  We will describe how we can identify the structure of the Koszul algebra for
trivariate monomial ideals from minimal free resolutions. We use recent work of
L. Avramov, where he classifies the behavior of Bass numbers of embedding
codepth 3 commutative local rings. His classification relies on a corresponding
classification of their respective Koszul algebras, which is comprised of 5
categories. Using Avramov's classification of the Koszul algebra, along with
their respective Bass series we will learn how to identify the Koszul algebra
structure by inspecting the minimal free resolution of the quotient ring. We
give a complete classification of the Koszul algebra for generic monomial
ideals and offer several examples. In addition we will describe a class of
ideals with a specific Koszul algebra structure which was previously unknown.
