This chapter explores the topological effects that emerge in the electrohydrodynamics of two-dimensional materials. It begins with an examination of Berry plasmons and their role in influencing the electrostatic wave behaviour of Dirac materials. Both single-particle and collective contributions are analysed, revealing how topological properties such as Berry curvature impact the dynamics of plasmons. The chapter then focuses on topological waves at magnetic interfaces, where inviscid and Hall-viscous regimes are considered. The unique properties of these topological waves are explored in detail, with a particular focus on their stability and the role of topological charges. Numerical simulations and analytical models are used to crossvalidate the theoretical framework, providing a comprehensive understanding of how topological effects can be harnessed in future electronic and photonic devices. This chapter contributes to the growing field of topological plasmonics, offering new insights into the interplay between topology and hydrodynamic behaviour in 2D materials.