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 […]
Description: Topological Data Analysis (TDA) is a research area at the intersection of Algebra, Topology, Geometry, Statistics and Machine Learning. While methods from TDA have been applied successfully to data from a variety of domains — from financial mathematics, to materials science, climate science, biomedical imaging, or social science —, there has been less work […]
Description: The past few years have witnessed important progress in our understanding of the geometry of algebraic varieties. This workshop will aim at gathering experts at an international scale on very active areas of research: birational geometry in positive and mixed characteristic and moduli theory of Fano varieties through K-stability. The program’s main goal is […]
Description: Character varieties are geometric spaces parametrising representations of a surface group into a Lie group. Higgs bundles on the other hand were introduced by Hitchin in the 1980s with motivations from Physics, and arise in the study of holomorphic vector bundles over Riemann surfaces. These two intimately related concepts are linked by the famous […]
Description: The event will bring together leading dynamicists and number theorists from both Australia and overseas to explore recent advances at the intersection of their fields. The conference will highlight cutting-edge developments in Diophantine approximation, homogeneous dynamics, and algebraic dynamical systems—areas that have seen rapid progress through deep conceptual interplay. It will also showcase the […]
Description: Mathematical models have become an important tool to understand and predict complex phenomena in the life and social sciences. Applied mathematics is an integral part of model development and analysis. However, various approaches have been developed within communities that focus on different aspects of model development, analysis and calibration. The proposed workshop will bring […]
