Mathematical Sciences: Combinatorics: Ultrafilters, Semigroups and Ramsey Theory

该奖项支持霍华德大学尼尔·辛德曼教授在拉姆齐理论方面的研究。Hindman博士的研究将集中在组合分拆理论和左拓扑半群理论的研究上。这项研究属于组合学的广泛范畴，这是当今数学中最活跃的领域之一。从根本上说，组合学代表了对所有数学活动——计数——的系统化。然而，在其现代发展中，组合学已经不仅仅是计算，而是利用了各种各样的先进数学技术，尽管它的根源可以追溯到几个世纪以前，但由于它在通信和信息技术中的重要性，该领域在过去的几十年里有了爆炸性的发展。

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.