Lectures related to Monstrous Moonshine

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores subsets and subgroups related to group actions on sets.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.