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Summary of Discovery Projects Applications for Funding to Commence in 2006

230000 MATHEMATICAL SCIENCES 45

240000 PHYSICAL SCIENCES 63

250000 CHEMICAL SCIENCES 66

260000 EARTH SCIENCES 49

270000 BIOLOGICAL SCIENCES 132

280000 INFORMATION, COMPUTING AND COMMUNICATION SCIENCES 56

290000 ENGINEERING AND TECHNOLOGY 128

300000 AGRICULTURAL, VETERINARY AND ENVIRONMENTAL SCIENCES 23

310000 ARCHITECTURE, URBAN ENVIRONMENT AND BUILDING 3

320000 MEDICAL AND HEALTH SCIENCES 29

330000 EDUCATION 20

340000 ECONOMICS 31

350000 COMMERCE, MANAGEMENT, TOURISM AND SERVICES 19

360000 POLICY AND POLITICAL SCIENCE 19

370000 STUDIES IN HUMAN SOCIETY 42

380000 BEHAVIOURAL AND COGNITIVE SCIENCES 56

390000 LAW, JUSTICE AND LAW ENFORCEMENT 26

400000 JOURNALISM, LIBRARIANSHIP AND CURATORIAL STUDIES 4

410000 THE ARTS 12

420000 LANGUAGE AND CULTURE 26

430000 HISTORY AND ARCHAEOLOGY 44

440000 PHILOSOPHY AND RELIGION 24

Total Number of Grants 917

230000 MATHEMATICAL SCIENCES

2301 MATHEMATICS 36

2302 STATISTICS 7

2399 OTHER MATHEMATICAL SCIENCES 2

230000 MATHEMATICAL SCIENCES 45

240000 PHYSICAL SCIENCES

2401 ASTRONOMICAL SCIENCES 11

2402 THEORETICAL AND CONDENSED MATTER PHYSICS 16

2403 ATOMIC AND MOLECULAR PHYSICS; NUCLEAR AND PARTICLE PHYSICS; PLASMA 13

PHYSICS

2404 OPTICAL PHYSICS 15

2405 CLASSICAL PHYSICS 3

2499 OTHER PHYSICAL SCIENCES 5

240000 PHYSICAL SCIENCES 63

250000 CHEMICAL SCIENCES

2501 PHYSICAL CHEMISTRY (INCL. STRUCTURAL) 18

2502 INORGANIC CHEMISTRY 12

2503 ORGANIC CHEMISTRY 17

2504 ANALYTICAL CHEMISTRY 5

2505 MACROMOLECULAR CHEMISTRY 4

2506 THEORETICAL AND COMPUTATIONAL CHEMISTRY 8

2599 OTHER CHEMICAL SCIENCES 2

250000 CHEMICAL SCIENCES 66

260000 EARTH SCIENCES

2601 GEOLOGY 20

2602 GEOPHYSICS 5

2603 GEOCHEMISTRY 7

2604 OCEANOGRAPHY 5

2605 HYDROLOGY 1

2606 ATMOSPHERIC SCIENCES 11

260000 EARTH SCIENCES 49

270000 BIOLOGICAL SCIENCES

2701 BIOCHEMISTRY AND CELL BIOLOGY 39

2702 GENETICS 20

2703 MICROBIOLOGY 7

2704 BOTANY 14

2705 ZOOLOGY 5

2706 PHYSIOLOGY 9

2707 ECOLOGY AND EVOLUTION 35

2708 BIOTECHNOLOGY 2

2799 OTHER BIOLOGICAL SCIENCES 1

270000 BIOLOGICAL SCIENCES 132

280000 INFORMATION, COMPUTING AND COMMUNICATION SCIENCES

2801 INFORMATION SYSTEMS 23

2802 ARTIFICIAL INTELLIGENCE AND SIGNAL AND IMAGE PROCESSING 16

2803 COMPUTER SOFTWARE 5

2804 COMPUTATION THEORY AND MATHEMATICS 4

2805 DATA FORMAT 8

280000 INFORMATION, COMPUTING AND COMMUNICATION SCIENCES 56

290000 ENGINEERING AND TECHNOLOGY

2902 AEROSPACE ENGINEERING 4

2903 MANUFACTURING ENGINEERING 4

2904 AUTOMOTIVE ENGINEERING 1

2905 MECHANICAL AND INDUSTRIAL ENGINEERING 2

2906 CHEMICAL ENGINEERING 5

2907 RESOURCES ENGINEERING 3

2908 CIVIL ENGINEERING 11

2909 ELECTRICAL AND ELECTRONIC ENGINEERING 12

2910 GEOMATIC ENGINEERING 5

2911 ENVIRONMENTAL ENGINEERING 6

2913 METALLURGY 2

2914 MATERIALS ENGINEERING 16

2915 BIOMEDICAL ENGINEERING 13

2917 COMMUNICATIONS TECHNOLOGIES 17

2918 INTERDISCIPLINARY ENGINEERING 20

2999 OTHER ENGINEERING AND TECHNOLOGY 7

290000 ENGINEERING AND TECHNOLOGY 128

300000 AGRICULTURAL, VETERINARY AND ENVIRONMENTAL SCIENCES

3001 SOIL AND WATER SCIENCES 2

3002 CROP AND PASTURE PRODUCTION 6

3005 VETERINARY SCIENCES 4

3006 FORESTRY SCIENCES 2

3008 ENVIRONMENTAL SCIENCES 8

3009 LAND, PARKS AND AGRICULTURE MANAGEMENT 1

