Dung Nguyen is engaged in research within the field of condensed matter theory, with a particular emphasis on the novel topological and geometrical aspects of strongly correlated systems and topological phases of matter. His primary work centres on elucidating the collective behaviour of electrons in the fractional quantum Hall (FQH) effect. Notably, he proposed an effective field theory of gravitons for various FQH states and devised an experimental setup that confirmed the presence of gravitons in the Laughlin state. In recent studies, Nguyen explored vortex crystals in rotating superfluids using fracton-elastic duality and non-commutative field theory—an investigation that encompassed quantum melting phenomena and the fractonic nature of topological excitations. He has also applied symmetric tensor gauge theory to the analysis of skyrmion systems in ferromagnets and employed higher-form symmetry in the study of topological phase transitions in lattice quantum models.