We are currently interested in the following fields in condensed matter physics: (1) Exotic states of matter in two-dimensional (2D) frustrated magnetic systems such as quantum spin liquids, valence-bond solid states, and some new magnetic ordered states; (2) Fractional Quantum Hall effect (FQHE) states in topological flat-band model and 2D electronic systems in magnetic field such as the double-layer FQHE systems; (3) Numerical characterizations of topological ordered states in exact diagonalization (ED) and density-matrix renormalization group (DMRG) simulations; (4) To develop computational condensed matter methods such as ED, DMRG, and variational quantum Monte Carlo (VMC).