David Eisenbud | Academic Influence

David Eisenbud's AcademicInfluence.com Rankings

David Eisenbud

Mathematics

#218

World Rank

#487

Historical Rank

#101

USA Rank

Algebra

#22

World Rank

#44

Historical Rank

#9

USA Rank

Measure Theory

#304

World Rank

#466

Historical Rank

#133

USA Rank

mathematics Degrees

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Mathematics

David Eisenbud's Degrees

PhD Mathematics University of Chicago

Why Is David Eisenbud Influential?

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According to Wikipedia, David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California, Berkeley and former director of the then Mathematical Sciences Research Institute , now known as Simons Laufer Mathematical Sciences Institute . He served as Director of MSRI from 1997 to 2007, and then again from 2013 to 2022.

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David Eisenbud's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Commutative Algebra: with a View Toward Algebraic Geometry (1995) (5576)
Homological algebra on a complete intersection, with an application to group representations (1980) (692)
Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3 (1977) (650)
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (1986) (571)
The Geometry Of Schemes (1992) (520)
Linear Free Resolutions and Minimal Multiplicity (1984) (519)
Binomial Ideals (1994) (430)
3264 and All That: A Second Course in Algebraic Geometry (2016) (337)
Limit linear series: Basic theory (1986) (317)
The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry (2004) (315)
Curves in projective space (1982) (311)
The Kodaira dimension of the moduli space of curves of genus ≧23 (1987) (299)
What Makes a Complex Exact (1973) (294)
Young diagrams and determinantal varieties (1980) (283)
Resultants and Chow forms via exterior syzygies (2001) (276)
Cayley-Bacharach theorems and conjectures (1996) (253)
Direct methods for primary decomposition (1992) (233)
Divisors on general curves and cuspidal rational curves (1983) (221)
An Algebraic Formula for the Degree of a C ∞ Map Germ (1977) (215)
Betti numbers of graded modules and cohomology of vector bundles (2007) (194)
Sheaf Cohomology and Free Resolutions over Exterior Algebras (2000) (172)
Computations in Algebraic Geometry with Macaulay 2 (2001) (160)
Generic free resolutions and a family of generically perfect ideals (1975) (152)
Restricting linear syzygies: algebra and geometry (2004) (152)
LINEAR SECTIONS OF DETERMINANTAL VARIETIES (1988) (151)
Existence, decomposition, and limits of certain Weierstrass points (1987) (146)
Generating modules efficiently: Theorems from algebraic K-theory (1973) (144)
Some structure theorems for finite free resolutions (1974) (133)
The Clifford dimension of a projective curve (1989) (132)
Cohen-Macaulay Rees Algebras and Their Specialization (1983) (130)
Initial Ideals, Veronese Subrings, and Rates of Algebras (1993) (120)
Transverse foliations of Seifert bundles and self homeomorphism of the circle (1981) (119)
Classical Algebraic Geometry (2019) (117)
Hereditary Noetherian Prime Rings (1970) (114)
Introduction to Dimension Theory (1995) (111)
Every algebraic set inn-space is the intersection ofn hypersurfaces (1973) (109)
Ribbons and their canonical embeddings (1995) (108)
A simpler proof of the Gieseker-Petri theorem on special divisors (1983) (107)
Determinantal Equations for Curves of High Degree (1988) (106)
Roots of Commutative Algebra (1995) (101)
A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions (1979) (95)
Lattice Walks and Primary Decomposition (1998) (92)
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports (2000) (91)
Vector spaces of matrices of low rank (1988) (89)
On the normal bundles of smooth rational space curves (1981) (88)
What is the Rees algebra of a module (2002) (86)
Irreducibility of some families of linear series with Brill-Noether number. I (1989) (85)
