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Topological band theory and (fractional) quantum Hall effect
Advanced numerical method for solving many-body physics
Time-periodically driven system
Moire materials and moire-induced quasi-periodic order
Proposed the oblique space-time crystal, the Floquet-Bloch oscillation, and the Floquet quantum acoustoelectric effect
Formulated the semi-classical theory for Floquet-Bloch electrons
Proposed a model for realizing the fractional Chern insulator in mono-layer graphene
Applied the bootstrap principle to the quantum Hall system
Quantum information and computation
Non-hermitian quantum system
Mechaine learning in physics