David Eisenbud (born 8 April 1947 in New York City) is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and was Director of the Mathematical Sciences Research Institute (MSRI) from 1997 to 2007. He was reappointed to this office in 2013, and his term has been extended until July 31, 2022.
Eisenbud is the son of mathematical physicist Leonard Eisenbud, student and collaborator of renowned physicist Eugene Wigner . Eisenbud received his Ph.D. in 1970 from the University of Chicago, where he was a student of Saunders Mac Lane and, unofficially, James Christopher Robson. He then taught at Brandeis University from 1970 to 1997, during which time he had visiting positions at Harvard University, Institut des Hautes Études Scientifiques (IHÉS), University of Bonn, and Centre national de la recherche scientifique (CNRS). He joined the staff at MSRI in 1997, and took a position at Berkeley at the same time.
From 2003 to 2005 Eisenbud was President of the American Mathematical Society.
Eisenbud's mathematical interests include commutative and non-commutative algebra, algebraic geometry, topology, and computational methods in these fields. He has written over 150 papers and books with over 60 co-authors. Notable contributions include the theory of matrix factorizations for maximal Cohen–Macaulay modules over hypersurface rings, the Eisenbud–Goto conjecture on degrees of generators of syzygy modules, and the Buchsbaum–Eisenbud criterion for exactness of a complex. He also proposed the Eisenbud–Evans conjecture which was later settled by the Indian mathematician Neithalath Mohan Kumar.
Eisenbud's hobbies are juggling (he has written two papers on the mathematics of juggling) and music. He has appeared in Brady Haran's Numberphile web series.
Eisenbud was elected Fellow of the American Academy of Arts and Sciences in 2006. He was awarded the Leroy P. Steele Prize in 2010. In 2012 he became a fellow of the American Mathematical Society.
- Eisenbud, David; Neumann, Walter (1985). Three-dimensional link theory and invariants of plane curve singularities. Annals of Mathematical Studies. 110. Princeton, N.J.: Princeton U. Press. vii+171. ISBN 978-0-691-08381-0.
- Eisenbud, David (1995). Commutative algebra with a view toward algebraic geometry. Graduate Texts in Mathematics. 150. New York: Springer-Verlag. xvi+785. ISBN 0-387-94268-8. MR 1322960.
- Eisenbud, David; Harris, Joe (2000). The geometry of schemes. Graduate Texts in Mathematics. 197. Berlin; New York: Springer-Verlag. x+294. ISBN 978-0-387-98638-8. MR 1730819.
- Eisenbud, David (2005). The geometry of syzygies. A second course in commutative algebra and algebraic geometry. Graduate Texts in Mathematics. 229. New York: Springer-Verlag. xvi+243. ISBN 0-387-22215-4.
- Eisenbud, David; Harris, Joseph (2016). 3264 and All That: A Second Course in Algebraic Geometry. Cambridge University Press. ISBN 978-1107602724.
- Eisenbud, David; Harris, Joe (1989). "Progress in the theory of complex algebraic curves". Bull. Amer. Math. Soc. (N.S.). 21 (2): 205–232. doi:10.1090/s0273-0979-1989-15807-2. MR 1011763.
- Eisenbud, David; Green, Mark; Harris, Joe (1996). "Cayley-Bacharach theorems and conjectures". Bull. Amer. Math. Soc. (N.S.). 33 (3): 295–324. doi:10.1090/s0273-0979-96-00666-0. MR 1376653.