Mathematical Sciences: Studies in Algebraic Combinatorics

该奖项支持理查德·斯坦利教授在代数组合学领域的研究。Stanley将继续他在两个主要领域的研究：(a)凸多面体和相关几何对象，以及它们与代数、几何和拓扑的联系；(b)对称函数、表示理论及其在组合学中的应用。这项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离散的对象集合如何排列。离散系统的行为对现代通信极为重要。例如，大型网络的设计，比如那些出现在电话系统中的网络，以及计算机科学中处理离散对象集的算法设计，这就利用了组合研究。

This award supports the research of Professor Richard Stanley in the field of algebraic combinatorics. Stanley will continue his research in two main areas: (a) convex polytopes and related geometric objects, and their connections with algebra, geometry and topology, and (b) symmetric functions, representation theory, and their applications to combinatorics. This research is in the general area of Combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be arranged. The behavior of discrete systems is extremely important to modern communications. For example, the design of large networks, such as those occurring in telephone systems, and the design of algorithms in computer science deal with discrete sets of objects, and this makes use of combinatorial research.