The purpose of this study is to evaluate an investigational agent, P10s-PADRE, a peptide mimotope-based vaccine, in combination with standard neoadjuvant chemotherapy in patients with clinical stage I, II or III estrogen-receptor (ER) negative, progesterone receptor (PR) negative and HER2-negative (= triple negative - TN) breast cancer. P10s-PADRE will be administered with MONTANIDE™ ISA 51 VG as adjuvant. Human breast cancers that express Tumor Associated Carbohydrate Antigens (TACAs) can be immunogenic, and enhancing the anti-TACA antibodies and immune effector function already present may augment the cytotoxic effects of standard therapies.