This is a phase I, dose-escalation study of pomalidomide, dexamethasone and ixazomib followed by a phase II study. The primary purpose of the Phase I portion of the study is to establish the maximum tolerated dose for combination therapy pomalidomide/dexamethasone/ixazomib. Patients receive pomalidomide orally (PO) once daily (QD) on days 1-21, dexamethasone PO QD on days 1, 8, 15, and 22, and ixazomib PO QD on days 1, 8, and 15. Courses repeat every 28 days in the absence of disease progression, unacceptable toxicity or withdrawal of consent. About 24 patients will take part in this portion of the study.