Young people with cognitive disability: relationships and paid support. This project aims to improve the rights and wellbeing of young people with cognitive disability by exploring their relationship and interaction with paid support workers. The introduction of national individualised funding and support is a watershed in Australian disability policy. Understanding the role that paid support plays in the ongoing identity development of these young people is urgently needed to realise national p ....Young people with cognitive disability: relationships and paid support. This project aims to improve the rights and wellbeing of young people with cognitive disability by exploring their relationship and interaction with paid support workers. The introduction of national individualised funding and support is a watershed in Australian disability policy. Understanding the role that paid support plays in the ongoing identity development of these young people is urgently needed to realise national policy aspirations for people with disability of rights, choice, inclusion and independence. Using social geography and recognition theory, the project expects to deliver new understanding and improved practice around how paid support relationships can foster mutual care, respect and value at a critically important time in young people’s lives.Read moreRead less
Social disadvantage and economic recession: promoting inclusion and combating deprivation. The onset of recession in the wake of the global financial crisis has reawakened concern over inequality and exclusion. This project will feed directly into the government's new social inclusion agenda by providing a better understanding of the nature of social exclusion, its relation to location-specific and other dimensions of disadvantage, and the processes that trigger and sustain exclusion. A speciall ....Social disadvantage and economic recession: promoting inclusion and combating deprivation. The onset of recession in the wake of the global financial crisis has reawakened concern over inequality and exclusion. This project will feed directly into the government's new social inclusion agenda by providing a better understanding of the nature of social exclusion, its relation to location-specific and other dimensions of disadvantage, and the processes that trigger and sustain exclusion. A specially designed survey will be coordinated with other data collection activity to provide timely new information that will assist government and non-government agencies to promote social inclusion and tackle the root causes of disadvantage.Read moreRead less
The transition from secondary school to adulthood: Experiences and life outcomes for youth with an intellectual disability and their families. This project seeks to explore the challenges faced and outcomes achieved by students with an intellectual disability as they move from secondary school into adult life. The study will investigate the factors at an individual, educational, family, and societal level which positively and adversely affect outcomes for young people with an intellectual disab ....The transition from secondary school to adulthood: Experiences and life outcomes for youth with an intellectual disability and their families. This project seeks to explore the challenges faced and outcomes achieved by students with an intellectual disability as they move from secondary school into adult life. The study will investigate the factors at an individual, educational, family, and societal level which positively and adversely affect outcomes for young people with an intellectual disability and their families. Family impacts can include significant loss of income as parents may have to cease employment to care for their young adult who has limited employment or day placement options. Gaining the knowledge to minimise the disruption to family life, which often occurs at this time of transition, will lead to strengthening Australia's social and economic fabric.Read moreRead less
Vulnerability and the news media: Investigating print media coverage of groups deemed to be vulnerable in Australian society, and the media's understanding of their status. The media plays a major role informing society about itself. Today, there are considerable divisions within society, sometimes based upon misunderstanding, sometimes ignorance. This project seeks to break down those divisions by helping to train journalists to report knowledgeably on vulnerable groups. By developing protocols ....Vulnerability and the news media: Investigating print media coverage of groups deemed to be vulnerable in Australian society, and the media's understanding of their status. The media plays a major role informing society about itself. Today, there are considerable divisions within society, sometimes based upon misunderstanding, sometimes ignorance. This project seeks to break down those divisions by helping to train journalists to report knowledgeably on vulnerable groups. By developing protocols which journalists can adopt when reporting on vulnerable groups, the project will add to greater understanding within society about the positive contributions these groups make to the development of Australia and even to international relations. Read moreRead less
Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges ....Novel geometric invariants. Quantum theory is the language of fundamental physics, it describes the small scale structure of matter and possibly space-time. Sophisticated models in condensed matter physics and string theory have exposed geometric and topological structure as basic building blocks of the theory. Issues thrown up by quantum theory are very similar to, and have provided techniques to solve, problems in the geometry of three and four dimensional manifolds. Exciting two way exchanges of methods, problems and solutions have emerged. This project aims to settle fundamental questions in the interaction between these two fields.Read moreRead less
Special Research Initiatives - Grant ID: SR0354466
Funder
Australian Research Council
Funding Amount
$20,000.00
Summary
Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgradu ....Mathematics in Contemporary Science. The Mathematics in Contemporary Science Research Network brings contemporary methods of non-linear analysis and differential equations, geometric reasoning and relevant algebraic and topological ideas to enrich six application areas in modern science: Complex Systems, Computer Vision, Optimal Transportation, Nanotechnology, Physics and Shortest Networks. MiCS will develop both the mathematics and the application areas in parallel. It will focus on postgraduate training through workshops, summer schools and web based resources and build long-term international collaborations with EU networks and NSERC, NSF and EPSRC institutes as well as bringing together academic and industry leaders.Read moreRead less
New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will ....New approaches to index theory. The laws of nature are often expressed by differential equations, involving their rates of change. If 'elliptic,' they have an 'index,' which is the number of solutions minus the number of constraints imposed. The Atiyah-Singer index theorem gives a striking calculation of this "index'. An extension is Fractional Index Theory, which has received international attention, having solved a fundamental open problem. A central aim is to investigate this further. I will assist beginners to navigate to the cutting edge of research through workshops, spring-schools and supervision. Benefits include the enhancement of Australia's position in the forefront of international research.Read moreRead less
Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expe ....Operator Integrals and Derivatives. The project is a contribution to the study of non-commutative differential and integral calculus. The novelty of the present project lies in the study of smoothness properties of functions whose domains and ranges are spaces of unbounded, non-commuting operators on some Hilbert space. Our general approach will be based on a detailed investigation of properties of double operator integrals, which permit smoothness estimates of operator-functions. It can be expected that the new techniques generated will find further application in areas of mathematical physics and non-commutative geometry related to quantized calculus.
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Non-commutative analysis and differential calculus. This project is in an area of central mathematical importance and will lead to important scientific advances that will keep Australia at the forefront internationally in this field of research. There is an emphasis on international networking and we will collaborate with leading researchers in USA and France.