300000 AGRICULTURAL, VETERINARY AND ENVIRONMENTAL SCIENCES 23

310000 ARCHITECTURE, URBAN ENVIRONMENT AND BUILDING

3101 ARCHITECTURE AND URBAN ENVIRONMENT 2

3102 BUILDING 1

310000 ARCHITECTURE, URBAN ENVIRONMENT AND BUILDING 3

320000 MEDICAL AND HEALTH SCIENCES

3203 MEDICAL BIOCHEMISTRY AND CLINICAL CHEMISTRY 1

3204 MEDICAL MICROBIOLOGY 1

3205 PHARMACOLOGY AND PHARMACEUTICAL SCIENCES 2

3206 MEDICAL PHYSIOLOGY 2

3207 NEUROSCIENCES 6

3209 OPTOMETRY 1

3210 CLINICAL SCIENCES 5

3212 PUBLIC HEALTH AND HEALTH SERVICES 8

3214 HUMAN MOVEMENT AND SPORTS SCIENCE 2

3299 OTHER MEDICAL AND HEALTH SCIENCES 1

320000 MEDICAL AND HEALTH SCIENCES 29

330000 EDUCATION

3301 EDUCATION STUDIES 13

3302 CURRICULUM STUDIES 3

3303 PROFESSIONAL DEVELOPMENT OF TEACHERS 2

3399 OTHER EDUCATION 2

330000 EDUCATION 20

340000 ECONOMICS

3401 ECONOMIC THEORY 3

3402 APPLIED ECONOMICS 17

3403 ECONOMIC HISTORY AND HISTORY OF ECONOMIC THOUGHT 1

3404 ECONOMETRICS 7

3499 OTHER ECONOMICS 3

340000 ECONOMICS 31

350000 COMMERCE, MANAGEMENT, TOURISM AND SERVICES

3501 ACCOUNTING, AUDITING AND ACCOUNTABILITY 5

3502 BUSINESS AND MANAGEMENT 8

3503 BANKING, FINANCE AND INVESTMENT 6

350000 COMMERCE, MANAGEMENT, TOURISM AND SERVICES 19

360000 POLICY AND POLITICAL SCIENCE

3601 POLITICAL SCIENCE 18

3602 POLICY AND ADMINISTRATION 1

360000 POLICY AND POLITICAL SCIENCE 19

370000 STUDIES IN HUMAN SOCIETY

3701 SOCIOLOGY 12

3702 SOCIAL WORK 1

3703 ANTHROPOLOGY 12

3704 HUMAN GEOGRAPHY 3

3705 DEMOGRAPHY 5

3706 HISTORY AND PHILOSOPHY OF SCIENCE AND MEDICINE 5

3799 OTHER STUDIES IN HUMAN SOCIETY 4

370000 STUDIES IN HUMAN SOCIETY 42

380000 BEHAVIOURAL AND COGNITIVE SCIENCES

3801 PSYCHOLOGY 46

3802 LINGUISTICS 8

3803 COGNITIVE SCIENCE 2

380000 BEHAVIOURAL AND COGNITIVE SCIENCES 56

390000 LAW, JUSTICE AND LAW ENFORCEMENT

3901 LAW 17

3903 JUSTICE AND LEGAL STUDIES 8

3999 OTHER LAW, JUSTICE AND LAW ENFORCEMENT 1

390000 LAW, JUSTICE AND LAW ENFORCEMENT 26

400000 JOURNALISM, LIBRARIANSHIP AND CURATORIAL STUDIES

4001 JOURNALISM, COMMUNICATION AND MEDIA 4

400000 JOURNALISM, LIBRARIANSHIP AND CURATORIAL STUDIES 4

410000 THE ARTS

4101 PERFORMING ARTS 8

4103 CINEMA, ELECTRONIC ARTS AND MULTIMEDIA 1

4104 DESIGN STUDIES 2

4199 OTHER ARTS 1

410000 THE ARTS 12

420000 LANGUAGE AND CULTURE

4202 LITERATURE STUDIES 9

4203 CULTURAL STUDIES 17

420000 LANGUAGE AND CULTURE 26

430000 HISTORY AND ARCHAEOLOGY

4301 HISTORICAL STUDIES 37

4302 ARCHAEOLOGY AND PREHISTORY 7

430000 HISTORY AND ARCHAEOLOGY 44

440000 PHILOSOPHY AND RELIGION

4401 PHILOSOPHY 19

4402 RELIGION AND RELIGIOUS TRADITIONS 5

440000 PHILOSOPHY AND RELIGION 24

Total Number of Grants 917

2301 MATHEMATICS

Charles Darwin University

DP0662946 Dr IM Wanless; Dr DE Bryant

Approved Analysis of the structure of latin squares

Project Title

2006 : $86,000

2007 : $76,000

2008 : $76,000

2009 : $56,000

2010 : $56,000

QEII Dr IM Wanless

Administering Institution Charles Darwin University

Project Summary

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.

Curtin University of Technology

DP0665946 Prof L Caccetta; Dr G Zhou

Approved Robust methods for hard optimization problems

Project Title

2006 : $136,000

2007 : $124,000

2008 : $124,000

2009 : $110,880

2010 : $110,880

QEII Dr G Zhou

Administering Institution Curtin University of Technology

Project Summary

