Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected ou ....Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected outcomes will include innovative techniques that will greatly enhance and interconnect our knowledge of field theories and quantum gravity, together with new discoveries in quantum-corrected geometries. A new network of domestic and international experts will largely benefit the fields of theoretical and mathematical physics.Read moreRead less
ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellu ....ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellular level and enable new ways of combining diverse and heterogenous data. This will allow us to understand the mechanisms underlying cellular behaviour, and to apply rational design engineering methods in order to control the dynamics of biological systems. Read moreRead less
ARC Centre of Excellence for Dark Matter Particle Physics. The Centre of Excellence for Dark Matter Particle Physics will deliver breakthroughs in our understanding of the Universe through the pursuit of the discovery of dark matter particles which comprise 80% of the mass of the universe. It assembles for the first time a strong and diverse team of physicists from particle, nuclear, and quantum physics as well as particle astrophysics. It will deliver high-profile experiments using new cutting- ....ARC Centre of Excellence for Dark Matter Particle Physics. The Centre of Excellence for Dark Matter Particle Physics will deliver breakthroughs in our understanding of the Universe through the pursuit of the discovery of dark matter particles which comprise 80% of the mass of the universe. It assembles for the first time a strong and diverse team of physicists from particle, nuclear, and quantum physics as well as particle astrophysics. It will deliver high-profile experiments using new cutting-edge technologies. The Centre will exploit the unique geographical location of the first underground physics lab in the Southern Hemisphere. The ultra-sensitive detectors and ultra-low radiation techniques will translate into a broad range of industrial applications and train a new generation of scientists.Read moreRead less
New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are ....New methods in spectral geometry. This project aims to use methods from mathematical scattering theory to resolve problems in the spectral analysis and index theory of differential operators. Both areas underpin the theoretical understanding of physical materials at micro length scales where quantum phenomena dominate. The project will develop new mathematical results in spectral analysis and geometry, and apply its results to theoretical models of quantum phenomena whose spectral properties are at the limit of the range of mathematical techniques. Solving these problems is expected to influence non-commutative analysis.Read moreRead less
Singularity and regularity for Monge-Ampere type equations. The Monge-Ampere equation, as a premier nonlinear partial differential equation, arises in several areas including geometry, physics, and optimal transportation. Many important problems and applications are related to the regularity of solutions, which are obstructed by singularities. This project aims to classify the geometry of the singular sets, and to establish a comprehensive regularity theory for general Monge-Ampere type equation ....Singularity and regularity for Monge-Ampere type equations. The Monge-Ampere equation, as a premier nonlinear partial differential equation, arises in several areas including geometry, physics, and optimal transportation. Many important problems and applications are related to the regularity of solutions, which are obstructed by singularities. This project aims to classify the geometry of the singular sets, and to establish a comprehensive regularity theory for general Monge-Ampere type equations by using innovative approaches and developing cutting-edge technologies in partial differential equations. Expected outcomes include the resolution of outstanding open problems. This project will significantly enhance Australia’s leadership and expertise in a major area of mathematics and applications.Read moreRead less
Industrial Transformation Training Centres - Grant ID: IC230100036
Funder
Australian Research Council
Funding Amount
$4,999,600.00
Summary
ARC Training Centre for Radiation Innovation. This Centre aims to train the next generation of transdisciplinary leaders to enable, grow and transform industries that utilise or are impacted by radiation. Rapid growth in the natural resources, health, space and national security sectors urgently requires a highly capable workforce with scientific and regulatory knowledge to develop new technologies and social licence needs to maximise benefits. Outcomes include new methods of radiopharmaceutical ....ARC Training Centre for Radiation Innovation. This Centre aims to train the next generation of transdisciplinary leaders to enable, grow and transform industries that utilise or are impacted by radiation. Rapid growth in the natural resources, health, space and national security sectors urgently requires a highly capable workforce with scientific and regulatory knowledge to develop new technologies and social licence needs to maximise benefits. Outcomes include new methods of radiopharmaceutical production, more resilient spacecraft and robust regulatory frameworks. Industries and communities will benefit from a future workforce prepared for safe adoption, development and delivery of emerging techniques and advanced radiation technologies, enhancing Australia’s prosperity and security.Read moreRead less
ARC Centre of Excellence in Quantum Biotechnology. ARC Centre of Excellence in Quantum Biotechnology. The ARC Centre of Excellence in Quantum Biotechnology aims to develop paradigm-shifting quantum technologies to observe biological processes and transform our understanding of life. It seeks to create technologies that go far beyond what is possible today, from portable brain imagers to super-fast single protein sensors, and to use them to unravel key problems including how enzymes catalyse reac ....ARC Centre of Excellence in Quantum Biotechnology. ARC Centre of Excellence in Quantum Biotechnology. The ARC Centre of Excellence in Quantum Biotechnology aims to develop paradigm-shifting quantum technologies to observe biological processes and transform our understanding of life. It seeks to create technologies that go far beyond what is possible today, from portable brain imagers to super-fast single protein sensors, and to use them to unravel key problems including how enzymes catalyse reactions and how higher brain function emerges from networks of neurons. By building a diverse, multidisciplinary, and industry-engaged ecosystem, the Centre means to develop our future leaders at the interface of quantum science and biology and drive Australian innovation across manufacturing, energy, agriculture, health, and national security.Read moreRead less
Physical realisation of enriched quantum symmetries. This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory.
The main goal is to understand the lands ....Physical realisation of enriched quantum symmetries. This project aims to investigate fundamental mathematical structures in modern category theory, providing an algebraic description of physical systems including topological order and conformal field theory. The project will study quantum symmetry, and classify and construct new classes of conformal field theories, using novel tools from enriched category theory, modular forms, and lattice gauge theory.
The main goal is to understand the landscape of topological and conformal field theories, laying the foundation for new technologies based on topological order. This timely project capitalises on the recent arrival of subfactor experts in Australia, and builds capacity in mathematical research and international links in a cutting edge field.Read moreRead less
Harnessing opto-acoustic interactions for on-chip optical isolation. The project aims to develop practical on-chip photonic isolators – one-way optical circuits – by harnessing light–sound interactions in a nanoscale platform novel in its materials, design and mechanism. The project should develop new nanofabrication techniques and transform understanding of the physics of one-way photonic processes. Expected outcomes include enhanced design and fabrication capabilities for photonic circuits, ul ....Harnessing opto-acoustic interactions for on-chip optical isolation. The project aims to develop practical on-chip photonic isolators – one-way optical circuits – by harnessing light–sound interactions in a nanoscale platform novel in its materials, design and mechanism. The project should develop new nanofabrication techniques and transform understanding of the physics of one-way photonic processes. Expected outcomes include enhanced design and fabrication capabilities for photonic circuits, ultra-compact, high-performance optical isolators and circulators that shield sensitive optical components, and a suite of theoretical tools for describing propagation and noise in these devices. These new high performance photonic circuits should benefit telecommunications, radar, defence, and sensing applications. Read moreRead less