The Event Horizon Telescope is a project to observe and eventually image the Schwarzschild radius-scale structure around nearby supermassive black holes using 1.3 mm VLBI. Observations in recent years have made use of telescopes in Hawaii, Arizona, and California, with telescopes in Chile and Europe likely to participate in future observing sessions as well. Sensitivity upgradesincluding an ongoing project to phase up the ALMA array-and increased baseline coverage will soon make imaging a reality. In the meantime, non-imaging observations have been successful in producing scientific results. This contribution reports on three recent results: the detection of Schwarzschild radius-structure in the 1.3 mm emission from the black hole in the center of M87, which strongly supports the existence of an accretion disk rotating in a prograde sense around a rotating black hole; the detection of nonzero closure phases in AGN sources such as 1924−292, which allow their submilliarcsecond structure to be modelled; and the detection of cross-polarized fringes, which hints at complicated linear polarization structure in at least one source.