Mathematical Sciences: Combinatorial Aspects of Representation Theory & the Theory of Symmetric Functions

该奖项支持A教授的研究。加西亚到 从事组合学研究 他打算调查 有限反射群，特别是，问题来自 研究麦克唐纳基础。 他还将研究轨道谐波 和分次表示和q，t-Kostka系数 双阶化模 该研究是在组合学的一般领域。 组合数学试图找到有效的方法来研究如何 可以组织对象的离散集合。 所以， 对现代通信非常重要，例如 大型网络的设计，如电话系统和 计算机科学中的算法

This award supports the research of Professor A. Garsia to work in combinatorics. He intends to investigate representations of finite reflection groups, in particular, problems derived from studying the Macdonald basis. He will also study orbit harmonics and graded representations and the q,t-Kostka coefficients of bigraded modules. The research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.