Lectures related to Bernoulli convolutions: The dimension of Bernoulli convolutions

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers various probability distributions and their applications in real-world scenarios.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Covers the theory of sampling, focusing on statistics for mathematicians.

Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.

Covers the basics of probability distributions, including mean, variance, and properties of random variables.

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

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.