Pembro/Carbo/Taxol in Endometrial Cancer

Inclusion Criteria: * Written informed consent and HIPAA authorization for release of personal health information prior to registration for protocol therapy. o NOTE: HIPAA authorization may be included in the informed consent or obtained separately. * Age ≥ 18 years at the time of consent. * ECOG Performance Status of 0 or 1 within 28 days prior to registration for protocol therapy. * Histological evidence of newly diagnosed Stage III or IV or recurrent endometrial carcinoma who have had definitive surgery for endometrial cancer (at least hysterectomy and bilateral salpingo-oophorectomy). Pathologic documentation of the recurrence (i.e., biopsy) will be performed per standard of care, at the treating physician's discretion. If a subject with recurrence is undergoing a biopsy for clinical indications and is willing and able, an optional collection of 3 frozen tissue cores of the recurrence site is requested for correlative analysis. * Measurable disease according to RECIST v1.1 and obtained by imaging within 28 days prior to registration for protocol therapy. Disease in an irradiated field as the only site of measurable disease is acceptable only if there has been clear progression since completion of radiation treatment. * The subject must have recovered (≤ grade 1) from the acute toxic effects of prior therapy. * Prior treatment: Subjects may have received none or one platinum-based chemotherapy regimen and none or one non-platinum regimen. Subjects having received prior platinum-based chemotherapy must have a disease-free interval \> 6 months (be platinum sensitive). * Prior therapy with hormones or biologic agents is allowed. These treatments must be discontinued at least 28 days prior to registration for protocol therapy. * The subject must have completed radiation therapy at least 28 days prior to registration for protocol therapy, provided that toxicity has resolved to ≤ grade 1. * NOTES: Subjects may have received prior radiation therapy for treatment of endometrial carcinoma. Prior radiation therapy may have included pelvic radiation therapy, extended field pelvic/para-aortic radiation therapy, and/or intravaginal brachytherapy. Chemotherapy used for radiation sensitization is allowed. Chemotherapy used for radiation sensitization will not count as second chemotherapy regimen. * Palliative radiation given primarily for symptom relief, without the intent to treat or cure the patient's endometrial cancer is excluded from the above criteria. Treatment-directed radiation will be defined as more than 30 Gy of radiation. * No prior malignancy is allowed except for adequately treated basal cell or squamous cell skin cancer, in situ cervical cancer, or other cancer for which the subject has been disease-free for at least 5 years. * Female subjects must be of non-childbearing potential. Women of childbearing potential are those who have not been surgically sterilized or have not been free from menses for ≥1 year. * Laboratory values must be obtained within 14 days prior to registration for protocol therapy. Note: Institutional/laboratory upper limit of normal (ULN) * Hemoglobin (Hgb) \> 9 g/dL (without transfusion or EPO dependency within 7 days of assessment) * Platelets \> 100 K/mm3 * Absolute neutrophil count (ANC) ≥ 1.5 K/mm3 * Creatinine or measured/calculated creatinine clearance (as calculated by institutional standard) ≤ 1.5 X institutional ULN OR ≥60mL/min for subjects with creatinine levels \> 1.5 x institutional ULN * Serum total bilirubin ≤ 1.5 ULN OR Direct bilirubin ≤ ULN for subjects with total bilirubin levels \> 1.5 ULN * AST, ALT or alkaline phosphatase \< 2.5 ULN OR ≤ 5 x ULN for subjects with liver metastases * Albumin ≥ 2.5 mg/dL * International normalized ratio (INR) or prothrombin time (PT) ≤ 1.5 x ULN unless subject is receiving anti-coagulant therapy as long as PTT is within therapeutic range of intended use of anticoagulants * Activated Partial Thromboplastin Time (aPTT) ≤ 1.5 x ULN unless subject is receiving anti-coagulant therapy as long as PT or PTT is within therapeutic range of intended use of anticoagulants Exclusion Criteria: * Subjects with carcinosarcoma. * Subjects who have a solitary central pelvic recurrence, which can be curatively resected. * Hypersensitivity to pembrolizumab or any of its excipients. * Has had a prior anti-cancer monoclonal antibody (mAb) within 4 weeks prior to registration for protocol therapy or who has not recovered (i.e., ≤ Grade 1 or at baseline) from adverse events due to agents administered more than 4 weeks earlier. * Has known active central nervous system (CNS) metastases and/or carcinomatous meningitis. Subjects with previously treated brain metastases may participate provided they are stable (without evidence of progression by imaging for at least four weeks prior to registration for protocol therapy and any neurologic symptoms have returned to baseline), have no evidence of new or enlarging brain metastases, and are not using steroids for at least 7 days prior registration for protocol therapy. This exception does not include carcinomatous meningitis, which is excluded regardless of clinical stability. * NOTE: Subjects with neurological symptoms must undergo a head CT scan or brain MRI to exclude brain metastasis. * Treatment with any investigational agent within 28 days prior to registration for protocol therapy. * Has known history of Human Immunodeficiency Virus (HIV) (HIV 1/2 antibodies). * Active autoimmune disease that has required systemic treatment in past 2 years (i.e., with use of disease modifying agents, corticosteroids, or immunosuppressive drugs). Replacement therapy (e.g., thyroxine, insulin, or physiologic corticosteroid replacement therapy for adrenal or pituitary insufficiency, etc.) is not considered a form of systemic treatment. * Has received systemic steroid therapy or any other form of immunosuppressive therapy within 7 days prior to registration for protocol therapy. (Prednisone (or equivalent) \< 10mg/ day is allowed). * Has a known history of active TB (Bacillus Tuberculosis). * Pulmonary conditions such as sarcoidosis, silicosis, idiopathic pulmonary fibrosis, or hypersensitivity pneumonitis. * Has a history of (non-infectious) pneumonitis that required steroids or has current pneumonitis. * Evidence of interstitial lung disease. * Has an active infection requiring systemic therapy with the exception of an uncomplicated urinary tract infection. * Pre-existing peripheral neuropathy that is ≥ Grade 2 by CTCAE v4 criteria. * Has received prior therapy with an anti-PD-1, anti-PD-L1, or anti-PD-L2 agent. * Has a known history of Hepatitis B (defined as Hepatitis B surface antigen \[HBsAg\] reactive) or known active Hepatitis C virus (defined as HCV RNA \[qualitative\] is detected) infection. Note: no testing for Hepatitis B and Hepatitis C is required unless mandated by local health authority. * Has received a live vaccine within 30 days prior to registration for protocol therapy. o NOTE: Seasonal influenza vaccines for injection are generally inactivated flu vaccines and are allowed; however, intranasal influenza vaccines (e.g., Flu-Mist) are live attenuated vaccines, and are not allowed. * History of solid organ or stem cell transplant requiring immunosuppressive medications.