John C. Baumann received his A.B. degree in economics (magna cum laude) from Princeton University in 1973 and his M.D. degree from Harvard Medical School in 1977. He completed an internship in internal medicine at the Walter Reed Army Medical Center in 1978, a residency and chief residency in radiation oncology at Harvard Medical School's Joint Center for Radiation Therapy from 1980-1981, and a fellowship in radiation oncology at Harvard Medical School from 1978-1981. He was certified by the National Board of Medical Examiners in 1978 and by the American Board of Radiology in therapeutic radiology in 1981.

From 1981-1985, Dr. Baumann was appointed the chief of radiation oncology at the Walter Reed Army Medical Center, the associate program director of the Joint Radiation Oncology Residency Training Program of the USUHS affiliated hospitals, a member of the Radiotherapy Committee of the Gynecologic Oncology Group, a member of the Radiology Advisory Medical Team of the Department of Defense, and the consultant to the Surgeon General of the United States in radiation oncology.

Dr. Baumann has been a member of Princeton Radiology Associates and the director of radiation oncology at the University Medical Center at Princeton (UMCP) since 1985, and has served terms as secretary, treasurer, vice-president, and president of the Medical and Dental Staff at UMCP since 1993.

Dr. Baumann is a member of the American Society of Therapeutic Radiology and Oncology, American College of Radiology, American Society of Clinical Oncology, Academy of Medicine of New Jersey, Mercer County Medical Society, and New Jersey State Medical Society.