Mathematical Sciences: Presidential Young Investigator Award

这项总统青年研究人员奖支持密歇根大学约翰·斯坦布里奇教授的研究。斯坦布里奇博士的研究计划涉及代数组合学和群表示理论之间的关系，以及将组合学技术应用于更遥远的数学分支中的问题的其他研究。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 Presidential Young Investigator Award supports the research of Professor John Stembridge of the University of Michigan. Dr. Stembridge's research plan involves the relationship between algebraic combinatorics and the theory of group representations, as well as other studies that bring the techniques of combinatorics to bear on problems in more distant branches of mathematics. 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.