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 […]

The goal of this program is to bring together world-leading specialists on topics contiguous to random matrix theory for the purposes of sharing recent breakthroughs and initiating collaborations across multiple disciplines. Research activities will focus on relations between random matrix theory and the following themes: statistical mechanics of log-gases; machine learning and statistical inference; (free) […]

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 done […]

The Mathematics of Risk – 2025 (MofR-2025) comprises six workshops (W) covering contemporary topics in risk modelling: (W1) Modern Topics in Finance (November 3); (W2) Machine Learning for Risk Modelling (November 4); (W3) Markov Processes and Their Applications in Risk Analysis (November 5); (W4) Stochastic Analysis and Its Applications in Statistics (November 6–7); (W5) Stochastic […]

The Queer and Trans Mathematicians in Combinatorics conference (QTMC) is a research conference aimed at the diversification of combinatorics. The main focus of the QTMC is to promote retention and inclusion of queer and trans mathematicians in combinatorics, especially early career researchers, by bringing visibility to an otherwise invisible minority within maths. The QTMC will […]

This two-week program will explore the intersection of gauge theory and string geometry—two of the most vibrant and foundational areas in modern mathematics and theoretical physics. Week one features five intensive mini-courses taught by internationally recognized experts, focusing on advanced training for PhD students and early-career researchers. Week two transitions into an international research conference […]

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 to […]

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 […]

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 […]