ABSTRACT: Strongly lensed supernovae are highly valuable cosmological probes, sensitive to both the Hubble constant and the distribution of dark matter. Measuring time delays in strong lensing systems allows for independent measurements of the Hubble constant, providing a mechanism to resolve the current Hubble tension. These time delays are also sensitive to the dark matter substructures located along the line of sight. Microlensing effects from stars in the lensing galaxy can contaminate measurements of the time delays, making some methods for measuring time delays unreliable. We consider methods for measuring time delays with both Type Ia and Type II-P supernovae by simulating spectra in microlensing systems. Both types of supernovae may be effectively used to measure the Hubble constant, especially with the number of detections that are expected with LSST and the Roman Space Telescope. These measurements can also be used to constrain the properties of dark matter substructure given a sufficient number of systems. We’ve also been working on understanding the local distributions of dark matter using an “acceleration ladder” built using local direct acceleration measurements combined with dynamical constraints on the Milky Way potential.