He completed his medical school training at the University of Maryland School of Medicine and his internal medicine training, including a chief resident year, at the University of Maryland Hospital. He completed fellowships in cardiovascular medicine and cardiac electrophysiology at Georgetown University Medical Center. He joined the division of Cardiology at Georgetown University and he became the director of the electrophysiology service, as well as, the director of the Cardiology Fellowship Program, before moving to the GW campus, where he continues his work with the electrophysiology service and the fellowship program.
Dr. Solomon has won multiple teaching awards, including the American College of Cardiology Teaching Award. He has also authored book chapters and more than 40 manuscripts.