Ultra-low fouling active surfaces. This project aims to develop chemistries and fabrication approaches through innovative materials evaluation to develop ultra-low fouling active electrode surfaces. Development of ultra-low fouling surfaces will have significant impact in a range of applications where system or device failure is attributed to fouling. The growing field of bionics, where implantable electronic devices interface directly with the nervous system, is one such device. The expected ou ....Ultra-low fouling active surfaces. This project aims to develop chemistries and fabrication approaches through innovative materials evaluation to develop ultra-low fouling active electrode surfaces. Development of ultra-low fouling surfaces will have significant impact in a range of applications where system or device failure is attributed to fouling. The growing field of bionics, where implantable electronic devices interface directly with the nervous system, is one such device. The expected outcomes will be an understanding of the material requirements that lead to the elimination of protein and cell accumulation at surfaces that degrades the performance and lifetime of these implants. The findings will benefit any application where fouling is a problem.Read moreRead less
From Brain Maps To Mechanisms: Modeling The Pathophysiology Of Schizophrenia
Funder
National Health and Medical Research Council
Funding Amount
$320,891.00
Summary
My Fellowship will develop a framework that integrates brain imaging data with mathematical models of the brain to help understand the mechanisms responsible for schizophrenia. By linking functional Magnetic Resonance Imaging (fMRI) measurements to models of their underlying causes, the work may lead to new treatments that target the specific dysfunction in individuals with this debilitating brain disorder.
Better prevention and management of disabling back pain. This project will establish a program of back pain research within an inter-disciplinary research centre focused on the prevention and management of physical disability.
Catalytic production of health food additives from crustacean wastes. Cost-effective production of new synthetic amino acids as value-added food additives from crustacean wastes is vital for waste recycling and a sustainable economy. This project will develop a unique catalytic system for the selective conversion of waste-derived compounds into tailor-made products. Advanced in situ spectroscopic techniques will be employed to establish the structure-reactivity relationship of working catalysts ....Catalytic production of health food additives from crustacean wastes. Cost-effective production of new synthetic amino acids as value-added food additives from crustacean wastes is vital for waste recycling and a sustainable economy. This project will develop a unique catalytic system for the selective conversion of waste-derived compounds into tailor-made products. Advanced in situ spectroscopic techniques will be employed to establish the structure-reactivity relationship of working catalysts and thereby manipulate the key factors governing the activity/selectivity. Such cutting-edge knowledge gained is crucial for optimising process effciency and resource utilisation, which is essential for the success of the biorefining industry and a more environmentally-friendly chemical and food economy in Australia.Read moreRead less
Structure and states of operator-algebraic dynamical systems. This project is in the general area of functional analysis, and more specifically operator theory, an area in which the University of Wollongong has an active research group and a strong international reputation. The investigators will study dynamical systems arising in combinatorial and number-theoretic situations, where the analogue of the "dynamics'' is provided by an action of the real line on an operator algebra. Thus the project ....Structure and states of operator-algebraic dynamical systems. This project is in the general area of functional analysis, and more specifically operator theory, an area in which the University of Wollongong has an active research group and a strong international reputation. The investigators will study dynamical systems arising in combinatorial and number-theoretic situations, where the analogue of the "dynamics'' is provided by an action of the real line on an operator algebra. Thus the project will involve ideas and techniques from a wide range of mathematical disciplines, and will help to broaden Australia's expertise across these disciplines.Read moreRead less
Endomorphisms, transfer operators and Hilbert modules. This project is in the general area of functional analysis, an area where both Newcastle University and the University of New South Wales have strong international reputations. The aim of the project is to study irreversible dynamics in the presence of transfer operators, as recently introduced by Professor Exel. The motivation comes from a variety of examples arising in different areas of mathematics, including number theory and graph theor ....Endomorphisms, transfer operators and Hilbert modules. This project is in the general area of functional analysis, an area where both Newcastle University and the University of New South Wales have strong international reputations. The aim of the project is to study irreversible dynamics in the presence of transfer operators, as recently introduced by Professor Exel. The motivation comes from a variety of examples arising in different areas of mathematics, including number theory and graph theory. It is hoped that the results will give new understanding of the algebraic and analytic structure underlying the multi-resolution analyses used in approximation theory and Fourier analysis. This project will help ensure that Australia has a strong foundation in mathematics which will foster innovation.Read moreRead less
Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in ....Representations of dynamical systems, amenability, and proper actions. Mathematicians study abstract objects by representing them in terms of well-understood concrete models, and need to know when a representation is faithful, in the sense that the model contains complete information. Dynamical systems are an abstraction of physical systems suitable for studying time evolution and symmetries. The project aims to determine when important representations of dynamical systems are faithful, or, in mathematical language, when the dynamical system is amenable. The proposed strategy involves extending Rieffel's notion of proper actions; the construction should be of wide applicability apart from the intended applications to amenability.Read moreRead less
Operator algebras associated to semigroups and graphs. This project aims to unify ideas from two highly topical areas of mathematics in which one studies discrete objects by representing them as families of linear transformations. In the first area, one represents the semigroups which model irreversible dynamics as isometries (that is, distance-preserving transformations); in the second, one represents networks by families of partially defined isometries in a way which reflects the behaviour of ....Operator algebras associated to semigroups and graphs. This project aims to unify ideas from two highly topical areas of mathematics in which one studies discrete objects by representing them as families of linear transformations. In the first area, one represents the semigroups which model irreversible dynamics as isometries (that is, distance-preserving transformations); in the second, one represents networks by families of partially defined isometries in a way which reflects the behaviour of paths in the network. The link will be achieved by viewing the operator algebras they generate as semidirect products which have been twisted by a noncommutative cocycle.Read moreRead less
The structure of quantum groups. We propose to study the structure of mathematical objects used in describing symmetries of micro-scale phenomena. The project will significantly develop already well established Australian-Korean cooperation in this exciting and rapidly growing area of research. The results will be immediately applicable to related fields of mathematics, most notably to noncommutative geometry. In the long run, the outcomes will help in better understanding of fundamental problem ....The structure of quantum groups. We propose to study the structure of mathematical objects used in describing symmetries of micro-scale phenomena. The project will significantly develop already well established Australian-Korean cooperation in this exciting and rapidly growing area of research. The results will be immediately applicable to related fields of mathematics, most notably to noncommutative geometry. In the long run, the outcomes will help in better understanding of fundamental problems of modern quantum physics.Read moreRead less