Mathematical Sciences: Algebraic, Geometric and Combinatorial Structures Related to Multivariate Hypergeometric Functions

该奖项支持 A. Zelevinsky 教授在组合学方面的研究。 他打算研究 Aomoto-Gelfand 超几何函数及其泛化研究中出现的问题。还将考虑经典消除理论、实代数几何、Chow 簇、Grobner 基和拟阵的应用。 该研究属于组合学的一般领域。 组合学试图找到有效的方法来研究如何组织离散的对象集合。 因此，它对于现代通信极其重要，例如电话系统中的大型网络的设计和计算机科学中的算法设计。

This award supports the research of Professor A. Zelevinsky to work in combinatorics. He intends to investigate problems arising from the study of Aomoto-Gelfand hypergeometric functions and their generalizations. Applications to classical elimination theory, real algebraic geometry, Chow varieties, Grobner bases and matroids will also be considered. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.