Title: Recent progress on galaxy-halo connection

Abstract: The so-called galaxy--halo connection is a vast topic concerning how galaxies populate their host dark matter halos.  I will present some works we have made under this grand theme, including (1) the detection of assembly bias signal with the help of constrained simulation Euclid, (2) a graphic neural network model that can accurately predict the stellar mass and color of galaxies at redshift z=0-5 based purely on dark matter subhalo properties along the whole merger tree, (3) a novel way to study the redshift evolution of the stellar mass-halo mass relation, and (4) a unique method to estimate the host halo mass simply by counting the number of neighboring galaxies for a single galaxy.