  Recently, Bigelow defined a diagrammatic method for calculating the Alexander
polynomial of a knot or link by resolving crossings in a planar algebra. I will
present my multivariate version of Bigelow's calculation. The advantage to my
algorithm is that it generalizes to a multivariate tangle invariant up to
Reidemeister I. I will conclude with a possible link to subfactor planar
algebras from the work of Jones and Penneys.
