Plasma carrying a spectrum of counter-propagating field-aligned ion-cyclotron waves can strongly and preferentially heat ions through a stochastic Fermi mechanism. Such a process has been proposed to explain the extreme temperatures, temperature anisotropies, and speeds of ions in the solar corona and solar wind. We quantify how differential flow between ion species results in a Doppler shift in the wave spectrum that can prevent this strong heating. Two critical values of differential flow are derived for strong heating of the core and tail of a given ion distribution function. Our comparison of these predictions to observations from the Wind spacecraft reveals excellent agreement. Solar wind helium that meets the condition for strong core heating is nearly seven times hotter than hydrogen on average. Ion-cyclotron resonance contributes to heating in the solar wind, and there is a close link between heating, differential flow, and temperature anisotropy. Introduction.-The solar corona and solar wind are so tenuous that wave-particle interactions can dominate over fluid or collisional processes, resulting in highly nonthermal plasma as seen by spacecraft in interplanetary space. Heavier ions escape from the Sun at higher speeds than the ionized hydrogen (H + ) that dominates the solar wind. Within a given solar wind stream, different species flow through one another at speeds of up to several hundred km s −1 [1,2]. This differential flow appears to be stable as long as it is aligned with the local magnetic field B and below the Alfvén wave speed C A [3,4]. Heavier ions are also often much hotter than H + , with temperatures reaching and often exceeding mass proportionality [5][6][7][8]. These non-thermal properties can be used to identify the role wave-particle interactions play in heating the corona and solar wind [9][10][11]. If we can understand the underlying physics, we will be able to predict the relative heating of ions and electrons in the solar wind, the corona and other magnetized plasmas.