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Abstract: Polarized thermal dust emission arises from the magnetic alignment of interstellar dust grains. Galactic dust emission is a significant foreground to cosmological signals, including searches for parity violation in the cosmic microwave background (CMB). This talk explores the statistical properties of the observed Galactic dust polarization. I introduce several empirical correlations between dust and neutral hydrogen (HI) emission, and a model for polarized dust emission based on the morphology of HI. I discuss the evidence that the measured TE and EE/BB correlations in dust emission are driven by the preferred alignment between dust filaments and the magnetic field in the diffuse interstellar medium (ISM), and that small misalignments between filaments and the magnetic fields can give rise to nonzero TB and EB dust signals. I discuss how this framework motivates a prediction for the intrinsic dust EB over particular sky masks: an important foreground for analyses of parity-odd signals in the CMB.