Eric Chavez

Thesis Advisor: Dr. Sam Nelson (Claremont McKenna College - Department of Mathematical Sciences)

Second Reader: Dr. Francis Su (Harvey Mudd College - Department of Mathematics)

Contact: echavez@g.hmc.edu

Calculating Knot-Theoretic Involutory Tribrackets

Knot invariants are a ubiquitous idea in the wide world of knot theory. My project focuses on one such invariant, the involutory tribracket, and developing an algorithm that can calculate them given a knot. With this, we will be able to answer fundamental questions about the tribracket structure, as well as explore how it relates to other areas in knot theory and beyond.