Thompson is co-founder, charter member, and past chair of Alexander Technique International. A former assistant professor of drama and managing director of Tufts Arena Theater at Tufts University, he teaches locally for the Institute for Advanced Theater Training at Harvard's American Repertory Theatre.
In addition to his private teaching practice and worldwide workshops, Thompson has directed a training school for Alexander teachers in Cambridge, Massachusetts since 1983, where he has taught the technique to professional and Olympic athletes, dressage riders, scientists, physicians, musicians, symphony conductors, dancers, actors, children, and people with disabilities.
He has lectured and given over 300 workshops for Alexander teachers and students in the United States, Canada, the Middle East, and Europe. Tommy was special Alexander Technique assistant to the 1976 Olympic United States Heavyweight Rowing Crew. He cowrote Scientific and Humanistic Contributions of Frank Pierce Jones, with whom he studied.