Highly advanced industrial and information based societies depend on complex systems that underpin their infrastructure and technologies. Mathematical modelling and optimization techniques are most frequently deployed for the development and refinement of these systems. This project focuses on an important class of difficult optimization problems that arise in many applications. A significant benefit of this project is the development of a number of robust methods for these hard optimization problems. These methods will be built upon advances in the fundamental theory developed by the research team. The resulting high quality publications and associated algorithms will greatly enhance Australia's international scientific reputation.

DP0665948 Prof KL Teo; Dr V Rehbock

Approved A Study of Stabilisation and Optimal Control Computation of Impulsive Control Systems

Project Title

2006 : $110,000

2007 : $92,000

2008 : $99,000

Administering Institution Curtin University of Technology

Project Summary

Impulsive systems exhibit the phenomenon of jumps occurring at various time points along their trajectories. They arise from many applications, such as determining appropriate levels of drug administration in cancer and diabetes treatment, optimizing investment strategies in capacity expansion, and sustainable optimal forest management. This project will result in fundamental theory on stability and efficient computational algorithms and software packages for stabilizing controls and optimal controls of impulsive control problems. The outcomes will enhance Australia's reputation for leading edge research and facilitate opportunity for international collaboration. It will also provide an excellent opportunity for research training.

Macquarie University

DP0663431 A/Prof X Duong

Approved A new approach in Harmonic Analysis: Function spaces associated with operators and their

Project Title applications

2006 : $92,000

2007 : $82,000

2008 : $84,000

Administering Institution Macquarie University

Project Summary

Harmonic analysis is an important part of modern mathematics which has extensive applications in the theory of partial differential equations. The type of mathematics in this project is closely related to theoretical work of applied technology such as signal processing and medical research. Australia is known as a world leader of harmonic analysis and this project ensures that we can keep the leading edge in research in this field.

DP0663514 Prof RH Street

Approved Categorical structures in string theory

Project Title

2006 : $95,000

2007 : $82,000

2008 : $84,000

Administering Institution Macquarie University

Project Summary

The proposal is a contribution to the mathematics of fundamental laws of nature. Developments in string theory are unfolding internationally from top physicists and mathematicians. Basic research by our expert group of category theorists will reach out into the Australian community to varying degrees through our own teaching, vacation scholars, media interviews, and links with our academic colleagues in other disciplines. Such basic research underpins the capacity of the private sector by providing skilled graduates and enhancing the capabilities of the economy. Australia must maintain expertise in basic science and technology to be ready for uncertain future demands.

