Mathematical Sciences: Complex Algebraic Geometry

该奖项支持圣母大学安德鲁·索梅斯教授在代数几何方面的研究。Sommese博士的项目是继续他对复射影流形的超平面截面和复数簇的射影分类的研究。他还将继续研究光滑复射影簇的零维子格式。这是对代数几何领域的研究，代数几何是现代数学中最古老的部分之一，但在过去的25年里，它取得了革命性的成就。在它的起源中，它处理的是可以在平面上用最简单的方程定义的图形，即多项式。如今，该领域不仅使用代数的方法，而且使用分析和拓扑学的方法，反过来，在这些领域以及物理、理论计算机科学和机器人中也找到了应用。

This award supports the research in algebraic geometry of Professor Andrew Sommese of the University of Notre Dame. Dr. Sommese's project is to continue his research on hyperplane sections of complex projective manifolds and the projective classification of complex varieties. He will also continue his studies of the zero-dimensional subschemes of smooth complex projective varieties. This is research in the field 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.