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

该奖项支持A. Zelevinsky教授对多元超几何函数在代数、几何和组合结构中的应用的研究。特别是，他打算利用这些技术来研究代数变异、凸多面体和构造表示理论。这项研究是在组合学的一般领域。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，它对现代通信非常重要，例如电话系统中大型网络的设计以及计算机科学中算法的设计。

This award supports the research of Professor A. Zelevinsky to work on applications of multivariate hypergeometric function to algebraic, geometric and combinatorial structures. In particular, he intends to use these techniques to study algebraic varieties, convex polytopes and constructive representation theory. 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.