Mathematical Sciences: Low-Dimensional Manifolds and Knot Theory

戈登教授将继续研究低维流形的拓扑问题，特别是那些与纽结理论有关的问题。一个将受到关注的特别话题是关于结和环的Dehn手术，这种结构与许多关于三维流形结构的基本问题有关。三维流形的结构是非常自然的几何对象，与我们生活的空间具有相同的维度，对于数学研究来说，它仍然是一个重要的、令人惊讶的神秘课题。

Professor Gordon will continue to investigate problems in the topology of low-dimensional manifolds, especially those related to knot theory. A particular topic that will receive attention is Dehn surgery on knots and links, a construction that is relevant to many fundamental questions concerning the structure of 3-dimensional manifolds. The structure of three-dimensional manifolds, very natural geometric objects of the same dimension as the space in which we live, remains an important and surprisingly mysterious subject for mathematical investigation.