The Projective Geometry of the Gale Transform (1998) (84)
Serial Rings (1971) (81)
The regularity of Tor and graded Betti Numbers (2004) (77)
The classification of homogeneous Cohen-Macaulay rings of finite representation type (1988) (76)
Juggling Drops and Descents (1994) (75)
Modules over Dedekind prime rings (1970) (73)
Hyperplane arrangement cohomology and monomials in the exterior algebra (1999) (70)
What annihilates a module (1977) (70)
Regularity of modules over a Koszul algebra (1992) (65)
The structure of serial rings. (1971) (64)
Subrings of Artinian and Noetherian rings (1970) (61)
3264 and all that (2016) (58)
Irreducibility and monodromy of some families of linear series (1987) (56)
The Existence of Pure Free Resolutions (2007) (56)
Evolutions, symbolic squares, and Fitting ideals. (1995) (53)
Cohen-Macaulay modules on quadrics (1987) (51)
Lagrangian subbundles and codimension 3 subcanonical subschemes (2001) (51)
Commutative algebra and noncommutative algebraic geometry (2015) (50)
Powers of Ideals and Fibers of Morphisms (2008) (46)
Gale duality and free resolutions of ideals of points (1996) (46)
When Ramification points meet (1987) (41)
Small schemes and varieties of minimal degree (2004) (41)
Solving Polynomial Equations (2005) (40)
Notes on regularity stabilization (2012) (40)
On the variety of smooth rational space curves with given degree and normal bundle (1982) (39)
Remarks on Points in a Projective Space (1989) (37)
Non-commutative Gröbner bases for commutative algebras (1998) (35)
Clifford indices of ribbons (1995) (35)
On the Hurwitz scheme and its monodromy (1991) (35)
Sheaf algorithms using the exterior algebra (2002) (34)
EXTERIOR ALGEBRA METHODS FOR THE MINIMAL RESOLUTION CONJECTURE (2000) (32)
Schemes : the language of modern algebraic geometry (1992) (32)
Hilbert Functions, Residual Intersections, and Residually S2 Ideals (2001) (30)
Boij–Söderberg Theory (2011) (30)
Cohomology of coherent sheaves and series of supernatural bundles (2009) (29)
Betti Numbers of Syzygies and Cohomology of Coherent Sheaves (2011) (28)
An algebraic approach to the topological degree of a smooth map (1978) (28)
Computational Algebraic Geometry and Commutative Algebra : Cortona 1991 (1993) (27)
Rank Varieties of Matrices (1989) (25)
Finding sparse systems of parameters (1993) (24)
Progress in the theory of complex algebraic curves (1989) (24)
Minimal Free Resolutions over Complete Intersections (2016) (23)
Three conjectures about modules over polynomial rings (1973) (23)
Commutative algebra, algebraic geometry, and computational methods (1999) (23)
Computational Algebraic Gedometry and Commutative Algebra. (1995) (23)
A generalized principal ideal theorem (1976) (22)
On the Resiliency of Determinantal Ideals (1987) (20)
Tate Resolutions for Products of Projective Spaces (2014) (20)
LIFTING MODULES AND A THEOREM ON FINITE FREE RESOLUTIONS (1972) (20)
Free resolutions in commutative algebra and algebraic geometry : Sundance 90 (1992) (19)
Fibers of generic projections (2008) (19)
Remarks on regular sequences (1977) (19)
On the Number of Generators of Ideals in Local Cohen-Macaulay Rings (1979) (19)
Categorified duality in Boij–Söderberg theory and invariants of free complexes (2012) (19)
Mathematics Comes from Many Sources (2001) (19)
Syzygies of torsion bundles and the geometry of the level ℓ modular variety over $\overline{\mathcal{M}}_{g}$ (2012) (19)
The dimension of the Chow variety of curves (1992) (18)
Row ideals and fibers of morphisms (2007) (17)
Enriques surfaces and other non-pfaffian subcanonical subschemes of codimension 3 (1999) (16)
Some linear syzygy conjectures (1991) (15)
Projective resolutions of Cohen-Macaulay algebras (1981) (15)
Relative Beilinson monad and direct image for families of coherent sheaves (2005) (14)
Lectures on the Geometry of Syzygies (2005) (13)
Adic approximation of complexes, and multiplicities (1974) (13)
Transcanonical embeddings of hyperelliptic curves (1980) (13)
