MATH 482
Homological Algebra Fall 2019
Division III Quantative/Formal Reasoning

Class Details

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.
The Class: Format: lecture
Limit: 20
Expected: 12
Class#: 1594
Grading: no pass/fail option, yes fifth course option
Requirements/Evaluation: homework and exams
Prerequisites: MATH 355
Enrollment Preferences: junior and senior math majors
Unit Notes: this course is not a senior seminar, so it does not fulfill the senior seminar requirement for the Math major
Distributions: Division III Quantative/Formal Reasoning

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