While challenging historical and important unsolved problems in the field of analysis, the center focuses on partial differential equations and function analysis, especially research related to "operator" which is their core research topic, as the fields of research that will lead the new flow of research at the global level. Research related to operator, a central research keyword in the field of partial differential equations and function analysis, will provide the key to solving mathematical problems that have not been resolved yet and lead to innovative spillover effects to other fields of research.