Explore the emerging field of 'DNA mathematics' in this lecture on topological problems associated with DNA nanostructures. Delve into the modeling and analysis of structures obtained through bottom-up assembly and the self-assembly process. Examine a range of topological questions related to experimentally built assemblies, covering topics from topological graph theory and DNA strand routing in three-dimensional meshes to knot theory and structural embeddings in 3D. Gain insights into how DNA self-assembly has sparked new mathematical inquiries and applications in the realm of nanotechnology.