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 non-abelian […]

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 impact […]

AMSI Winter School is an advanced training program for postgraduate students, early-career researchers, and industry professionals held annually around a central theme selected from emerging national and global research priorities in the mathematical sciences. Each two-week program provides a scaffolded, graduate-accessible introduction to current research developments, delivered by leading national and international experts To enhance […]

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 together […]