RMIT University

DP0664423 A/Prof AC Eberhard; Dr S Schreider; Prof J Crouzeix; Dr D Ralph

Approved Construction of utility functions from observations of consumer behaviour with application to

Project Title resource modelling and water management strategies.

2006 : $40,000

2007 : $25,000

2008 : $25,000

Administering Institution RMIT University

Project Summary

The optimisation techniques developed will be on the forefront of applied mathematical sciences and will increase the prestige of the Australian mathematical community. The expected results will also be of value because they can be used to improve the CGE modelling technique. The implementation of the CGE model of one of Victoria's agricultural regions will be used to improve the accuracy of regional economic models and will contribute to efficient regional resource management. This has the potential to positively affect the economic growth and employment in the region. The expected outcomes of the project are especially important taking into account the need for predicting the socio economic consequences of the 1994 COAG water reforms.

The Australian National University

DP0664427 Prof BD Anderson; Dr A Lanzon

Approved Development of robust adaptive and nonlinear control methodologies

Project Title

2006 : $133,000

2007 : $98,000

2008 : $105,000

Administering Institution The Australian National University

Project Summary

Techniques will be developed that will allow industrial plants to operate with lower direct or environmental cost, and airborne vehicles to operate more efficiently or more safely.

DP0663773 Prof MT Batchelor; Prof VV Bazhanov; Prof MD Gould; Dr JR Links

Approved The mathematical analysis of ultracold quantum gases

Project Title

2006 : $181,000

2007 : $158,000

2008 : $162,000

Administering Institution The Australian National University

Project Summary

Ongoing developments in the experimental realisation of ultracold quantum gases play a leading role in the international effort towards the eventual realisation of quantum technology. This project brings together Australian researchers with complementary strengths to develop a sophisticated range of innovative mathematical tools for understanding these fundamental quantum systems. The expected outcomes will thus include potentially far reaching impacts on downstream quantum technology. The project will contribute to training mathematically talented students and thus take essential steps to establish the long term future of mathematical physics in Australia. It will also establish enduring key international research links.

DP0664517 Prof NS Trudinger; Dr X Wang

Approved Nonlinear elliptic equations and applications

Project Title

2006 : $118,000

2007 : $106,000

2008 : $106,000

Administering Institution The Australian National University

Project Summary

Many fundamental advances in modern technology, science and economics are driven through the analysis of nonlinear models based on nonlinear partial differential equations. In recent years there has been an explosion in applications of partial differential equations of elliptic type with major discoveries in underlying theory being made by the two Chief Investigators. This project provides for the continuation of Australian leadership in key strategic areas of international science, such as optimal transportation, as well as the continued building of related expertise and training.

The University of Adelaide

DP0664339 Prof MG Eastwood

Approved Symmetry in Differential Geometry

Project Title

2006 : $168,000

2007 : $156,000

2008 : $156,000

2009 : $160,000

2010 : $160,000

APF Prof MG Eastwood

Administering Institution The University of Adelaide

Project Summary

Differential geometry is a major branch of mathematics studying shape by using calculus and differential equations. This is a fundamental research project in this area, especially concerned with the interaction between geometry, differential equations, and symmetry. The mathematical notion of symmetry was already formalised early last century and nowadays lies at the very heart of mathematics and physics. Advances in this area provide essential tools in basic science and unexpected technological benefits can easily arise (for example, in medical imaging). Fundamental mathematical research is absolutely necessary if Australia is to maintain a presence on the international scientific stage.

DP0662770 A/Prof M Varghese

Approved Fractional analytic index theory

Project Title

2006 : $94,000

2007 : $84,000

2008 : $86,000

Administering Institution The University of Adelaide

Project Summary

Atiyah Singer index theory, for which M.F. Atiyah and I.M. Singer received the 2004 Abel Prize, has stimulated considerable interaction between mathematicians and mathematical physicists. An extension of this theory is Fractional Index Theory, co  invented by R.B. Melrose, I.M. Singer and myself, which has received international attention, having solved a fundamental open problem. A central aim in my research project is to extend our theory to elliptic boundary value problems. 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.

