Lectures related to Number Theory: Modular Exponentiation Examples

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Explores prime numbers, coprime integers, and their properties in number theory.

Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.

Explores Diffie-Hellman key exchange, ElGamal cryptosystem, and their security applications in cryptography.

Covers the distribution of primes, arithmetic progressions, Mersene primes, and Goldbach's Conjecture.

Covers algorithmic complexity and travel time analysis, focusing on measuring the time taken by algorithms and evaluating their performance.

Explores practical aspects of solving parity games, including winning strategies, algorithms, complexity, determinism, and heuristic approaches.

Covers Shor's factoring algorithm and the link between order finding and factoring.