Exploration of topological materials is a central theme of modern quantum condensed matter physics, and it is currently encountering new horizons. Traditionally, the field has focused on static and DC-transport properties, based on the understanding that topological phases are defined by ground-state properties. However, this talk will spotlight an emerging topic: the dynamic properties of topological materials. Through studying light-matter interactions, I will demonstrate how we can use dynamic properties to shed light on the topological properties of materials and bridge these to broader quantum phenomena. In particular, I will highlight intriguing optical phenomena in topological magnets and superconductors.