Trial of M4344 and Niraparib in Patients With Poly (ADP-ribose) Polymerase (PARP) Resistant Recurrent Ovarian Cancer

Inclusion Criteria: * Patients must have been diagnosed with advanced epithelial serous ovarian cancer, primary peritoneal cancer or fallopian tube cancer * Patients must have PARP resistant ovarian cancer, defined as progression while being treated with a PARP inhibitor. * Patients must have at least one lesion that meets the definition of measurable disease by RECIST v1.1. * Patients must have received at least one but no more than five prior systemic treatment regimens * Female patients ≥ 18 years of age * Eastern Cooperative Oncology Group (ECOG) performance status (PS) 0 or Exclusion Criteria: * Is currently participating and receiving study therapy or has participated in a study of an investigational agent and received study therapy or used an investigational device within 4 weeks of the first dose of treatment. * Patients cannot have had primary platinum refractory cancer, i.e. documented cancer progression while receiving platinum or within one month of receipt of a platinum based regimen. * Has had prior chemotherapy, targeted small molecule therapy, or radiation therapy within 2 weeks prior to study Day 1 or who has not recovered (i.e., ≤ Grade 1 or at baseline) from adverse events due to a previously administered agent. * Has a known additional malignancy that is progressing or requires active treatment. In addition, patients cannot have been diagnosed with another malignancy within 3 years of starting treatment. Exceptions include fully resected basal cell carcinoma of the skin or squamous cell carcinoma of the skin, in situ cervical cancer, fully resected ductal carcinoma in situ, and stage IA, noninvasive grade I endometrioid endometrial cancer, that has undergone curative therapy. * Has known active central nervous system (CNS) metastases and/or carcinomatous meningitis. Participants with previously treated brain metastases may participate provided they are stable (without evidence of progression by imaging for at least four weeks prior to the first dose of trial treatment 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 to trial treatment. This exception does not include clinically active and significant carcinomatous meningitis that is excluded regardless of clinical stability. * Has an active infection requiring systemic therapy * Has a history or current evidence of any condition, therapy, or laboratory abnormality that might confound the results of the trial, interfere with the participant's participation for the full duration of the trial, or is not in the best interest of the participant to participate, in the opinion of the treating investigator.