I'm now a reserch assistant and I'm under the guidance of Prof. Jie Wang, who will be giving a talk in this event on fractional Chern insulators. My current interests lies on frctional Chern insulators and geometric aspects of matter. Specifically, I'm interested in exploring exactlly solvable models that reveal new mechanism or shine new insights on strongly correlated phases of matter, obtaining rigorous results from formal analysis, and developig new possible theory and numerical tools with proper approximation scheme. In recent collaboration with Prof. Wang and other collaborators, I generalized Kapit-Mueller model, which realized lowest Landau level states on lattice with gaussian decay hopping, to lattice realization of any arbitrary Landau level. This model can help explore exotic many-body phases, such as non-abelian quantum Hall states, in lattice system. The paper is now accessible at arXiv:2501.09742.