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This phase II trial studies how well giving an umbilical cord blood transplant together with cyclophosphamide, fludarabine, and total-body irradiation (TBI) works in treating patients with hematologic diseases. Giving chemotherapy, such as cyclophosphamide, fludarabine and thiotepa, and TBI before a donor cord blood transplant (CBT) helps stop the growth of cancer and abnormal cells and helps stop the patient's immune system from rejecting the donor's stem cells. When the healthy stem cells from a donor are infused into the patient they may help the patient's bone marrow make stem cells, red blood cells, white blood cells, and platelets. Sometimes the transplanted cells from a donor can make an immune response against the body's normal cells. Giving cyclosporine and mycophenolate mofetil after transplant may stop this from happening in patients with high-risk hematologic diseases.

This phase II trial tests how well nemtabrutinib in combination with pembrolizumab works in treating patients with Richter transformation, diffuse large B-cell lymphoma subtype (RT-DLBCL). Nemtabrutinib is in a class of medications called kinase inhibitors. It blocks a protein called BTK, which is present on B-cells (a type of white blood cell) in cancers such as Richter transformation at abnormal levels. This may help keep cancer cells from growing and spreading. Immunotherapy with monoclonal antibodies, such as pembrolizumab, may help the body's immune system attack the cancer, and may interfere with the ability of cancer cells to grow and spread. Giving nemtabrutinib in combination with pembrolizumab may kill more cancer cells in patients with RT-DLBCL.

This phase Ib/II clinical trial tests the safety, side effects, and effectiveness of mosunetuzumab with chemotherapy for the treatment of patients with untreated, c-Myc rearrangement positive, high grade B cell lymphoma or diffuse large B cell lymphoma. A monoclonal antibody is a type of protein that can bind to certain targets in the body, such as molecules that cause the body to make an immune response (antigens). Immunotherapy with monoclonal antibodies, such as mosunetuzumab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Chemotherapy drugs, such as etoposide, doxorubicin, vincristine, cyclophosphamide and prednisone work in different ways to stop the growth of cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. Giving mosunetuzumab with chemotherapy may be safe, tolerable and/or effective in treating patients with untreated, c-Myc rearrangement positive, high grade B cell lymphoma or diffuse large B cell lymphoma.

This phase I trial tests the safety, side effects and best dose of TGFβR2KO/IL13Rα2 chimeric antigen receptor (CAR) T-cells given within the skull (intracranial) in treating patients with glioblastoma or IDH-mutant grade 3 or 4 astrocytoma that has come back after a period of improvement (recurrent) or that is growing, spreading, or getting worse (progressive). CAR T-cell therapy is a type of treatment in which a patient's T cells (a type of immune system cell) are changed in the laboratory so they will attack tumor cells. T cells are taken from a patient's blood. When the cells are taken from the patient's own blood, it is known as autologous. Then the gene for special receptors that bind to a certain proteins on the patient's tumor cells are added to the T cells in the laboratory. The special receptors are called CAR. Large numbers of the CAR T cells are grown in the laboratory and given to the patient by infusion for treatment of certain tumors. Giving TGFβR2KO/IL13Rα2 CAR T cells may be safe, tolerable, and/or effective in treating patients with recurrent or progressive glioblastoma or grade 3 or 4 IDH-mutant astrocytoma.

This phase II trial studies how well vedolizumab plus post-transplant cyclophosphamide (PTCy) and short course tacrolimus work for the prevention of graft versus host disease (GVHD) in patients undergoing allogeneic hematopoietic cell transplantation (HCT) after reduced intensity conditioning. Allogeneic HCT is a procedure in which a person receives blood-forming stem cells (cells from which all blood cells develop) from a donor. Giving reduced conditioning chemotherapy before an allogeneic HCT helps kill cancer cells in the body and helps make room in the patient's bone marrow for new stem cells to grow using less than standard doses of chemotherapy. Sometimes, the transplanted cells from a donor can attack the body's normal cells (called graft-versus-host disease). Vedolizumab is a monoclonal antibody, which is a type of protein that can bind to certain targets in the body, such as molecules that cause the body to make an immune response (antigens). It may reduce inflammation. Cyclophosphamide is in a class of medications called alkylating agents. It works by damaging the cell's deoxyribonucleic acid and may kill cancer cells. It may also lower the body's immune response. Tacrolimus suppresses the immune system by preventing the activation of certain types of immune cells. Giving vedolizumab plus PTCy and short course tacrolimus may be effective at preventing GVHD after allogeneic HCT.