A finiteness property of infinite resolutions (2005) (12)
Duality and socle generators for residual intersections (2013) (12)
Filtering free resolutions (2010) (12)
Heights of ideals of minors (2002) (12)
Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals (1988) (11)
Periodic resolutions over exterior algebras (2002) (11)
Cohomology of certain projective surfaces with low sectional genus and degree (1999) (11)
A simple proof of some generalized principal ideal theorems (2001) (10)
Equations and Syzygies of K3 Carpets and Unions of Scrolls (2018) (10)
Order ideals and a generalized Krull height theorem (2002) (10)
Matrix Factorizations for Complete Intersections and Minimal Free Resolutions (2013) (10)
Limit linear series, the irrationality of $M_g $, and other applications (1984) (9)
The topological degree of a finite C∞ map germ (1976) (9)
Decomposition of Semigroup Algebras (2011) (8)
The monodromy of Weierstrass points (1987) (8)
Modules of Differentials (1995) (8)
On the Brill-Noether theorem (1983) (8)
Hilbert series of residual intersections (2013) (7)
Basic elements: Theorems from algebraic $K$-theory (1972) (7)
Stabilization of the Regularity of Powers of An Ideal (2010) (7)
A Note on the Intersection of Veronese Surfaces (2003) (6)
Fitting’s Lemma for $\mathbb {Z}/2$-graded modules (2003) (6)
The banks of the cohomology river (2011) (6)
Some directions of recent progress in commutative algebra (1975) (6)
FITTING’S LEMMA FOR Z = 2 -GRADED MODULES (2003) (5)
Groups of order automorphisms of certain homogeneous ordered sets. (1969) (5)
The ReesAlgebra package in Macaulay2 (2017) (5)
Modules that are finite birational algebras (1997) (5)
IDEALS OF MINORS IN FREE RESOLUTIONS (1994) (5)
The Regularity of the Conductor (2013) (5)
Enriched free resolutions and change of rings (1977) (5)
Nets of Alternating Matrices and the Linear Syzygy Conjectures (1994) (4)
Correspondence Scrolls (2018) (4)
Residual Intersections and Duality (2013) (4)
Projective geometry and homological algebra (2002) (4)
Layered resolutions of Cohen–Macaulay modules (2020) (4)
Beyond Numerics: The Existence of Pure Filtrations (2010) (3)
Twenty Points in P 3 (2012) (3)
Projective summands in generators (1982) (3)
Hilbert Functions and Residually S 2 Ideals (1996) (3)
A Fitting Lemma for Z/2-graded modules (2002) (3)
Tor as a module over an exterior algebra (2018) (3)
Linearity of free resolutions of monomial ideals (2022) (3)
The geometry of 2-regular algebraic sets (2004) (3)
On a problem in linear algebra (1973) (3)
Quadratic complete intersections (2019) (2)
An Exterior View Of Modules And Sheaves (2003) (2)
Syzygies, degrees, and choices from a life in mathematics. Retiring Presidential Address (2007) (2)
Computation of Cohomology (1998) (2)
Tate Resolutions for Products of Projective Spaces (2015) (2)
3264 and all that: The Grothendieck Riemann–Roch theorem (2016) (2)
Jet Schemes of Locally Complete Intersection Canonical Singularities by Mircea Mustat¸ˇa with an Appendix (2001) (1)
Tate Resolutions on Products of Projective Spaces: Cohomology and Direct Image Complexes (2019) (1)
Tate resolutions and MCM approximations (2021) (1)
A SUMMER SCHOOL IN CATANIA (1999) (1)
Standard decompositions in generic coordinates (2013) (1)
Fibers of Projections and Submodules of Deformations (2009) (1)
Residual Intersections and Linear Powers (2020) (1)
Notes on an extension of Krull's principal ideal theorem (1975) (1)
Maryam Mirzakhani: 1977–2017 (2018) (1)
Fundamental Definitions of Dimension Theory (1995) (0)
State of Grace (2008) (0)
Algebraic Geometry. An Introduction to Birational of Algebraic Varieties. (1984) (0)
Singular elements of linear series (2016) (0)
Gambling With U.S. Science (2004) (0)
preamble.tex. (2019) (0)
Duality, Canonical Modules, and Gorenstein Rings (1995) (0)
Maps from curves to projective space (2016) (0)
Projective bundles and their Chow rings (2016) (0)
The Dimension of Affine Rings (1995) (0)
Dimension and Hilbert-Samuel Polynomials (1995) (0)