The University of Melbourne

DP0666120 Prof G Hjorth

Approved Equivalence Relations, Group Actions, and Descriptive Set Theory

Project Title

2006 : $151,060

2007 : $151,060

2008 : $151,060

2009 : $151,060

2010 : $151,060

APF Prof G Hjorth

Administering Institution The University of Melbourne

Project Summary

This project is a contribution to basic and foundational research in the area of Pure Mathematics generally and Mathematical Logic specifically. Logic in particular appears in disciplines as diverse as Computer Science,Linguistics, and Philosophy, and the development of logic in these fields has been profoundly influenced by the foundational work of mathematical logicians. The innovative techniques introduced in this proposal will enable Australia to maintain a position at the forefront of Pure Mathematics, and by recruiting a recent winner of the highly prestigious Karp prize the country will be instantly established as one of the leading centers of Mathematical Logic.

DP0663399 A/Prof CD Hodgson

Approved Three dimensional geometry and topology

Project Title

2006 : $82,000

2007 : $72,000

2008 : $74,000

Administering Institution The University of Melbourne

Project Summary

This project will carry out important fundamental research into the geometry and topology of 3 dimensional manifolds, an area of intense activity over the last 30 years. The work has direct applications to physics, for example recent work in cosmology aimed at determining the global structure of our universe. Our work on knotting and symmetries of molecular graphs will also be of considerable interest in chemistry and biology. The project will also provide high quality training of undergraduate and graduate students in geometry and topology, and will increase international cooperation by developing closer links with colleagues and institutions overseas.

DP0664225 Dr C Kao; Dr MW Cantoni; A/Prof U Jonsson

Approved Robustness Analysis and Control Design of Distributed and Networked Systems

Project Title

2006 : $90,000

2007 : $80,000

2008 : $82,000

Administering Institution The University of Melbourne

Project Summary

The theory and computational tools to be developed in this project have impact on a broad range of areas, including various engineering disciplines, biology, and medical and environmental sciences. In terms of practical interests, this project will create cutting edge technologies which are applicable to important infrastructures of the modern society such as communication networks, transportation systems, electrical power grids, collaborative intelligent machines, and water distribution networks.

DP0664501 A/Prof D Nesic; Dr Y Tan

Approved Finite dimensional Sampled data Control of Nonlinear Spatially Distributed Parameter Systems

Project Title

2006 : $113,000

2007 : $101,000

2008 : $101,000

APD Dr Y Tan

Administering Institution The University of Melbourne

Project Summary

Optical communication networks, smart materials and fluid flows, are all examples of systems whose behaviour can be significantly improved by automatic control. These are identified as some of the key technologies that will shape our future. This project will contribute to the fundamental science and engineering design of such diverse systems. Two postdoctoral fellows and one graduate student will be trained in this important emerging field.

DP0663005 A/Prof PA Pearce; Prof MD Gould

Approved Quantum Spectra

Project Title

2006 : $88,000

2007 : $78,000

2008 : $80,000

Administering Institution The University of Melbourne

Project Summary

Fundamental quantum processes will play a key role in emerging technologies in the twenty first century across diverse industries including quantum information technology, quantum computers and electronics, quantum optics, nanoscale quantum microscopes and superconductor technology. Australia has a strong base of expertise in the underpinning quantum disciplines. This project in strategic basic research within mathematical physics will develop a comprehensive and consistent mathematical description of quantum processes. This research will lead to a deeper understanding of quantum processes, keep Australia at the leading edge of international developments and increase Australia's capacity to develop and implement these new technologies.

DP0664276 Prof JH Rubinstein; Dr PT Norbury

Approved Minimal surfaces

Project Title

2006 : $88,000

2007 : $78,000

2008 : $80,000

Administering Institution The University of Melbourne

Project Summary

Recent stunning progress in topology, in particular a possible solution to one of the Clay Institute million dollar problems, using techniques from partial differential equations and minimal surfaces has made this area a hot topic. To attract researchers in this field to visit Australia and to train students in this area is a major part of this project.