This phase II trial tests how well tamoxifen and pegylated liposomal doxorubicin works in treating patients with triple negative breast cancer that has spread from where it first started (primary site) to other places in the body (metastatic) or that has spread to nearby tissue or lymph nodes (locally advanced) and is unable to be operated on (inoperable). Tamoxifen works by blocking the effects of estrogen in the breast. This may help stop the growth of tumor cells that need estrogen to grow. Doxorubicin is in a class of medications called anthracyclines. Doxorubicin damages the cell's DNA and may kill cancer cells. It also blocks a certain enzyme needed for cell division and DNA repair. Liposomal doxorubicin is a form of the anticancer drug doxorubicin that is contained inside very tiny, fat-like particles. Liposomal doxorubicin may have fewer side effects and work better than other forms of the drug. Giving tamoxifen and pegylated liposomal doxorubicin together may work better in treating patients with metastatic or inoperable, locally advanced triple negative breast cancer than giving either of these drugs alone.

This phase I trial studies the safety of personalized neo-antigen peptide vaccine in treating patients with stage IIIC-IV melanoma, hormone receptor positive HER2 negative breast cancer that has spread from where it first started (primary site) to other places in the body (metastatic) or does not respond to treatment (refractory) or stage III-IV non-small cell lung cancer. Personalized neo-antigen peptide vaccine is a product that combines multiple patient specific neo-antigens. Given personalized neo-antigen peptide vaccine together with Th1 polarizing adjuvant poly ICLC may induce a polyclonal, poly-epitope, cytolytic T cell immunity against the patient's tumor.

This phase Ib trial tests the safety, side effects and best dose of anti-HLA-A2/NY-ESO-1 T-cell receptor (TCR)-transduced autologous T lymphocytes (A2-ESO-1 TCR-T cells) in treating patients with NY-ESO-1 overexpression positive triple negative breast cancer (TNBC) that has come back after a period of improvement (relapsed/recurrent) or that does not respond to treatment (refractory), and that may have spread from where it first started (primary site) to nearby tissue, lymph nodes (advanced) or to other places in the body (metastatic). NY-ESO-1 is an antigen found on the surface of many different types of tumor cells including TNBC. Antigens make it possible for immune cells to recognize and kill germ cells that invade the body, however, it is more difficult for immune cells to recognize antigens on tumor cells. T cells are a special type of immune cell in the blood. These T cells may be trained to recognize the NY-ESO-1 antigen on tumor cells, allowing the T cells to attack and kill those tumor cells. The A2-ESO-1 TCR-T cells are T cells that have been removed from the patient's blood through a process called leukapheresis and then changed in the laboratory to recognize NY-ESO-1 on tumor cells. When given back to the patient, these A2-ESO-1 TCR-T cells find and attack tumor cells that express NY-ESO-1. Chemotherapy drugs, such as cyclophosphamide and fludarabine, work in different ways to stop the growth of tumor cells, either by killing the cells, by stopping them from dividing, or by stopping them from spreading. They are given before the T cells to support optimum activity of the A2-ESO-1 TCR-T cells. IL-2 (aldesleukin) is in a class of drugs known as cytokines. It is a man-made version of a naturally occurring protein that stimulates the body to produce other chemicals which increase the body's ability to fight cancer. A2-ESO-1 TCR-T cells may kill more tumor cells in patients with recurrent or refractory advanced or metastatic TNBC that overexpresses NY-ESO-1.