David Eisenbud
Encyclopedia
David Eisenbud 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.
Eisenbud received his Ph.D.
in 1970 from the University of Chicago
, where he was a student of Saunders Mac Lane
and, unofficially, J. C. 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
(IHES), 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 nearly 150 papers with over 50 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 has had 25 doctoral students, including Gregory G Smith, winner of the Andre Aisenstadt Prize in 2007.
Eisenbud's hobbies are juggling
(he has written two papers on the mathematics of juggling) and music.
He was awarded the Leroy P. Steele Prize in 2010.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
. He is a professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
and was Director of the Mathematical Sciences Research Institute
Mathematical Sciences Research Institute
The Mathematical Sciences Research Institute , founded in 1982, is an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions...
(MSRI) from 1997 to 2007.
Eisenbud received his Ph.D.
Ph.D.
A Ph.D. is a Doctor of Philosophy, an academic degree.Ph.D. may also refer to:* Ph.D. , a 1980s British group*Piled Higher and Deeper, a web comic strip*PhD: Phantasy Degree, a Korean comic series* PhD Docbook renderer, an XML renderer...
in 1970 from the University of Chicago
University of Chicago
The University of Chicago is a private research university in Chicago, Illinois, USA. It was founded by the American Baptist Education Society with a donation from oil magnate and philanthropist John D. Rockefeller and incorporated in 1890...
, where he was a student of Saunders Mac Lane
Saunders Mac Lane
Saunders Mac Lane was an American mathematician who cofounded category theory with Samuel Eilenberg.-Career:...
and, unofficially, J. C. Robson. He then taught at Brandeis University
Brandeis University
Brandeis University is an American private research university with a liberal arts focus. It is located in the southwestern corner of Waltham, Massachusetts, nine miles west of Boston. The University has an enrollment of approximately 3,200 undergraduate and 2,100 graduate students. In 2011, it...
from 1970 to 1997, during which time he had visiting positions at Harvard University
Harvard University
Harvard University is a private Ivy League university located in Cambridge, Massachusetts, United States, established in 1636 by the Massachusetts legislature. Harvard is the oldest institution of higher learning in the United States and the first corporation chartered in the country...
, Institut des Hautes Études Scientifiques
Institut des Hautes Études Scientifiques
The Institut des Hautes Études Scientifiques is a French institute supporting advanced research in mathematics and theoretical physics...
(IHES), University of Bonn
University of Bonn
The University of Bonn is a public research university located in Bonn, Germany. Founded in its present form in 1818, as the linear successor of earlier academic institutions, the University of Bonn is today one of the leading universities in Germany. The University of Bonn offers a large number...
, and Centre national de la recherche scientifique
Centre national de la recherche scientifique
The National Center of Scientific Research is the largest governmental research organization in France and the largest fundamental science agency in Europe....
(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
American Mathematical Society
The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians.The society is one of the...
.
Eisenbud's mathematical interests include commutative
Commutative algebra
Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra...
and non-commutative algebra, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, and computational methods in these fields. He has written nearly 150 papers with over 50 co-authors. Notable contributions include the theory of matrix factorizations for maximal Cohen–Macaulay modules over hypersurface
Hypersurface
In geometry, a hypersurface is a generalization of the concept of hyperplane. Suppose an enveloping manifold M has n dimensions; then any submanifold of M of n − 1 dimensions is a hypersurface...
rings, the Eisenbud–Goto conjecture on degrees of generators of syzygy modules, and the Buchsbaum–Eisenbud criterion for exactness of a complex
Exact sequence
An exact sequence is a concept in mathematics, especially in homological algebra and other applications of abelian category theory, as well as in differential geometry and group theory...
. He has had 25 doctoral students, including Gregory G Smith, winner of the Andre Aisenstadt Prize in 2007.
Eisenbud's hobbies are juggling
Juggling
Juggling is a skill involving moving objects for entertainment or sport. The most recognizable form of juggling is toss juggling, in which the juggler throws objects up to catch and toss up again. This may be one object or many objects, at the same time with one or many hands. Jugglers often refer...
(he has written two papers on the mathematics of juggling) and music.
He was awarded the Leroy P. Steele Prize in 2010.
External links
See also
- Eisenbud–Levine–Khimshiashvili signature formulaEisenbud–Levine–Khimshiashvili signature formulaIn mathematics, and especially differential topology and singularity theory, the Eisenbud–Levine–Khimshiashvili signature formula gives a way of computing the Poincaré-Hopf index of a real, analytic vector field at an algebraicially isolated singularity. It is named after David Eisenbud, Harold...