Lectures related to Polynomial Identity Testing

Covers the concept of graph sketching with a focus on connected components.

Explores Cheeger's inequality and its implications in graph theory.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Covers the basics of polynomials, focusing on rings, operations, and properties.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

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

Explores polynomial operations, properties, and subspaces in vector spaces.