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 Form: A complex analytic function that satisfies certain transformation properties and is holomorphic on the upper half-plane, playing a crucial role in number theory. Galois ...

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 ...