This workshop focusses on the mathematics and physics of integrability in classical and quantum physical systems in 1 and 2 dimensions. Following on from our 2017 AMSI-AustMS-MATRIX@Melbourne Workshop (https://www.matrix-inst.org.au/events/integrability-in-low-%C2%AD%E2%80%90dimensional-quantum-systems/), this workshop is organised around currently active hot topics and open problems with 50% of the program reserved for group collaboration. The overarching motivation is to […]
Dependent data is widely observed across many different scientific disciplines, such as finance, agriculture, astronomy, hydrology and climatology, ecology and geology. They are also frequently used in health science and socio-economic disciplines. The recent development of powerful data gathering technology has brought larger and more complex datasets, which calls for new statistical tools developments. The […]
Atherosclerosis is a chronic disease characterised by the growth of fatty plaques in the major arteries. These plaques can cause heart attack and strokes. Atherosclerosis is one of the major causes of death in the developed world, and yet mathematical modelling of atherosclerosis is still in its infancy. By contrast, mathematical modelling of cancer, another […]
The discovery of the relevance of Calabi-Yau manifolds to string compactifications, and later its associated mirror symmetry are two examples of discoveries in string theory that led to small revolutions in pure mathematics. The lesson learned over several decades appears to be: the drive for realistic theories of quantum gravity has generated remarkable and novel […]
This one-week intensive research program aims to bring together experts in algebraic topology, topological data analysis and mathematical biology with an aim to build bridges and collaboration between these research groups. Key speakers and other participants will come from diverse research backgrounds from pure mathematics to bioinformatics. There is extensive evidence that partnerships between these […]
Description: Many algorithms in mathematical optimisation work on the principle of breaking a complex problem into smaller, computationally tractable pieces and then exploiting the relative simplicity of these smaller pieces as part of an iterative process. For algorithms that use first-order (i.e. gradient) information, operator splitting provides the unifying mathematical framework. In recent times, there […]
Description: Slow viscous flows with interfaces are seen in many different industrial and natural processes including optical fibre and window glass fabrication, chemical etching, lava flows, landslides, underground salt plumes, the tear film on the eye, solidification, and more. Mathematical modelling can identify and quantify important industrial control parameters, enable solution of difficult inverse problems, […]
Description: Integrable systems have long been used to study the global properties of surfaces arising from variational problems. More recently, integrable discretisations of the smooth theory have been developed and the cross-fertilisation of ideas between the smooth and discrete theories has been extremely fruitful for both. Originally the smooth theory provided motivation for the discrete […]
