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 ...

The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...

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 ...