The ADHM moduli space is the discrete light-cone quantization of the six-dimensional (2,0) superconformal field theory. One can deform the latter such that it becomes a quantum field theory on a new kind of non-commutative geometry - one associated with a three-form rather than a two-form deformation. Physicswise, this deformation is associated with fluctuating finite-size open membranes. I discuss how to interpret the resolved ADHM moduli space as a discretized configuration space for open membranes, the interpretation of the cohomology of the space, and how to measure moments of quantum open membranes.