  The Robo-AO Kepler Planetary Candidate Survey is observing every Kepler
planet candidate host star (KOI) with laser adaptive optics imaging to hunt for
blended nearby stars which may be physically associated companions. With the
unparalleled efficiency provided by the first fully robotic adaptive optics
system, we perform the critical search for nearby stars (0.15" to 4.0"
separation with contrasts up to 6 magnitudes) that dilute the observed
planetary transit signal, contributing to inaccurate planetary characteristics
or astrophysical false positives. We present 3313 high resolution observations
of Kepler planetary hosts from 2012-2015, discovering 479 nearby stars. We
measure an overall nearby star probability rate of 14.5\pm0.8%. With this large
data set, we are uniquely able to explore broad correlations between multiple
star systems and the properties of the planets which they host, providing
insight into the formation and evolution of planetary systems in our galaxy.
Several KOIs of particular interest will be discussed, including possible
quadruple star systems hosting planets and updated properties for possible
rocky planets orbiting with in their star's habitable zone.
