Mathematical Sciences: Combinatorics: Ultrafilters, Semigroups and Ramsey Theory

该奖项支持N. Hindman教授在组合学方面的研究。他打算研究离散半群上所有超滤子集合的代数结构及其组合应用。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 N. Hindman to work in combinatorics. He intends to investigate the algebraic structure of the set of all ultrafilters on a discrete semigroup and combinatorial applications of this structure. 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.