Mathematical Sciences: Low-Dimensional Manifolds and Knot Theory

戈登教授将继续研究 低维流形的拓扑，尤其是那些 与纽结理论有关。 一个特定的主题， 注意是Dehn手术的结和链接，一个建设， 与许多基本问题有关， 三维流形的结构 三维流形的结构，非常自然 与我们所在的空间具有相同维度的几何物体， 生活，仍然是一个重要的和令人惊讶的神秘主题 进行数学研究。

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.