Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.
Covers Shor's factoring algorithm, aiming to find integer factors efficiently using quantum computation.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.
