Mathematical Sciences: Combinatorics: Ultrafilters, Semigroups and Ramsey Theory

该奖项支持拉姆齐理论的研究， 霍华德大学的尼尔·欣德曼教授。欣德曼医生的 研究将集中在有关组合的调查 划分理论和左拓扑半群理论。 这项研究福尔斯属于组合学的大范畴， 这是当今数学中最活跃的领域之一。 从根本上说，组合数学代表了一个系统化的 首先是数学活动，计数在其 然而，现代的发展，组合数学已经不仅仅是 计数利用各种先进的数学 技术，虽然它的根源可以追溯到几个世纪， 在过去的几十年里， 因为它在通信和信息方面的重要性， 技术.

This award supports the research in Ramsey Theory of Professor Neil Hindman of Howard University. Dr. Hindman's research will center on investigations relating combinatorial partition theory and the theory of left-topological semigroups. This research falls in the broad category of Combinatorics, which is one of the most active fields in today's mathematics. Fundamentally, Combinatorics represents a systematization of the very first of all mathematical activities, counting. In its modern development, however, Combinatorics has gone beyond just counting to make use of a wide variety of advanced mathematical techniques, and although its roots go back several centuries, the field has had an explosive development in the past few decades because of its importance in communications and information technology.