Post-starburst (PSB) galaxies are quiescent galaxies whose star-formation rates had dropped rapidly in the recent past thus good proxies to study quenching. They are traditionally selected by spectra. Therefore, comparing samples across redshifts are complicated by different spectroscopic apertures. I start from PSB galaxies in the MaNGA IFU survey at z=0, using the spectra integrated over the entire IFU. The large aperture mitigates the severe aperture bias with fiber spectra on low-z galaxies. I show that most of the PSB galaxies appear to have a fading compact star-formation event in the central 1 kpc. I then present the sample at z~1 identified by the LEGA-C survey. PSB galaxies at z~1 show overall stronger Balmer absorption at the center. Smaller ones are also bluer. Central compact star formation before quenching can explain these features of PSB galaxies at z=1. I will discuss the mechanisms, possible improvements, and new opportunities.