 Topiramate is a medication that has been approved by the Food and Drug Administration FDA for the treatment of patients with seizures. The trade name for this drug is Topamax. Topiramate has not been approved by the FDA for the treatment of cluster headache and is experimental for the purposes of this research study. If a subject participates in this study, heshe will increase hisher dose of topiramate rapidly in the first few weeks to try to stop the cluster attacks and then will continue on a maintenance dose of topiramate in order to determine if it can prevent attacks from occurring during that cluster period. We believe that this will lead not only to a faster but a more complete remission of the cluster period. 