Mathematical Sciences: Combinatorics: Partially Ordered Sets, Permutations, and Representation Theory

该奖项支持哈弗福德学院柯蒂斯·格林教授在代数组合学方面的研究。格林博士的项目是继续他在与偏序集、画面和对称群的表示相关的许多领域的工作。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，组合学代表着对所有数学活动中的第一项--计数--的系统化。然而，在它的现代发展中，组合数学已经不仅仅是计数，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前，但由于它在通信和信息技术中的重要性，该领域在过去几十年里有了爆炸性的发展。

This award supports the research in algebraic combinatorics of Professor Curtis Greene of Haverford College. Dr. Greene's project is to continue his work in a number of areas related to partially ordered sets, tableaux, and representations of the symmetric group. 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.