Patient description: The patient is a 45-year-old postmenopausal woman with cytologically confirmed breast cancer. A core biopsy revealed a 3 cm invasive ductal breast carcinoma in the left upper outer quadrant. The tumor is HER2-positive and ER/PR negative. Axillary sampling revealed 5 positive lymph nodes. CXR was remarkable for metastatic lesions. The patient is using multivitamins and iron supplements. She does not smoke or consume alcohol. She is not sexually active and has no children. She is a candidate for tumor resection and agrees to do so prior to chemotherapy.

Clinical trial eligibility criteria: eligible ages (years): 18.0-99.0,  METASTATIC BREAST CANCER Biopsy proven triple negative invasive ductal or lobular metastatic breast cancer. Tumor estrogen, progesterone, and HER2 (tested by IHC or FISH) negative disease. (ER- defined as </=1% by IHC, PR defined as </=1% by IHC, and HER2 by IHC 1+. If HER2 result by IHC is 2+ (equivocal), the tumor must be confirmed to be HER2 by FISH. 2. Age ≥ 18 years. 3. Patients must not have started Ixabepilone treatment more than 5 weeks prior to initiation of SBRT treatment. 4. Patients can have up to 6 sites of active extracranial disease(</=3 in the liver = one site and </=3 in the lung= one site) identified by CT scan, or PET/CT, within 8 weeks prior to initiation of SBRT (up to 2 contiguous vertebral metastasis will be considered a single site of disease). Maximum number of lesions treated is deemed as feasible per the treating radiation oncologist; ie: A patient with 4 right axillary lymph nodes, L1-L2 bone metastasis, 3 lung lesions, 1 left lung lesion, 2 liver lesions, and T2-T3 bone metastasis would be defined as having 6 sites of disease. to define a lesion in any location as a metastasis requiring local treatment as one of the sites for SBRT is any lesion clinically felt to be viable; defined as enlarging on CT/MRI or having persistent FDG avidity (Either SUV>3 or increase of SUV>20% over a 6 month interval). 5. Patients with skin nodules, skin invasion, or skin ulceration are eligible, if treatment with conventional radiation (at discretion of radiation oncologist) or surgery is planned. SBRT to skin nodules is not advised because of risk of skin necrosis. 6. . Patients must have had failure of an anthracycline, a taxane and capecitabine as per FDA approved criteria. 7. Performance status of ECOG 0,1, or 2. 8. Adequate organ and marrow function as defined below leukocytes ≥ 3,000/mcL absolute neutrophil count ≥ 1,500/mcL platelets ≥ 100,000/mcl total bilirubin within normal institutional limits AST(SGOT)/ALT(SPGT) ≤ 2.5 X institutional upper limit of normal creatinine within normal institutional limits 9. Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry, for the duration of study participation, and for 90 days following completion of therapy. Should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately. 9.1 A female of child-bearing potential is any woman (regardless of sexual orientation, having undergone a tubal ligation, or remaining celibate by choice) who meets the following  Patients may not be actively receiving any other investigational agents. 2. Patients with untreated brain metastasis (patients can have whole brain radiation or stereotactic radiation to brain prior to enrollment). 3. Patients with leptomeningeal disease. 4. History of allergic reactions attributed to compounds of similar chemical or biologic composition to Agent(s) used in study. Patients with a history of severe reactions to Cremephor EL or its derivatives (polyoxyethylated castor oil) are ineligible as Ixabepilone contraindicated in these patients 5. Because the tolerance dose of SBRT to the gastrointestinal tract is not established, patients with metastatic disease invading the esophagus, stomach, intestines, or mesenteric lymph nodes will not be eligible. 6. Patients with more than 6 discrete extra-cranial sites. 7. Treatment for other carcinomas within the last 5 years, except cured non-melanoma skin and treated in-situ cancers. 8. Patients must not be pregnant or nursing due to the potential for congenital abnormalities and the potential of this regimen to harm nursing infants. 9. Patients must not be on concomitant CYP3A4 inhibitors or inducers (see section 4.3)