MATH 367
Homological Algebra Spring 2016
Division III Quantitative/Formal Reasoning
This is not the current course catalog

Though a relatively young subfield of mathematics, Homological Algebra has earned its place by supplying powerful tools to solve questions in the much older fields of Commutative Algebra, Algebraic Geometry and Representation Theory. This class will introduce theorems and tools of Homological Algebra, grounding its results in applications to polynomial rings and their quotients. We will focus on some early groundbreaking results and learn some of Homological Algebra’s most-used constructions. Possible topics include tensor products, chain complexes, homology, Ext, Tor and Hilbert’s Syzygy Theorem.