A single-arm, one-stage phase II trial of RAD001 will be undertaken. Sixty patients will be enrolled. The target population will be patients with a diagnosis of low-grade glioma who experience a recurrence and who undergo a biopsy or subtotal resection at the time of recurrence with pathologic evidence of recurrent glioma. The purpose of this study is to accrue patients to evaluate a pharmacologic agent. The study drug RAD001 will be self-administered (by the patients themselves). RAD001 will be administered orally as once daily dose of 10 mg (two 5 mg tablets) continuously from study day 1 until progression of disease or unacceptable toxicity.