  We prove a number of results on the structure and representation theory of
the rational Cherednik algebra of the imprimitive reflection group
$G(\ell,p,n)$. In particular, we: (1) show a relationship to the Coulomb branch
construction of Braverman, Finkelberg and Nakajima, and 3-dimensional quantum
field theory; (2) show that the spherical Cherednik algebra carries the
structure of a principal Galois order; (3) construct a graded lift of category
$\mathcal{O}$ and the larger category of Dunkl-Opdam modules, whose simple
modules have the properties of a dual canonical basis and (4) give the first
classification of simple Dunkl-Opdam modules for the rational Cherednik algebra
of the imprimitive reflection group $G(\ell,p,n)$.
