Mathematical Sciences: Selberg-Jack Symmetric Functions, theq-Macdonald-Morris Conjecture, and Extension of the q-Dyson Theorem

该奖项支持卡德尔教授在组合学方面的研究。 具体来说，他将继续研究 Selberg-Jack 对称函数的性质。 这项研究是正交多项式理论更一般研究的一部分。 此外，卡德尔教授正在将标准代数机制应用于这些组合思想的研究中，从而将这些组合结果放入代数的一般背景中。 组合学一般领域的研究。 组合学试图找到有效的方法来研究如何组织离散集合。 离散系统的行为对于现代通信极其重要。 例如，电话系统等大型网络的设计以及计算机科学中的算法设计都涉及离散对象，而这都利用了组合研究。

This award supports the research of Professor Kadell to work in combinatorics. Specifically, he will continue his investigations into the properties of the Selberg-Jack symmetric functions. This research is part of more general investigations of the theory of orthogonal polynomials. Moreover, Professor Kadell is bringing to bear standard algebraic machinery into the study of these combinatorial ideas, thereby placing these combinatorial results into the general context of algebra. The research in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections can be organized. The behavior of discrete systems 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 all deal with discrete objects, and this make use of combinatorial research.