MUC1 Vaccine for Triple-negative Breast Cancer

Inclusion Criteria:

* AJCC stage I-III infiltrating adenocarcinoma of the breast who have completed standard adjuvant or neoadjuvant therapy (surgery, radiation, biologic therapy, chemotherapy) for TNBC (ER-, PR-, HER-2/neu-)
* Patients who have completed standard therapy for triple-negative inflammatory BC are eligible
* Eastern Cooperative Oncology Group (ECOG) performance status 0-1
* Absolute neutrophil count \>= 1,000/mm\^3
* Hemoglobin \>= 10.0 g/dl
* Platelet count \>= 100,000/mm\^3
* Total bilirubin must be within normal limits
* Transaminases (aspartate aminotransferase \[AST\] and/or alanine aminotransferase \[ALT\]) may be up to 2.5 x institutional upper limit of normal (ULN) if alkaline phosphatase is =\< ULN
* Alkaline phosphatase may be up to 4 x ULN if transaminases are =\< ULN
* Normal creatinine and blood urea nitrogen (BUN); if abnormal, calculated creatinine clearance must be \>= 60 mg/dL
* Human immunodeficiency virus (HIV)(-), antinuclear antibody (ANA)(-), hepatitis panel (-), normal thyroid function tests; these tests will be performed at the discretion of the Investigator if warranted by history or clinical presentation
* Patients must be disease-free of prior invasive malignancies for \>= 5 years, with the exception of curatively-treated basal cell or squamous cell carcinoma of the skin or carcinoma in situ of the cervix
* All patients must have completed surgery with sentinel and/or axillary lymph node dissection according to participating institutional guidelines
* All patients must have completed adjuvant radiation therapy according to participating institutional guidelines
* All patients must have completed either adjuvant or neoadjuvant chemotherapy according to participating institutional guidelines; the choice of chemotherapy is at the discretion of the treating physician
* Women of childbearing potential must have a negative pregnancy test and must be willing to consent to using an accepted and effective barrier form method of contraception during participation in the study and for a reasonable period thereafter
* Patients must provide written informed consent

Exclusion Criteria:

* Known metastatic BC
* Radiotherapy, chemotherapy, biologic therapy, or other investigational therapy within the preceding 4 weeks
* Previous splenectomy or radiotherapy to spleen
* Coexisting or previous malignancies except carcinoma in situ of the cervix or basal cell carcinoma of the skin
* Active or uncontrolled infection
* Psychiatric, addictive, or any disorder that compromises the ability to give informed consent to participate in or to comply with the requirements of the study
* Concurrent systemic corticosteroid treatment - must be off all steroids for at least 4 weeks prior to vaccine administration
* Any condition or behavior that in the judgment of the Investigator, would compromise the patient's ability to participate in the study