Algebraic Combinatorics

小行星9401575 该奖项资助约翰·斯坦布里奇教授将组合方法应用于代数问题的研究。 目标是产生算法方法，用于产生某些生成函数，枚举从代数研究中获得的简化表达式，以及构建特定的基础。 结果应在代数，数论和代数几何中的应用。 这项研究福尔斯属于广义的组合学范畴， 这是当今数学中最活跃的领域之一。从根本上说，组合学是对系统计数的研究。 当物体被放置在 很难列出，组合学家寻找通用的方法 克服这些困难。 今天的组合数学使得 采用各种最先进、最现代的 数学技术 虽然它的根源可以追溯到几个 在过去的几个世纪里，该领域在过去的几十年里有了爆炸性的发展。 这一增长来自于其在 从现代技术的成功到计算的问题。

9401575 Stembridge This award funds the research of Professor John Stembridge into applications of combinatorial methods into problems of Algebra. The goal is to produce algorithmic methods for producing certain generating functions, enumerating reduced expressions obtained from studies of algebra, and constructing particular bases. The results should have applications in algebra, number theory and algebraic geometry. This research falls in the broad category of combinatorics, which is one of the most active fields in today's mathematics. At its roots, combinatorics is the study of systematic counting. Counting can be incredibly difficult when the objects are difficult to list, and combinatorists look for general methods for overcoming these difficulties. Today's combinatorics makes use of a wide variety of the most advanced and modern mathematical techniques. Although its roots go back several centuries, the field has had an explosive development in the past few decades. This growth comes from its importance in communications and information technology and from the success of modern techniques to problems of counting.