Inclusion Criteria:

1. Patients with advanced, relapsed, or refractory: acute leukemias (AML, ALL), MDS, CMML in transformation with ³ 10% peripheral blood/bone marrow blasts, CML-BP, AMM, CLL, T-cell leukemia, or mantle cell lymphoma.
2. Serum bilirubin less than or equal 2 mg/dL, SGOT or SGPT < 3 X upper limit of normal, serum creatinine less then or equal 2 mg/dL, unless considered due to organ leukemic involvement or Gilbert’s syndrome
3. The effects of RAD001 on the developing human fetus are unknown. For this reason and because inhibitors of mRNA translation are known to be teratogenic, women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) for the duration of study participation. Should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately.
4. Ability to understand and the willingness to sign a written informed consent document.

Exclusion Criteria:

1. Patients who have had cytotoxic chemotherapy (other than hydroxyurea or corticosteroids) or radiotherapy within 7 days prior to entering the study.
2. Patients may not be receiving any other cytotoxic investigational agents.
3. History of allergic reactions attributed to compounds of similar chemical or biologic composition to RAD001. RAD001 must not be administered to patients with known hypersensitivity to everolimus, sirolimus or to any of its excipients. Excipients include butylated hydroxytoluene, magnesium stearate, hydroxypropylmethyl-cellulose, crospovidone, and lactose.
4. Uncontrolled intercurrent illness including, but not limited to, ongoing or active infection, symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, or psychiatric illness/social situations that would limit compliance with study requirements.
5. Pregnant women are excluded from this study because RAD001 has a potential for teratogenic or abortifacient effects. Because there is an unknown but potential risk for adverse events in nursing infants secondary to treatment of the mother with RAD001, breastfeeding should be discontinued if the mother is treated with RAD001.