Mathematical Sciences: Two Problems in Algebraic Combinatorics

该奖项支持P. Hanlon教授在组合学方面的研究。他打算研究幂零李代数同调上的麦克唐纳根猜想。此外，他还将研究一般化的图书馆问题。这项研究是在组合学的一般领域。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信非常重要，例如电话系统中大型网络的设计以及计算机科学中算法的设计。

This award supports the research of Professor P. Hanlon to work in combinatorics. He intends to investigate the Macdonald root system conjecture on homology of nilpotent Lie algebras. In addition, he will work generalized library problems. 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.