Explore the fascinating intersection of topology and neuroscience in this one-hour lecture by Kathryn Hess. Delve into a comprehensive overview of topological applications across various scales of neuroscience, from individual neurons to entire brain regions. Discover ongoing collaborations with the Blue Brain Project, focusing on topological analysis of digitally reconstructed microconnectomes and the classification of neuron morphological types. Gain insights into the application of topological methods in brain imaging data analysis, bridging the gap between abstract mathematical concepts and cutting-edge neuroscientific research.