Current debates in cosmology research focus on several key topics, including the nature of dark matter and dark energy, the origins of the Big Bang, and the formation of supermassive black holes and their relationship to galaxy formation. The polarization of the Cosmic Microwave Background (CMB) is an area of active investigation, particularly regarding primordial B-mode polarization, which may shed light on inflation. Gravitational wave astronomy, initiated by LIGO's detections, is expected to enhance our understanding of the universe's expansion. Additionally, large-scale structure formation and the dynamics of galaxies are critical challenges, with ongoing observational and modeling efforts. The emergence of next-generation telescopes and surveys promises to significantly advance our knowledge of cosmology in the coming years.