Mathematical Sciences: Curves on Special Surfaces and The Local Miyaoka-Yau Inequality

该奖项支持J. Wahl教授的研究， 研究代数几何。 教授的一个问题是 Wahl将致力于研究K3曲面上的高斯映射 或者更一般地，在可能的奇异曲面上， 典范丛他还将继续研究拓扑 局部奇点的性质 这项研究使用代数几何的技术， 现代数学中最古老的部分，但其中有一个 在过去的四分之一个世纪里，在其 起源，它处理的数字，可以定义在平面上， 最简单的方程，即多项式。如今，该领域 不仅使用代数方法，而且使用分析方法， 拓扑学，反过来说， 以及物理学、理论计算机科学， 机器人

This award supports the research of Professor J. Wahl to work in algebraic geometry. One of the problems that Professor Wahl will address will be studying Gaussian maps on K3 surfaces or more generally on possibly singular surfaces with trivial canonical bundle. He will also continue to study topological properties of local singularities. This research uses the techniques of algebraic geometry, one of the oldest parts of modern mathematics, but one which has had a revolutionary flowering in the past quarter-century. In its origin, it treated figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field makes use of methods not only from algebra, but from analysis and topology, and conversely is finding application in those fields as well as in physics, theoretical computer science, and robotics.