Galois Theory is a branch of abstract algebra that studies the symmetries of roots of polynomial equations through the concept of groups. It provides a powerful framework for understanding field ...

Galois theory; Homological algebra; Semisimple algebra. The MATH 8808-8809 sequence will cover the following topics: Point-set topology, fundamental group and covering spaces, smooth manifolds, smooth ...

Modular Forms: Complex functions that are invariant under certain transformations and have applications in number theory, particularly in the study of elliptic curves and partitions. Galois ...