 Since thyroid cancer becomes refractory to radioactive iodine, treatment options are very limited. Tyrosine kinase inhibitors such as sorafenib have recently shown promise. This trial seeks to expand treatment options for this disease with a new, oral drug called RAD001. It is an inhibitor of the mTOR pathway and has shown activity in neuroendocrine cancers of the gastrointestinal tract and has been approved for the treatment of metastatic renal cell cancer. 