With the detection of compact binary coalescences and their
electromagnetic counterparts by gravitational-wave detectors, a new
era of multi-messenger astronomy has begun. In this talk, I will
describe how the gravitational-wave community is using these mergers
to constrain the unknown equation of state of cold supranuclear
matter, and to measure the Hubble constant. I will then discuss how
current ground based optical surveys and dedicated follow-up systems
are being used to identify more of these, and how we are developing
models to test what we find. We will close with near-term prospects
for the field.