Deformation of singularities through Hodge theory and derived categories

模理论是数学对象的现代分类理论，是代数几何的一个分支，应用于从理论高能物理（暗物质和希格斯玻色子）到数据加密和通过密码学进行校正的广泛领域。这个项目的目的是解决这一理论的核心开放性问题。这将通过开发新方法和在这些领域的各个动态分支之间建立更深层次的联系来实现。通过在这些高度活跃的前沿领域开展研究，该项目将加强澳大利亚数学界目前的专业知识，并促进澳大利亚高科技产业的发展。

Moduli theory, the modern classification theory of mathematical objects, is a branch of algebraic geometry with applications in wide-ranging areas from the theoretical high-energy physics (dark matter and Higgs boson) to data encryption and correction via cryptography. The aim of this project is to resolve central open problems in this theory. This will be achieved by developing new methods and establishing deeper connections between various dynamic branches of these fields. By undertaking research at the forefronts of these highly active areas, this project will both strengthen the current expertise within the Australian mathematical community and precipitate the advance of Australian high-tech industries.