**Linear Nonalgebra and the Theory of Ungraphs**

*Ada Morse*

This talk will begin with an exploration of what a theory of linear algebra without reference to algebraic operations might look like. Having found a reasonable contender, we will demonstrate its utility by constructing from it the subtheory of graphs without reference to vertex adjacency. Time permitting, we’ll look at a topological generalization of this subtheory.

**Introduction to Fourier Series**

*Dylan Casey*

We’ll begin with Dirichlet’s Problem and derive the Fourier series for specific conditions. While giving us a unique solution to this problem, it raises more questions than it answers, some of which we will address.