Surface-plasmon polaritons (SPPs) are evanescent electromagnetic waves of relatively short wavelength that may be excited on conducting, 2D materials. These waves are macroscopic manifestations of the coupling between the incident radiation and the electron plasma. In this talk, I will discuss recent analytical progress in understanding the effect that geometry, e.g., the presence of sharp edges, may have on features of the SPP. In particular, I will describe how the curvature of the dielectric substrate can influence the SPP dispersion.