THIS PROPOSAL WILL FURTHER DEVELOP BASILISK AND USE IT TO (I) TIGHTLY CONSTRAIN THE GALAXY-DARK MATTER CONNECTION WITH AN EMPHASIS ON THE SCATTER AS FUNCTION OF HALO MASS (II) PROBE THE OCCUPATION STATISTICS OF GALAXIES AS FUNCTION OF THEIR COLOR AND SIZE (III) CONSTRAIN TO WHAT EXTENT GALAXY PROPERTIES ARE CORRELATED WITH HALO CONCENTRATION AT FIXED HALO MASS WHICH IS A MANIFESTATION OF GALAXY ASSEMBLY BIAS (IV) PROBE THE ANISOTROPY OF SATELLITE GALAXIES AS FUNCTION OF HALO MASS AND HALO-CENTRIC RADIUS (V) INVESTIGATE THE ORIGIN OF THE COSMOLOGICAL TENSION ELUDED TO ABOVE BY COMBINING SATELLITE KINEMATICS WITH CLUSTERING AND/OR LENSING AND (VI) PROVIDE TOOLS THAT CAN BE USED WITH FUTURE LENSING DATA TO TEST GENERAL RELATIVITY ON THE SCALE OF DARK MATTER HALOS. AMONG THE DELIVERABLES OF THIS WORK WILL BE A PUBLIC RELEASE OF THE BASILISK CODE AS WELL AS A RICHER MULTI-DIMENSIONAL CHARACTERIZATION OF THE RELATIONSHIP BETWEEN GALAXIES AND THEIR DARK MATTER HALOS. THIS WILL GIVE VALUABLE INSIGHT REGARDING GALAXY FORMATION AND EVOLUTION AND PAVE THE WAY FOR UNBIASED USE OF GALAXY REDSHIFT SURVEYS IN THE PRECISION COSMOLOGY ENDEAVOR.