Optimal Transport: Gradient FlowsExplores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.
Metric spaces: topologyCovers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.
Normed SpacesCovers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.