Inclusion Criteria:

1. B-cell non-Hodgkin's lymphoma(NHL) involving the brain, as demonstrated by contrast-enhanced Magnetic resonance imaging (MRI) and histologic confirmation by one of the following within 6 weeks prior to registration:

* A positive cerebral spinal fluid (CSF) cytology for lymphoma or a monoclonal lymphocyte population as defined by cell surface markers
* A biopsy of the vitreous or uvea demonstrating non-Hodgkin's lymphoma
* Brain biopsy

Note: Patients in whom the type of lymphoma could not be determined or is unknown (eg, not enough tissue for further analysis) are assumed to have a B cell lymphoma and are eligible.
2. The patient must agree to submit tissue (i.e., the original H/E stained slides and immunohistochemistry studies) for central pathology review post-registration.
3. No evidence of systemic non-Hodgkin lymphoma as demonstrated by a computed tomography (CT) scan of the chest, abdomen and pelvis within 6 weeks prior to registration (Note: Bone marrow biopsy is not required for registration but must be obtained prior to start of treatment.)
4. Age ≥ 18
5. History and physical examination within 6 weeks of registration
6. Karnofsky performance status (KPS) equal to 50 or higher, with the following exception

• Patients with KPS 30 to 50 are eligible if the reason for the poor performance status is neurologic deficit from primary central nervous system (CNS) lymphoma. (Patients with KPS 30 to 50 due to reasons other than primary CNS lymphoma are ineligible. Patients with KPS under 30 for any reason are ineligible)
7. Patient must have documentation of negative HIV-1 testing within 6 weeks prior to study registration (Separate counseling and consent as per institutional guidelines)
8. Complete blood count (CBC)/differential obtained within 2 weeks prior to study registration, with adequate bone marrow function defined as follows:

* Absolute neutrophil count (ANC) ≥ 1,500 cells/mm3;
* Platelets ≥ 100,000 cells/mm3;
* Hemoglobin (Hgb) ≥ 8.0 g/dl (Note: The use of transfusion or other intervention to achieve Hgb ≥ 8.0 g/dl is acceptable.);
9. Adequate liver function within 2 weeks prior to study registration, defined as follows:

* Bilirubin \< 2.0 mg/dl
* Aspartate aminotransferase (AST) \<2.5 times upper limit of normal
10. Adequate renal function within 2 weeks prior to study registration, defined as follows

* Serum creatinine \< 1.5 mg/dl
* Calculated creatinine clearance (CrCl) \> 50cc/min/1.73m2, using the Cockcroft-Gault equation, as follows:

Male: CrCl (ml/min) = (140-age) X (Actual weight in kg) / 72 x serum Creatinine (mg/dl).

Female: CrCl (ml/min) = (140-age) X (Actual weight in kg) X 0.85 / 72 x serum Creatinine (mg/dl).

Note: A measured CrCl from a 24 hour urine collection may also be used.
11. Women of childbearing potential and male participants must agree to practice adequate contraception during therapy
12. Patient must provide study-specific informed consent prior to study registration
13. Patient must be able to swallow pills.

Exclusion Criteria:

1. Prior invasive malignancy (except non-melanomatous skin cancer) unless disease free for a minimum of 3 years (For example, carcinoma in situ of the breast, oral cavity, or cervix are all permissible)
2. Prior treatment with chemotherapy or radiotherapy for lymphoma or chronic lymphocytic leukemia; note that prior chemotherapy for a different cancer is allowable; see section 1
3. Prior cranial irradiation
4. Severe, active co-morbidity, defined as follows:

* Unstable angina and/or congestive heart failure requiring hospitalization within the last 6 months;
* Transmural myocardial infarction within the last 6 months;
* Acute bacterial or fungal infection requiring intravenous antibiotics at the time of registration;
* Chronic Obstructive Pulmonary Disease exacerbation or other respiratory illness requiring hospitalization or precluding study therapy within 30 days before registration
* Hepatic insufficiency resulting in clinical jaundice and/or coagulation defects; note, however, that laboratory tests for liver function and coagulation parameters are not required for entry into this protocol.
* Known pre-existing immunodeficiency as seen in organ transplant recipient.
5. Pregnancy or women of childbearing potential and men who are sexually active and not willing/able to use medically acceptable forms of contraception; this exclusion is necessary because the treatment involved in this study may be significantly teratogenic.
6. Prior allergic reaction to any of the study drugs involved in this protocol.