Lectures related to Fourier Inversion Formula

Explores Dedekind rings, integral extensions, and noetherian rings in algebraic structures.

Explores the equidistribution of CM points and the implications of ergodicity in measure-preserving systems.

Explores the standard form of isometries in R^n and the preservation of distances.

Covers regular and smooth projective varieties, hypersurfaces, and algebraic dimensions.

Covers the theory of Markov chains, focusing on reversible chains and detailed balance.

Introduces Bourgain's Theorem and a lemma related to subsets.

Introduces the basics of structural mechanics, covering plane trusses, internal forces, and equilibrium analysis.