Geometric analysis of eigenvalues and heat flows

特征值和热流的几何分析：该奖学金项目旨在利用澳大利亚在非线性偏微分方程和几何分析领域的领先地位，开发新的和高度创新的数学方法。预计这些方法将影响一系列相关领域，包括随机建模和金融、图像处理和基础科学。该项目旨在成为该领域澳大利亚研究人员发展社区的焦点，为年轻研究人员和学生提供一个充满活力和国际活跃研究领域前沿的培训基地，并将顶级国际研究人员带到澳大利亚与当地研究社区互动。

Geometric analysis of eigenvalues and heat flows: This fellowship project aims to build on Australia's leading position in the areas of nonlinear partial differential equations and geometric analysis to exploit new and highly innovative mathematical methods. It is expected that the methods will affect a range of related fields including stochastic modelling and finance, image processing, and the basic sciences. The project seeks to serve as a focal point for a developing community of Australian researchers in this field, providing a training ground for young researchers and students at the forefront of a vigorous and internationally active area of research, and bringing top international researchers to Australia to interact with the local research community.