My research field is to study quantum gravity through the holographic principle. This field lies at the intersection between many different aspects of theoretical physics, including quantum information, statistical physics, quantum field theory and gravity, and belongs to the large community of string theory. My collaborators and I have focused on the holographic theory of general space-times, we extended our understanding of the holographic principle beyond the AdS space-time, and discovered new holographic relation between entanglement and geometry, leading a new research direction. Another research direction of mine is the study of the partial entanglement entropy, which describes how much a subset of a region contributes to the entanglement entropy of that region. It has been applied to the study of both holography and condense matter theories by several groups of researchers abroad. In the context of partial entanglement entropy, I defined the balanced partial entanglement entropy, which gives the entanglement wedge cross-section and generalizes the reflected entropy to generic purifications. I am also interested in the island formula, both from the holographic and quantum information perspective.
