HA-1 T TCR T Cell Immunotherapy for the Treatment of Patients With Relapsed or Refractory Acute Leukemia After Donor Stem Cell Transplant

Inclusion Criteria:

* Subject age 0-80 years at the time of enrollment.
* Subject must express HLA-A\*0201
* Subject must have the HA-1(H) genotype (RS\_1801284: A/G, A/A)
* Subject must have an adult donor for HCT who is adequately HLA matched by institutional standards (includes HLA-matched related or unrelated donors, and HLA-mismatched family donors, including haploidentical donors) and is either:

  * HLA-A\*0201 positive and HA-1(H) negative (RS\_1801284: G/G) or
  * HLA-A\*0201 negative
* Subjects who are currently undergoing or who previously underwent allogeneic HCT for

  * Acute myeloid leukemia (AML) of any subtype
  * Acute lymphoid leukemia (ALL) of any subtype
  * Mixed phenotype/undifferentiated/any other type of acute leukemia, including blastic plasmacytoid dendritic cell neoplasm
  * Chronic myeloid leukemia with a history of blast crisis and:

    * With relapse or refractory disease (\>= 5% marrow blasts, or circulating blasts) at any time after HCT
    * With persistent rising minimal residual disease (defined as detectable disease by morphology, flow cytometry, molecular or cytogenetic testing but \< 5% marrow blasts by morphology, no circulating blasts on \>= 2 of two consecutive tests), refractory or ineligible for treatment with tyrosine kinase inhibitors at any time after HCT
  * Myelodysplastic syndrome (MDS) of any subtype
  * Chronic myelomonocytic leukemia (CMML)
  * Juvenile myelomonocytic leukemia (JMML)
* Subjects must be able to understand and be willing to give informed consent; decision-impaired adults may consent with their legally authorized representative; parent or legal representative will be asked to consent for subjects younger than 18 years old
* Subjects must agree to participate in long-term follow-up for up to 15 years if they are enrolled in the study and receive T cell infusion
* Subjects who have relapsed or have MRD after HCT may receive other agents for treatment of disease and remain eligible for the protocol
* A specific performance status score is not required for enrolling on the protocol; a delay in infusion of the HA-1 TCR T cells may be required for subjects with low performance status

DONOR SELECTION INCLUSION

* Donor age \>= 18 years
* Donors must be able to give informed consent

Exclusion Criteria:

* Medical or psychological conditions that would make the subject unsuitable candidate for cell therapy at the discretion of the principal investigator (PI)
* Fertile subjects unwilling to use contraception during and for 12 months after treatment
* Subjects with a life expectancy of \< 3 months of enrollment from coexisting disease other than leukemia
* Subjects who have ongoing grade IV acute GVHD or severe chronic GVHD following most recent transplant. Exception: the principal investigator (PI) may make an exception on a case-by-case basis to include such a subject if there is doubt surrounding the GVHD diagnosis and/or sustained significant improvement in GVHD severity
* The presence of organ toxicities will not necessarily exclude subjects from enrolling on the protocol at the discretion of the PI; however, a delay in the infusion of HA-1 TCR T cells may be required

DONOR SELECTION EXCLUSION

* Donors who are human immunodeficiency virus (HIV)-1, HIV-2, human T-lymphotropic virus (HTLV)-1, HTLV-2 seropositive or with active hepatitis B or hepatitis C virus infection
* Unrelated donor residing outside of the United States of America (USA) unless the donor screening, testing and leukapheresis occur at an National Marrow Donor Program (NMDP)-affiliated and qualified donor center and are facilitated by the NMDP