Lectures related to Geometric Quantization: Representation Theory

Explores changing bases in vector spaces and the matrix representation of this change.

Visualizing the Fourth Dimension: A Mathematical Journey

Explores visualizing the Fourth Dimension through points, lines, circles, spheres, and punching through, covering vector space properties, dimensionality, bases, and theorems.

Topology of Riemann Surfaces

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

Introduction to Finite Fields

Covers the basics of finite fields, including arithmetic operations and properties.

Matrix Representation of Linear Transformation

Explains the matrix representation of linear transformations between vector spaces.

Group Actions: Equivariance and Functors

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Group Theory: Basics

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.