I'm a third-year PhD student at HKU. I have studied the spectral properties of a model fractional Chern insulator (FCI) and demonstrated its implications for phase transitions using DMRG and the time-dependent variational principle (TDVP). In our FCI model, we revealed an FCI–charge density wave (CDW) transition triggered by the softening of magneto-rotons, and we captured the chiral graviton mode using phenomenological chiral quadrupolar operators. I'm also interested in the fractionalisation of crystalline symmetry in topological phases, where discrete crystalline symmetries enable fractionalised responses to topological defects. Additionally, I have worked on superconductivity in twisted bilayer graphene, using the random phase approximation (RPA) to explore its pairing mechanisms.