Abstract: Carbon capture, utilization, and storage (CCUS) is a promising pathway to decarbonize fossil-based power and industrial sectors and is a bridging technology for a sustainable transition to a net-zero emission energy future. This work provides an overview of process systems engineering (PSE) research challenges, advances, and opportunities for CCUS applications. We review PSE methods, tools, and techniques in process modeling, simulation, optimization, control, material screening, strategic planning, and supply chain network design for CO2 management. We also attempt to give a PSE perspective on emerging CCUS research interests in molecular and materials systems engineering, multiscale modeling and optimization, systems design and integration under uncertainty, and the application of intelligent systems. The purpose is not to cover all aspects of PSE research for CCUS but rather to foster discussion by presenting some plausible future directions and ideas.