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，在从理论高能物理(暗物质和希格斯玻色子)到通过密码学进行数据加密和纠错等领域都有广泛的应用。这个项目的目的是解决这一理论中的中心开放问题。这将通过开发新的方法和在这些领域的不同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领域的前沿开展研究，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.