David Alvin Buchsbaum (born November 6, 1929) is a mathematician at Brandeis University who works on commutative algebra, homological algebra, and representation theory. He proved the Auslander–Buchsbaum formula and the Auslander–Buchsbaum theorem.
Buchsbaum earned his Ph.D. under Samuel Eilenberg in 1954 from Columbia University with thesis Exact Categories and Duality. Among his doctoral students are Peter J. Freyd and Hema Srinivasan. In 2012 he became a fellow of the American Mathematical Society.