Mathematical Sciences: Problems in Classical Knot Theory

首席研究员目前正在处理两个领域 的研究。 首先是卡森-戈登型的应用 链接一致性问题的不变量，特别是， 与边界连接有关的问题。 的第二区域 研究是周期性的结和对称性的研究， 流形 这两个领域都需要代数工具的发展 用来描述节点和链接， 不同的节点和链接， 提出了 应用这些工具对节点和链接进行分类 在某种自然等价物中是一个主要目标。

The principal investigator is currently addressing two areas of research. The first is the application of Casson-Gordon type invariants to problems in link concordance, and, in particular, to questions relating to boundary linking. A second area of research is the study of periodic knots and symmetries of manifolds. Both areas require the development of algebraic tools for describing knots and links and for distinguishing truly distinct knots and links from ones which are merely differently presented. Application of such tools to classify knots and links to within some natural equivalence is a major goal.