Mathematical Sciences: Algebraic Geometry

该奖项支持J·哈里斯教授的研究 来研究代数几何。 他将致力于 曲线参数空间的分支理论 覆盖，均匀位置点的希尔伯特函数， 模空间上同调的代数方法。 这项研究是在代数几何领域，一个 现代数学中最古老的部分，但其中一个 在过去的10年里， 解决了几个世纪以来的问题。 最初， 它处理的图形定义在平面上的最简单的 方程，即多项式。 今天，该领域使用的方法 不仅是代数，还有分析和拓扑学 相反，它在这些领域得到了广泛的应用。 此外，它已经证明自己在不同的领域， 物理学，理论计算机科学，密码学，编码 理论与机器人

This award supports the research of Professor J. Harris to work in algebraic geometry. He will work on the dimension of the parameter space of curves, the theory of branched covers, Hilbert functions of points in uniform position and an algebraic approach to the cohomology of moduli spaces. The research is in the field of algebraic geometry, one of the oldest parts of modern mathematics, but one which blossomed to the point where it has, in the past 10 years, solved problems that have stood for centuries. Originally, it treated figures defined in the plane by the simplest of equations, namely polynomials. Today, the field uses methods not only from algebra, but also from analysis and topology, and conversely it is extensively used in those fields. Moreover it has proved itself useful in fields as diverse as physics, theoretical computer science, cryptography, coding theory and robotics.