纽结理论是现代数学的重要分支，在材料科学、理论物理学和分子生物学等领域有着广泛应用。近年来国际上纽结理论的应用研究呈现出蓬勃发展的态势。我国对纽结不变量等纽结基础理论的研究有着悠久的历史和传统，但在纽结理论的应用研究方面几乎是空白。本讲习班将开设4门短课程，包括纽结理论基础及应用、应用拓扑学基础、纽结理论在DNA超螺旋结构中的应用、分子生物学基础，并举办多场相关领域的学术报告和科研讲座。项目的实施旨在向国内青年学者和研究生介绍相关的基础理论以及前沿学术动态，搭建学术交流的平台，促进纽结理论与其他学科交叉合作，为推动国内纽结理论应用学科领域的发展做出应有的贡献。

Knot theory is an important branch of modern mathematics, which has wide applications in material science, theoretical physics and molecular biology. In recent years, applications of knot theory have been developed rapidly. In our country, the study of knot theory such as knot invariants has a long history, but study on applications of knot theory is almost empty. There will be four short courses in this workshop, including introduction to knot theory and its applications, introduction to applied topology, applications of knot theory in DNA supercoil structure and introduction to molecular biology, as well as a number of academic lectures in related fields. The purpose of this project is to introduce the basic theories and academic developments to young scholars and graduate students and build a platform for academic exchanges. This will make a due contribution to promoting the development of knot theory and its applications.