The University of New South Wales

DP0664550 Prof MG Cowling; Mr BT Warhurst

Approved Geometry on Nilpotent Groups

Project Title

2006 : $93,000

2007 : $81,000

2008 : $81,000

APD Mr BT Warhurst

Administering Institution The University of New South Wales

Project Summary

Nilpotent Lie groups turn up in mechanics, robotics, biology, physical chemistry and electrical engineering, to deal with real  world configurations in which it is not possible to move in all directions. This project will develop the mathematical foundations of the theory in order to underpin the many and varied applications. Development of the foundations also allows techniques developed to deal with one application to be transferred to deal with another application. The project will also raise the profile of Australian Mathematics internationally and train the researchers of the future.

DP0665124 Dr J Du

Approved Algebras with Frobenius morphisms and quantum groups

Project Title

2006 : $78,000

2007 : $65,000

2008 : $67,000

Administering Institution The University of New South Wales

Project Summary

In this digitalized world, our life relies on mathematics more than ever. Counting and numbers are just one example of this. Another is the public key codes for online payments and transactions. Mathematics is of enormous importance in this technology dominated age. This proposal is to carry out high level mathematical research in Australia. Basic research on quantum groups underpins applied research and certain areas such as quantum mechanics and string theory. Some structure of quantum groups is too complicated to be seen by even a professional mathematician. A possible interpretation by using representations over a finite field would make it more usable and accessible by computer.

DP0663153 Dr B Goldys; Prof Dr MG Roeckner

Approved Large Time Behavior of Solutions to Stochastic Partial Differential Equations

Project Title

2006 : $93,000

2007 : $83,000

2008 : $85,000

Administering Institution The University of New South Wales

Project Summary

We will study equilibria of complex systems described by stochastic partial differential equations. The rates of convergence to equilibrium will be obtained for the equations driven by Gaussian and general Levy noises under physically relevant assumptions. The benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of mathematical analysis of complex systems and development of close ties with the world leaders in this area of research. The project will advance our understanding of complex systems arising in Phyiscs, Engineering, Social and Life Sciences, hence fits into the Priority Goal: Breakthrough Science.

DP0665482 A/Prof BI Henry; Dr SL Wearne

Approved Mathematical measurement and modelling of neuronal degeneration

Project Title

2006 : $103,000

2007 : $93,000

2008 : $95,000

Administering Institution The University of New South Wales

Project Summary

Currently about 150,000 Australian's suffer from cognitive impairment due to Alzheimer's disease or dementia and this number is expected to double over the next few decades. By combining newly developed mathematical methods in complex systems with sophisticated neural imaging we will develop new techniques to advance the diagnosis and treatment of cognitive decline in normal ageing and neurodegenerative disease. This project will also maintain the collaborative link between researchers in Biomathematics at Mount Sinai School of Medicine, New York and researchers in Applied Mathematics at UNSW that enables training of Australian scientists in the vital area of mathematical bio complexity.

DP0664956 Prof IR Petersen; Prof MR James

Approved Robust Feedback Control in Quantum Technology

Project Title

2006 : $155,000

2007 : $152,000

2008 : $150,000

2009 : $105,000

2010 : $105,000

Administering Institution The University of New South Wales

Project Summary

Australia has considerable strengths in quantum technology research. As these technologies advance, the issue of control and in particular feedback control becomes a critical one. This research project will strengthen Australia's position in quantum technology by developing new methodologies for designing high performance robust feedback controllers for quantum systems. The project will also add to Australia's strength in quantum technology by contributing to the research training of young researchers with expertise both in control systems engineering and quantum technology. This project will help Australia reap the maximum possible benefit from the new industries to emerge from the field of quantum technology.

The University of Newcastle

DP0666620 Dr AJ Fleming

Approved Analysis, Optimization, and Control of Scanning Atomic Force Microscope Micro Cantilever Probes

Project Title

2006 : $128,996

2007 : $95,000

2008 : $80,000

APD Dr AJ Fleming

Administering Institution The University of Newcastle

Project Summary

Atomic Force Microscopes (AFM's) are widely used for the examination of samples smaller than can be observed with an optical microscope. A tiny 'finger', only a few atoms wide at its sharpest point, is used to 'feel' the surface of a sample. This project aims to increase the resolution of AFM images by actively controlling the sensor probe dynamics. Better quality AFM images would allow scientists to further investigate the atomic and molecular structure of such samples as: metals, polymers, cells, and proteins. This research will contribute to the design of an Australian made Scanning Probe Microscope. Development of local expertise will provide a valuable resource for Australian scientific and industrial research.

