Mathematical Sciences: Oriented Matroids and Radon Partitions

该奖项支持乔治梅森大学詹姆斯·劳伦斯教授在组合学方面的研究。Lawrence博士的项目是研究欧氏空间中有限集的Radon划分的概念，并在定向拟阵的背景下推广和推广这一概念。这项研究属于组合学的广泛范畴，它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个--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利用各种先进的数学技术，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 Combinatorics of Professor James Lawrence of George Mason University. Dr. Lawrence's project is to investigate the concept of a Radon partition of a finite set in Euclidean space, and to generalize and extend this concept in the context of oriented matroids. 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.