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 ...

algebraic geometry and classical number theory, amongst others. In particular, he studies the relationship between modular forms, elliptic curves and representations of Galois groups. That this is ...

This module studies some of the algebraic structures involved: fields, groups and Galois Theory; rings and commutative algebra, and gives applications to, for example, number theory, roots of ...