DP0663082 Prof GC Goodwin

Approved Parsimonious Quantization in Signal Processing and Control

Project Title

2006 : $178,945

2007 : $115,000

2008 : $112,000

2009 : $131,000

2010 : $133,000

Administering Institution The University of Newcastle

Project Summary

In today's society there is an abundance of data. Indeed, it could be argued that we suffer from data 'overload'. Thus to turn 'data' into actions, the need for parsimony in signal processing and control arises. For that purpose, the data must be sampled (in time) and quantized (in space). Within this context, the current project is aimed at understanding aspects of sampled parsimonious quantization. The results have widespread practical uses including digital cameras, video compression, audio quantization, control over communication networks, switching of electronic devices and many others.

DP0666255 A/Prof SO Moheimani

Approved Advanced Control of Dual Stage Hard Disk Drives

Project Title

2006 : $148,000

2007 : $123,000

2008 : $125,000

Administering Institution The University of Newcastle

Project Summary

The project is of significant scientific merit, resulting in solutions to open problems in control of dual stage hard disk drive systems. This will contribute to the maintenance of Australia's international research profile, help maintain its internal research vitality and also enhance the advanced engineering base of the country. An important benefit of this research is the direct application of developed ideas to the next generation data storage systems. The completion of this project will directly benefit Australia's developing high tech industries.

DP0665131 Dr DA Pask; Dr AD Sims

Approved Pictures for Operator Algebras: higher rank graphs

Project Title

2006 : $101,000

2007 : $88,000

2008 : $90,000

Administering Institution The University of Newcastle

Project Summary

The runaway success of graph C* algebras pioneered at the University of Newcastle places Australia at the forefront of an exciting new research field. Higher dimensional graphs and their algebras are a promising new direction, and this project will keep Australian researchers at its cutting edge. This project will involve and train talented young researchers who will contribute to the Mathematical outcomes of the current project. Their involvement will train them in the techniques of modern Mathematics and furnish them with important international research connections. In doing so we shall be laying a strong foundation for the future of Australian Mathematical research.

The University of Queensland

DP0663083 Dr Y Zhang; Prof R Sasaki; Prof AA Belavin; Dr W Yang

Approved Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information

Project Title

2006 : $106,000

2007 : $96,000

2008 : $98,000

Administering Institution The University of Queensland

Project Summary

Quantum integrable systems have produced exciting results and techniques vital in the efforts to achieve the ultimate goal of understanding quantum science beyond perturbation. The proposal gathers four world experts from Australia, Japan and Russia to work on highly interdisciplinary projects designed to resolve fundamental problems in the field, which will underpin the development of emerging technologies. As a result, Australian science will be seen to be at the forefront internationally, and the leading status of Australia in the field will be greatly strengthened. Early career researchers and PhD students will be trained as part of the project, important in enhancing Australia's capability to develop and retain scientific talent.

The University of Sydney

DP0667065 Dr G Gottwald; Dr MJ Breakspear

Approved Nonlinear Time Series Analysis in Cardiac Physiology

Project Title

2006 : $80,000

2007 : $67,000

2008 : $69,000

Administering Institution The University of Sydney

Project Summary

We will develop innovative mathematically based diagnostics with potentially significant savings in mortality and quality of life for affected individuals and health care costs to the community. Cardiac diseases kill more Australians than any other disease group. According to the National Heart Foundation the prevalence to heart conditions increased by 18% over the last decade. Medical practitioners are in need of reliable diagnostic tools to decide whether a person in front of them is at high risk from developing sudden cardiac death, and whether they should be fitted with an implant that could save their life.

DP0664624 Prof N Joshi

Approved New Directions in Non linear Mathematical Asymptotics

Project Title

2006 : $88,000

2007 : $78,000

2008 : $80,000

Administering Institution The University of Sydney

Project Summary

Major challenges such as predicting epidemics or modelling cancer rely on our understanding of simple mathematical models with extremely complicated solutions. The first and only model in the literature to reproduce the three phase cycle of immune response in HIV/AIDS was based on cellular automata. Its results are extremely sensitive to infinitesimally small changes in parameters. Yet, no technique exists to study such variation in cellular automata. This research will provide new methods for prediction and analysis of such models.

