The goal of this investigation is to determine if, in heavy alcohol users, a single session of transcranial magnetic brain stimulation (TMS) over a brain region involved in craving (medial prefrontal cortex) and a brain region involved in cogntive control (dorsolateral prefrontal cortex) can lower an individual's craving and brain response to alcohol cues. This study involves a screening visit, followed by three visits which involve brain imaging (using functional MRI) and brain stimulation (using TMS). There is also an additional Magnetic resonance spectroscopy (MRS) exploratory Aim in which we will measure the concentration of glutamate in the prefrontal cortex before and after a session of TMS.