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David Alvin Buchsbaum (November 6, 1929 – January 8, 2021) was a mathematician at
Brandeis University Brandeis University () is a Private university, private research university in Waltham, Massachusetts, United States. It is located within the Greater Boston area. Founded in 1948 as a nonsectarian, non-sectarian, coeducational university, Bra ...
who worked on
commutative algebra Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideal (ring theory), ideals, and module (mathematics), modules over such rings. Both algebraic geometry and algebraic number theo ...
,
homological algebra Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precurs ...
, and
representation theory Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), ...
. He proved the Auslander–Buchsbaum formula and the Auslander–Buchsbaum theorem.


Career

Buchsbaum earned his Ph.D. under Samuel Eilenberg in 1954 from
Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...
with thesis ''Exact Categories and Duality''. Among his doctoral students are Peter J. Freyd and Hema Srinivasan. In 1995, he was elected to the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
. In 2012, he became a fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.List of Fellows of the American Mathematical Society
retrieved 2012-11-10.


See also

* Buchsbaum ring


References


External links


Home page of David Buchsbaum
* {{DEFAULTSORT:Buchsbaum, David 1929 births 2021 deaths 20th-century American mathematicians 21st-century American mathematicians Columbia University alumni Brandeis University faculty Fellows of the American Mathematical Society American algebraists