This study will evaluate the safety, tolerability, and efficacy of Orca-T in participants undergoing reduced intensity or non-myeloablative allogeneic hematopoietic cell transplantation (alloHCT) for hematologic malignancies. Orca-T is an allogeneic stem cell and T-cell immunotherapy biologic manufactured for each patient (transplant recipient) from the mobilized peripheral blood of a specific, unique donor. It is composed of purified hematopoietic stem and progenitor cells (HSPCs), purified regulatory T cells (Tregs), and conventional T cells (Tcons).

This phase III trial compares the effectiveness of fractionated stereotactic radiosurgery (FSRS) to usual care stereotactic radiosurgery (SRS) in treating patients with cancer that has spread from where it first started to the brain. Radiation therapy uses high energy x-rays to kill tumor cells and shrink tumors. FSRS delivers a high dose of radiation to the tumor over 3 treatments. SRS is a type of external radiation therapy that uses special equipment to position the patient and precisely give a single large dose of radiation to a tumor. FSRS may be more effective compared to SRS in treating patients with cancer that has spread to the brain.

This phase II trial studies the effect of pembrolizumab alone compared to the usual approach (chemotherapy \[cisplatin and carboplatin\] plus radiation therapy) after surgery in treating patients with head and neck squamous cell carcinoma that has come back (recurrent) or patients with a second head and neck cancer that is not from metastasis (primary). Radiation therapy uses high energy radiation or protons to kill tumor cells and shrink tumors. Cisplatin is in a class of medications known as platinum-containing compounds. It works by killing, stopping or slowing the growth of cancer cells. Carboplatin is also in a class of medications known as platinum-containing compounds. It works in a way similar to the anticancer drug cisplatin, but may be better tolerated than cisplatin. Carboplatin works by killing, stopping or slowing the growth of cancer cells. Immunotherapy with monoclonal antibodies, such as pembrolizumab, may help the body's immune system attack the cancer and may interfere with the ability of tumor cells to grow and spread. Giving pembrolizumab alone after surgery may work better than the usual approach in shrinking recurrent or primary head and neck squamous cell carcinoma.

This phase III trial compares the effect of adding cemiplimab to standard therapy (surgery with or without radiation) versus standard therapy alone in treating patients with stage III/IV squamous cell skin cancer that is able to be removed by surgery (resectable) and that may have come back after a period of improvement (recurrent). The usual treatment for patients with resectable squamous cell skin cancer is the removal of the cancerous tissue (surgery) with or without radiation, which uses high energy x-rays, particles, or radioactive seeds to kill cancer cells and shrink tumors. Immunotherapy with monoclonal antibodies, such as cemiplimab, may help the body's immune system attack the cancer, and may interfere with the ability of tumor cells to grow and spread. Cemiplimab has been approved for the treatment of skin cancer that has spread or that cannot be removed by surgery, but it has not been approved for the treatment of skin cancer than can be removed by surgery. Adding cemiplimab to the usual treatment of surgery with or without radiation may be more effective in treating patients with stage III/IV resectable squamous cell skin cancer than the usual treatment alone.