Lectures related to Optimal Transport: Cyclically Monotone Sets

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores convex sets, their properties, and applications in optimization.

Covers the KKT conditions and convex optimization, discussing constraint qualifications and tangent cones of convex sets.

Local Homeomorphisms and Coverings

Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.