Geometry of manifolds of non-negative scalar curvature

这项建议将在几个方面使澳大利亚受益：其成果将使澳大利亚成为标量曲率研究的世界领先者，从而帮助澳大利亚在微分几何和微分方程研究方面巩固其世界领先者的地位；这项研究的影响将吸引海外世界级专家来澳大利亚发展进一步的合作；越来越多有才华的澳大利亚学生将受到激励，从事以科学和数学为基础的研究，从而提高澳大利亚劳动力的数学技能。

This proposal will benefit Australia in several ways: Its outcomes will make Australia a world leader in research on scalar curvature, and consequently help Australia secure its position among world leaders in research on differential geometry and differential equations; Overseas world-class experts will be attracted to Australia by the impact of this research to develop further collaboration; More and more talented Australian students will be motivated to pursue science-based and mathematics based studies, thereby improving the mathematical skills of the Australian workforce.