  With the advent of modern neutrino and gravitational wave detectors, the
promise of multi-messenger detections of the next galactic core-collapse
supernova has become very real. Such detections will give insight into the
core-collapse supernova mechanism, the structure of the progenitor star, and
may resolve longstanding questions in fundamental physics. In order to properly
interpret these detections, a thorough understanding of the landscape of
possible core-collapse supernova events, and their multi-messenger signals, is
needed. We present detailed predictions of neutrino and gravitational wave
signals from 1D simulations of stellar core collapse, spanning the landscape of
core-collapse progenitors from $9-120\,\mathrm{M}_{\odot}$. In order to achieve
explosions in 1D, we use the STIR model, which includes the effects of
turbulence and convection in 1D supernova simulations to mimic the 3D explosion
mechanism. We study the gravitational wave emission from the 1D simulations
using an astroseismology analysis of the proto-neutron star. We find that the
neutrino and gravitational wave signals are strongly correlated with the
structure of the progenitor star and remnant compact object. Using these
correlations, future detections of the first few seconds of neutrino and
gravitational wave emission from a galactic core-collapse supernova may be able
to provide constraints on stellar evolution independent of pre-explosion
imaging and the mass of the compact object remnant prior to fallback accretion.
