Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Forcing of Topological EntropyDelves into topological entropy in compact manifolds and Reeb flows, emphasizing the forcing of entropy via cylindrical contact homology.
Local FramesCovers the concept of local frames, their construction, and limitations.
Optimization on ManifoldsCovers optimization on manifolds, focusing on smooth manifolds and functions, and the process of gradient descent.