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Complex Numbers: Gauss-Wantzel Theorem

Covers the Gauss-Wantzel Theorem and Fermat prime numbers.

Completion of a Field: Algebraic Closure

Covers the completion of a field, focusing on algebraic closure and function convergence.

Operator Product Expansion

Explores Operator Product Expansion (OPE) and its role in Conformal Bootstrap.

Explores self-similar groups, invariance under section maps, closures, and topological structures in group theory.

Quantum States and Operators

Covers the description of states in quantum mechanics and their relation to probability, expectation values, and the Schrödinger equation.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Vector Spaces: Properties and Examples

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Vector Spaces: Examples and Subspaces

Covers examples of vector spaces and the concept of subspaces, emphasizing key properties and verification methods.

Octagon Abstract Interpreter: Implementation for C Programs

Explores the implementation of an Octagon Abstract Interpreter for C programs, covering abstract interpretation, octagonal constraints, closures, pointers, and the FrontC parser.

Quantum Physics I

Covers the basics of quantum physics, including vector spaces, state vectors, operators, and measurements.