Mathematics · Boston College
This course, with MATH8806, will cover the following topics: group theory (group actions, Sylow, nilpotent/solvable, simple groups, Jordan-Holder series, presentations); commutative algebra (uniqueness of factorization, Jordan decomposition, Dedekind rings, class groups, local rings, Spec); finite fields; algebraic numbers; Galois theory; homological algebra; semisimple algebra.