In classical Iwasawa theory, one studies a relationship called the Iwasawa main conjecture, between an analytic object (the p-adic L-function) and an algebraic object (the Selmer group).  This relationship involves codimension one cycles of an Iwasawa algebra.  The topic of higher codimension Iwasawa theory, initiated by Bleher-Chinburg-Greenberg-Kakde-Pappas-Sharifi-Taylor, seeks to generalize this relationship. We will describe one such result using codimension two cycles, involving elliptic curves with supersingular reduction. This is joint work with Antonio Lei.