Graduate level linear and abstract algebra including rings, fields, modules, some algebraic number theory and Galois theory. (2nd of two courses)
Text at the level of Abstract Algebra, by Dummitt & Foote, 3rd edition, Wiley
The course will be useful for preparation for the comprehensive exam, but it is not required. It deepens the understanding of several topics covered in 6121 and introduces the new concepts in one of the following areas that are foundational to modern algebra.
Algebraic number theory
The instructor shall advertise the list of topics soon after the teaching assignment for this course is made.