Mathematical Sciences: The Algebro-Geometric Theory of Difference Equations

该奖项支持D教授的研究。吉塞克， 研究代数几何。 吉泽克教授将研究 差分算子的等谱形变理论和 代数曲面上的稳定丛理论。 他打算 研究了户田格和模空间的不可约性 稳定的Bundles。 这项研究是在代数几何领域，其中之一， 现代数学中最古老的部分，但其中一个蓬勃发展， 在过去的10年里， 已经屹立了几个世纪 最初，它处理的数字定义 用最简单的方程，即多项式。 今天，该领域使用的方法不仅来自代数， 分析和拓扑学，相反，它被广泛用于 这些领域。 此外，它已证明在以下领域是有用的， 包括物理学、理论计算机科学、密码学、 编码理论和机器人学

This awards supports the research of Professor D. Gieseker to work in algebraic geometry. Professor Gieseker will study the theory of isospectral deformations of difference operators and the theory of stable bundles on an algebraic surface. He intends to study the Toda lattice and the irreducibility of the moduli space of stable bundles. This 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.