We are focused on theoretical research concerning diverse physical phenomena that exhibit symmetry and topological phases inherently present in physical systems. Since these properties are preserved even in the presence of impurities or defects, they take an important role in understanding localization-delocalization transitions and critical phenomena in disordered systems. Furthermore, recent significant advancements in the study of symmetry and topological phases in open quantum systems have highlighted the importance of these properties in various fields of physics. Thus, we aim to predict and clarify novel physical phenomena unique to open systems.

In addition, our work is not limited to theoretical research; we are also interested in experimental verification of physical phenomena anticipated based on the knowledge of our theoretical works. Specifically, we aim to bridge theory and experimentation through proposals for experimental verification using systems that implement discrete-time quantum dynamics known as quantum walks. In this way, we explore new possibilities in physics from foundational theories to collaborative research with experimental groups.