scales. These insights and data will be critically important in designing low-friction surfaces that save energy and wear, in developing nanoscopic probes for the mechanical and structural properties of soft polymeric and bio-materials, and in making high performance coatings that control adhesion and particle aggregation in technologically advanced applications.Read moreRead less
Distributional Consequences of Mass-Market Higher Education in Business. Increased access to tertiary education has not been evaluated for its effects on the full spectrum of individuals served by the tertiary sector. Using longitudinal data on entire student populations at university business faculties, this project will provide the first Australian evidence on the trade-offs amongst the educational success of students with different levels of preparation that occur when those with poorer prep ....Distributional Consequences of Mass-Market Higher Education in Business. Increased access to tertiary education has not been evaluated for its effects on the full spectrum of individuals served by the tertiary sector. Using longitudinal data on entire student populations at university business faculties, this project will provide the first Australian evidence on the trade-offs amongst the educational success of students with different levels of preparation that occur when those with poorer preparation are added to classrooms. Short-term performance and medium-term attrition, a recent educational policy focus, will be evaluated. Theoretically grounded recommendations will result for undergraduate program design to suit a student population with varying levels of university preparation.Read moreRead less
Understanding and working with anger in male Indigenous people in prison settings. Anger has links to many important outcomes in the prison environment, including violent behaviour, institutional conflict and self-harm. The nature and consequences of anger have rarely been investigated for imprisoned offenders and little is known about anger in male Indigenous Australians in prison, despite evidence that anger levels in this group are particularly high. This research will explore constitutive, ....Understanding and working with anger in male Indigenous people in prison settings. Anger has links to many important outcomes in the prison environment, including violent behaviour, institutional conflict and self-harm. The nature and consequences of anger have rarely been investigated for imprisoned offenders and little is known about anger in male Indigenous Australians in prison, despite evidence that anger levels in this group are particularly high. This research will explore constitutive, regulatory, procedural and other aspects of anger with male Indigenous prisoners, using both qualitative and quantitative methodologies, leading to the development of an intervention that will improve both the wellbeing and adjustment of Indigenous men in prison and rehabilitation outcomes.Read moreRead less
J. M. Coetzee and Making Sense in LIterature. Focusing on the work of Nobel Prize winning South African-Australian novelist J. M. Coetzee, this project examines how Coetzee’s fiction develops techniques that generate or produce meaning about the world and involves levels of ‘translatability’ that allow it to maintain relevance across cultures. A detailed analysis that focuses on how Coetzee makes us question the nature of meaning itself has not yet been undertaken, even though this is of central ....J. M. Coetzee and Making Sense in LIterature. Focusing on the work of Nobel Prize winning South African-Australian novelist J. M. Coetzee, this project examines how Coetzee’s fiction develops techniques that generate or produce meaning about the world and involves levels of ‘translatability’ that allow it to maintain relevance across cultures. A detailed analysis that focuses on how Coetzee makes us question the nature of meaning itself has not yet been undertaken, even though this is of central importance to his work.Read moreRead less
Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitt ....Ethics, responsibility and the carbon budget. This project aims to provide a rigorous ethical framework for dividing the world’s remaining ‘carbon budget’ (CB). In order to avoid climate change the world must drastically limit its emissions of greenhouse gases. The project will develop a new analysis of how our assumptions concerning risk and harm shape conception of the CB. It will also provide a new understanding of how future emission rights should be allocated given that countries have emitted vastly different quantities of greenhouse gases in the past. The project will analyse how the CB will impact the climate transition plans of countries such as Australia. The project will thus bring significant new research in philosophy to bear on a practical issue.Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.
Construction of near optimal oscillatory regimes in singularly perturbed control systems via solutions of Hamilton-Jacobi-Bellman inequalities. Problems of optimal control of systems evolving in multiple time scales arise in a great variety of applications (from diet to environmental modelling). This project addresses the challenge of analytically and numerically constructing rapidly oscillating controls that would 'near optimally coordinate' the slow and fast dynamics.
Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the ....Perturbations in Complex Systems and Games. This project aims to: advance the perturbation theory of dynamic and stochastic games; further develop approximations of infinite dimensional linear programs by their finite dimensional counterparts, and by finding asymptotic limits of spaces of occupational measures, by solution of successive layers of fundamental equations; explain and quantify the "exceptionality" of instances of systems that are genuinely difficult to solve; and, capitalise on the outstanding performance of our Snakes-and-Ladders Heuristic (SLH) for the solution of the Hamiltonian cycle problem to identify its "fixed complexity orbits" and generalise this notion to other NP-complete problems.Read moreRead less
Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and ....Two-price quantitative finance. This project aims to establish a novel field, namely two-price quantitative finance, and explore its applications. The new field will integrate two major schools for modelling and explain the presence of two prices, the buying and selling prices, widely observed in the real-world markets, and the equilibrium approach from the fundamental law of one price. The outcomes would deepen our understanding of the fundamental relationship among liquidity, prices, risk and the economy. This project expects to bring about long-term impact on quantitative finance and related applications through providing a deep understanding of, and a new perspective for, the design, risk and fairness of the finance, property and insurance markets.Read moreRead less
G-expectation and its applications to nonlinear risk management. This project will develop novel theories and methods for nonlinear risk management based on nonlinear expectations and Backward Stochastic Differential Equations. The expected outcomes of the project will place Australia in the forefront and the leading position of these fields.