Chapter V: Relation to Plumbing (1986) (0)
Grassmannians in general (2016) (0)
Tate Resolutions and Maximal Cohen-Macaulay Approximations (2019) (0)
Correspondence Scrolls (2018) (0)
HEIGHTS OF IDEALS OF MINORS By DAVID EISENBUD, CRAIG HUNEKE, and BERND ULRICH (2004) (0)
Computational Aspects of Commutative Algebra and Algebraic Geometry (Dagstuhl Seminar 9722) (2021) (0)
Chapter IV: Examples (1986) (0)
Introduction and Survey (2016) (0)
Appendix to Chapter I: Algebraic Links (1986) (0)
Free Resolutions and Fitting Invariants (1995) (0)
Book Review: Algorithms in Real Algebraic Geometry by S. Basu, R. Pollack, and M.-F. Roy (2007) (0)
Finite Resolutions of HMF Modules (2016) (0)
Non-commutative CI operators (2019) (0)
Depth, Codimension, and Cohen-Macaulay Rings (1995) (0)
Chapter II: Classification (1949) (0)
Filtrations and the Artin-Rees Lemma (1995) (0)
A Note about David Buchsbaum (2000) (0)
Segre classes and varieties of linear spaces (2016) (0)
Minimal Resolutions Over Codimension 2 Complete Intersections (2018) (0)
Maximal Cohen-Macaulay Approximations and Minimal Free Resolutions over Complete Intersections (2016) (0)
A National Mathematics Festival and a Movement (2017) (0)
Chapter I: Foundations (1986) (0)
F. S. Macaulay: From plane curves to Gorenstein rings (2023) (0)
Compactifying parameter spaces (2016) (0)
Homological Theory of Regular Local Rings (1995) (0)
Burch Index, Summands of Syzygies and Linearity in Resolutions (2022) (0)
Introducing the Chow ring (2016) (0)
Direct images, cohomology and base change (2016) (0)
Elimination Theory, Generic Freeness, and the Dimension of Fibers (1995) (0)
Hyperelliptic curves and Ulrich sheaves on the complete intersection of two quadrics (2022) (0)
The Principal Ideal Theorem and Systems of Parameters (1995) (0)
The Gorenstein Case (2016) (0)
Residual Intersections of $2\times n$ Determinantal Ideals (2022) (0)
C. Using Macaulay 2 (1999) (0)
Lines on hypersurfaces (2016) (0)
Introduction to Grassmannians and lines in ℙ3 (2016) (0)
Associated Primes and Primary Decomposition (1995) (0)
Regular Sequences and the Koszul Complex (1995) (0)
Seminar D. Eisenbud/B. Singh/W. Vogel (1980) (0)
Book Review: Algorithms in Real Algebraic Geometry (2007) (0)
Completions and Hensel’s Lemma (1995) (0)
Equations and Syzygies of K3 Carpets and Unions of Scrolls (2019) (0)
Opinion: A National Mathematics Festival and a Movement (2017) (0)
Algebraic Geometry. An Introduction to Birational Geometry of Algebraic Varieties. By Shigeru Iitaka (1984) (0)
The Regularity of the Conductor ∗† Dedicated to Joe Harris, who has taught us so much, on the occasion of his 60th Birthday (2013) (0)
The Amazing Variety of Public Math (2019) (0)
A Word from... Kirsten Bohl and David Eisenbud (2021) (0)
A pr 2 00 1 Jet Schemes of Locally Complete Intersection Canonical Singularities by Mircea Mustaţǎ with an appendix by (2022) (0)
Integral Dependence and the Nullstellensatz (1995) (0)
Remembering David Buchsbaum (2022) (0)
Chapter III: Invariants (1986) (0)
Matrix Factorizations of One Element (2016) (0)
Lagrangian Subbundles and Codimension 3 Subcanonical Subscheme (1999) (0)
A National Math Festival (2015) (0)
Linearity of free resolutions of monomial ideals (2022) (0)
Topology of algebraic varieties (2016) (0)
Corrigendum: Filtering free resolutions (2014) (0)
Class I: Mathematical and Physical Sciences Section 1: Mathematics (2007) (0)
Dimension and Codimension One (1995) (0)
CHAINS OF MAPS BETWEEN INDECOMPOSABLE MODULES (1998) (0)
Decomposition of Monomial Algebras: Applications and Algorithms (2012) (0)
Current events sessions (2004) (0)
Chains of maps between indecomposable (1998) (0)
Excess intersections and the Chow ring of a blow-up (2016) (0)
Minimal Resolutions Over Codimension 2 Complete Intersections (2018) (0)
Mathematics at the Airport? Why Sure! (2022) (0)
The moving lemma (2016) (0)
Report on normal bundles of curves in ℙ 3 (1981) (0)

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