Roya Beheshti Zavareh

This is an introductory graduate-level course on the basic structures and methods of algebra. A detailed survey of group theory, including the Sylow theorems and the structure of finitely generated abelian groups, followed by a study of rings, modules, fields, and Galois theory.

The course includes entire functions, gamma and zeta functions, the Prime number theorem, Riemann mapping theorem, elliptic functions, and other topics as time permits.