Haploidentical CD34+ Selected Cells Combined With Single Unit Umbilical Cord Blood Transplant for Treatment of High-risk Hematologic Disorders

Inclusion Criteria - Recipient * Ages 18-80 years inclusive * Diagnosed with high risk hematologic disorders warranting stem cell transplant per institutional standard of care * Lack HLA-identical related donor * Availability of at least one HLA- haploidentical (i.e. =\> 5/10 and \<= 8/10 HLA match) related donor (HLA-A, B, C, DR, and DQ loci) who is available to donate CD34+ cells. * Availability of at least one 4/6 HLA-matched (HLA-A, B, and DR loci) cord blood unit from the National Marrow Donor Program (NMDP). The cord blood unit must contain a minimum TNC (prior to thawing) of at least 2x107 cells per kilogram of recipient body weight * Ability to comprehend the nature of the treatment 6.2. Exclusion Criteria - Recipient (any of the following) * HLA identical (6/6) related donor available and readily accessible at time of transplantation evaluation * Any patient not meeting institutional standard guidelines for transplant eligibility