Integral transforms and moduli theory

这个项目是在代数几何，一个分支纯 数学首要目标是更好地了解 代数基础的复杂几何，出现在 数学中普遍存在的分类问题及其 应用于物理学。这些新知识将被应用于 进一步阐明这些空间的几何形状。 该项目的预期成果包括在我们的 理解代数堆栈的派生类别， Fourier-Mukai变换 其好处将是提高澳大利亚的国际地位 科学

This project is in algebraic geometry, a branch of pure mathematics. An overarching goal is a better understanding of the algebra underlying the sophisticated geometries that arise in the classification problems that are pervasive in mathematics and its applications to physics. This new knowledge will then be applied to further elucidate the geometry of these spaces. Expected outcomes of this project include major progress in our understanding of derived categories of algebraic stacks via the Fourier-Mukai transform. The benefit will be to enhance the international stature of Australian science.