Topological Problems Associated with DNA Nanostructures

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.