The Secret Algebraic Lives of Graphs

This will be a talk about graphs, i.e., finite simple graphs (networks with finitely many nodes and no loops or multi-edges). I will discuss how one can use algebra to understand certain aspects of these objects (e.g., aspects of graph domination problems), and how one can use graphs to understand certain esoteric algebraic concepts like the Cohen-Macaulay property. This talk will be accessible to a broad audience including beginning graduate students and advanced undergraduate math majors. In particular, I will not assume that audience members are familiar with these esoteric algebraic concepts.

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