  We determine the mathematical structures which govern the $\Omega$
deformation of supersymmetric intersections of M2 and M5 branes. We find that
the supersymmetric intersections govern many aspects of the theory of
W-algebras, including degenerate modules, the Miura transform and Coulomb gas
constructions. We give an algebraic interpretation of the Pandharipande-Thomas
box counting in $\mathbb{C}^3$.