DP0665944 Dr A Mathas; Dr RB Howlett; Dr DI Cartwright; Prof J Shi

Approved Affine buildings and Hecke algebras

Project Title

2006 : $101,000

2007 : $91,000

2008 : $93,000

Administering Institution The University of Sydney

Project Summary

This project is breakthrough science. Affine buildings, Ramanujan complexes and the representation theory of affine Hecke algebras are on the cutting edge of research in mathematics, as evidenced by recent special programs at Cambridge and Princeton. The outcomes from this project will be published in first class journals and they will be implemented in computer algebra systems for world wide application. The project is likely to have flow on effects in other disciplines, notably communication networks, mathematical physics and computer science.

DP0665927 Dr R Zhang; Dr AI Molev

Approved Infinite Dimensional Unitarizable Representations of Lie Superalgebras

Project Title

2006 : $70,000

2007 : $70,000

2008 : $70,000

Administering Institution The University of Sydney

Project Summary

The project addresses major outstanding mathematical problems, which are of fundamental importance to the development of a unified theory of all four interactions in quantum physics. Mathematics is essential for the understanding of our own rationality. Advances in the field promised by this project are of intrinsic value. Physics is the foundation of modern technology. Success of the project will help to create a scientific environment in Australia that fosters technological creativity and innovation. Results of the project will greatly enhance the scientific reputation of Australia internationally, attracting foreign researchers and Ph.D students to Australian shores.

The University of Western Australia

DP0662841 A/Prof KT Judd; Dr L Smith

Approved Forecasting and management using imperfect models, with a focus on weather and climate

Project Title

2006 : $83,000

2007 : $73,000

2008 : $75,000

Administering Institution The University of Western Australia

Project Summary

Research into complex systems is predicted to be the focus of twenty first century science, since most of the problems of simple systems are solved. Examples include the weather and climate, economies, argriculture, ecologies, the mind and brain, genetics, biochemistry. Confidence in the reliability and usefulness of models will have significant bearing on how these models are used by decision making and how the community perceives the value of this science. Specific immediate benefits of the project include better policy and management responses to climate change and servere weather events.

University of Ballarat

DP0666061 Dr A Bagirov

Approved Derivative free algorithms for large scale nonsmooth and global optimization and their applications

Project Title

2006 : $93,240

2007 : $93,240

2008 : $93,240

2009 : $93,240

2010 : $93,240

ARF Dr A Bagirov

Administering Institution University of Ballarat

Project Summary

The outcomes expected from this research fall broadly into two categories: 1) the development of a new class of effective readily implementable derivative free techniques for large scale non smooth and global optimisation and 2) the development of new algorithms based on derivative free optimization techniques for solving data mining, resource allocation problems and some problems in bioinformatics. In particular, the application of these techniques to molecular biology and cluster analysis will be very important for the development of competitive technologies for Australia.

University of South Australia

DP0666632 Prof JA Filar; Dr SK Lucas; Prof VS Borkar; Prof W Murray

Approved Doubly Stochastic Matrices & The Hamiltonian Cycle Problem

Project Title

2006 : $110,000

2007 : $111,000

2008 : $112,000

2009 : $113,000

2010 : $114,000

APF Prof JA Filar

Administering Institution University of South Australia

Project Summary

The classical hard problem of determining whether a given graph possesses a Hamiltonian cycle contains the essential difficulty of the famous 'Travelling Salesman Problem'. A characterisation of this difficulty in terms of variability of returns (to the initial state) in a controlled stochastic process will be a significant conceptual advance with repercussions in a number of fields including optimisation and theoretical computer science. Algorithmic advances exploiting such a characterisation will significantly contribute to existing technologies for solving problems in applications ranging from logistics to cryptography. Since TSP describes certain efficient ways of routing its applicability to information networks is clear.

DP0664330 Prof V Gaitsgory

Approved Occupational Measures Approach to Long Run Average and Singularly Perturbed Optimal Control

Project Title Problems

2006 : $73,000

2007 : $75,000

2008 : $77,000

Administering Institution University of South Australia

Project Summary

Problems of optimal control of long run average and singularly perturbed systems arise in many applications. The project will lead to the development of new linear programming based techniques for analyzing these problems (including problems intractable so far) and finding their numerical solutions. The new techniques will have a potential to be further developed into software that can benefit Australian industries and technologies. The proposed topic is in the focus of interest of many eminent researchers around the world and the dissemination of our results will further improve Australia's standing in the international research community.

University of Western Sydney

DP0666780 A/Prof WX Zheng; Prof J Chen



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