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David Alvin Buchsbaum (November 6, 1929[1] – January 8, 2021[2]) was a mathematician at Brandeis University who worked on commutative algebra, homological algebra, and representation theory. He proved the Auslander–Buchsbaum formula and the Auslander–Buchsbaum theorem.

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Buchsbaum earned his Ph.D. under Samuel Eilenberg in 1954 from Columbia University with thesis Exact Categories and Duality.[3] Among his doctoral students are Peter J. Freyd and Hema Srinivasan. In 1995, he was elected to the American Academy of Arts and Sciences. In 2012, he became a fellow of the American Mathematical Society.[4]

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