Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Discrete Exponentiation ComplexityExplores discrete exponentiation complexity, cyclic groups, and practical cryptography, including popular algorithms like Diffie-Hellman and RSA.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Chinese Remainders & RSAExplores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.
Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Relations in Computer ScienceExplores the properties of relations in computer science, including equivalence relations and the partition of a set.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Montgomery MultiplicationCovers Barrett reduction, Montgomery form of integers, and efficient Montgomery product computation.
