I am currently a research assistant working under the guidance of Professor Jie Wang, who will be giving a talk at this event on fractional Chern insulators. My current interests lie in fractional Chern insulators and the geometric aspects of quantum matter. Specifically, I am interested in exploring exactly solvable models that reveal new mechanisms or offer fresh insights into strongly correlated phases of matter. I also aim to obtain rigorous results through formal analysis and to develop new theoretical and numerical tools with well-structured approximation schemes. In a recent collaboration with Prof. Wang and other colleagues, I generalized the Kapit-Mueller model—which realizes lowest Landau level states on a lattice with Gaussian-decaying hopping—to a lattice realization of arbitrary Landau levels. This model provides a platform for exploring exotic many-body phases, such as non-Abelian quantum Hall states, in lattice systems. The work is now available on arXiv:2501.09742.