Lectures related to The Two-Holed Torus

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

A Conjecture of Erdös: Proof by Moreira, Richter and Robertson

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Quantum Eigenfunctions

Covers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.

Signal Representations

Explores wavelets as orthonormal bases for piecewise constant signals over unit intervals.

Thermodynamic formalism for coarse expanding dynamical systems

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Introduction to Category Theory: Examples

Introduces the theory of categories through examples and discusses the product of categories.