My focus lies in condensed matter theory, with particular emphasis on the novel topological and geometrical aspects of strongly correlated systems and topological phases of matter. My primary research centres on understanding the collective behaviour of electrons in the fractional quantum Hall (FQH) effect. Notably, I proposed an effective field theory of gravitons in various FQH states and introduced an experimental setup that successfully verified the presence of gravitons in the Laughlin state. In recent work, I studied vortex crystals in rotating superfluids using fracton-elastic duality and non-commutative field theory. This exploration included quantum melting scenarios and the fractonic nature of topological excitations. I also applied symmetric tensor gauge theory to analyse skyrmion systems in ferromagnets and used higher-form symmetry to investigate topological phase transitions in lattice quantum models. Expanding my research scope, I have explored the electromagnetism of twisted materials through effective field theory formalism.