This post is a link to https://arxiv.org/abs/1301.7116

History’s first whiff of Galois theory. With Ben Blum-Smith. College mathematics journal, 2017. (symmetric polynomials in journal)

Abstract: We describe the fundamental theorem on symmetric polynomials (FTSP), exposit a classical proof, and offer a novel proof that arose out of an informal course on group theory. The paper develops this proof in tandem with the pedagogical context that led to it. We also discuss the role of the FTSP both as a lemma in the original historical development of Galois theory and as an early example of the connection between symmetry and expressibility that is described by the theory.