From 1965 to the mid 1980s Sweeder worked on commutative algebra and related disciplines.
[3] Since the mid 1980s Sweedler has worked primarily on computer algebra.
His research resulted in his position as director of the Army Center of Excellence for computer algebra.
[3] Sweedler was an Invited Speaker at the International Congress of Mathematicians in 1974 in Vancouver.
[5] With his wife Kristin, he helped establish the Sweedler Nature Preserve.