The future NASA mission HelioSwarm will launch a configuration of nine co-orbiting spacecraft whose goal is to study basic plasma processes which are present in near-Earth plasmas. Each of these spacecraft will have a magnetometer instrument which makes in-situ measurements of magnetic fields. As magnetic fields play a critical role in the dynamics of plasmas, inferring magnetic field structure across the HelioSwarm observatory is a necessary step towards characterizing fundamental plasma processes. We examine mathematical techniques that can be used to either infer magnetic field topology and statistics across a multi-spacecraft configuration, or to identify wave-like signatures using a multi-spacecraft observatory.