Craig Huneke | Academic Influence

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Craig Huneke

Mathematics

#1714

World Rank

#2749

Historical Rank

#702

USA Rank

Measure Theory

#1167

World Rank

#1488

Historical Rank

#423

USA Rank

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Mathematics

Craig Huneke's Degrees

Bachelors Mathematics University of Kansas

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According to Wikipedia, Craig Lee Huneke is an American mathematician specializing in commutative algebra. He is a professor at the University of Virginia. Huneke graduated from Oberlin College with a bachelor's degree in 1973 and in 1978 earned a Ph.D. from the Yale University under Nathan Jacobson and David Eisenbud . As a post-doctoral fellow, he was at the University of Michigan. In 1979 he became an assistant professor and was at the Massachusetts Institute of Technology and the University of Bonn . In 1981 he became an assistant professor at Purdue University, where in 1984 he became an associate professor and became a professor in 1987. From 1994 to 1995 he was a visiting professor at the University of Michigan and in 1999 was at the Max Planck Institute for Mathematics in Bonn . In 1999, he was Henry J. Bischoff professor at the University of Kansas. In 2002 he was at MSRI. Since 2012 he has been Marvin Rosenblum professor at the University of Virginia.

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Craig Huneke'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 I (2012) (2412)
Integral closure of ideals, rings, and modules (2006) (786)
Tight closure, invariant theory, and the Briançon-Skoda theorem (1990) (564)
On the integral closure of ideals (2002) (327)
$F$-regularity, test elements, and smooth base change (1994) (303)
Tight closure and its applications (1996) (251)
Comparison of symbolic and ordinary powers of ideals (2002) (243)
Bass numbers of local cohomology modules (1993) (237)
Direct methods for primary decomposition (1992) (233)
Hilbert functions and symbolic powers. (1987) (217)
The theory of d-sequences and powers of ideals (1982) (191)
Tight closure and strong F-regularity (1989) (180)
The structure of linkage (1987) (168)
Two theorems about maximal Cohen–Macaulay modules (2002) (149)
On the Symmetric and Rees Algebra of an Ideal Generated by a d-sequence (1980) (146)
Cofiniteness and vanishing of local cohomology modules (1991) (144)
Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra (1994) (143)
Bounds on the regularity and projective dimension of ideals associated to graphs (2011) (142)
Infinite integral extensions and big Cohen-Macaulay algebras (1992) (139)
Tensor products of modules and the rigidity of Tor (1994) (138)
LINKAGE AND THE KOSZUL HOMOLOGY OF IDEALS (1982) (137)
Cohen-Macaulay Rees Algebras and Their Specialization (1983) (130)
ON THE ASSOCIATED GRADED RING OF AN IDEAL (1982) (129)
ARE SYMBOLIC POWERS HIGHLY EVOLVED (2011) (126)
On the vanishing of local cohomology modules (1990) (122)
Uniform bounds in noetherian rings (1992) (120)
Strongly Cohen-Macaulay schemes and residual intersections (1983) (107)
Birational extensions in dimension two and integrally closed ideals (1988) (107)
Applications of the Existence of Big Cohen-Macaulay Algebras (1995) (106)
INDECOMPOSABLE CANONICAL MODULES AND CONNECTEDNESS (2002) (91)
Symbolic Powers of Ideals (2015) (87)
Tensor products of modules, rigidity and local cohomology. (1997) (86)
What is the Rees algebra of a module (2002) (86)
Symmetry in the vanishing of Ext over Gorenstein rings (2003) (83)
Divisor Class Groups and Deformations (1985) (82)
Powers of ideals having small analytic deviation (1992) (80)
Complete Ideals in Two-Dimensional Regular Local Rings (1989) (79)
The regularity of Tor and graded Betti Numbers (2004) (77)
^-REGULARITY, TEST ELEMENTS, AND SMOOTH BASE CHANGE (2010) (76)
The primary components of and integral closures of ideals in 3-dimensional regular local rings (1986) (75)
A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions (1985) (71)
Residual intersections. (1988) (61)
An improved Briançon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras (1993) (58)
Absolute integral closure in positive characteristic (2006) (57)
Localization of tight closure and modules of finite phantom projective dimension. (1993) (57)
Reduction numbers, Briançon-Skoda theorems and the depth of Rees rings (1995) (56)
Hyman Bass and Ubiquity: Gorenstein Rings (2002) (55)
Tight Closure, Parameter Ideals, and Geometry (1998) (53)
ON A CONJECTURE OF AUSLANDER AND REITEN (2003) (52)
Symbolic powers of prime ideals and special graded algebras (1981) (51)
The dimension and components of symmetric algebras (1986) (50)
Tight closure and the Kodaira Vanishing Theorem. (1997) (48)
Tight closure and elements of small order in integral extensions (1991) (47)
Cores of ideals in $2$-dimensional regular local rings. (1995) (47)
On the finite generation of symbolic blow-ups (1982) (46)
Rees algebras of ideals having small analytic deviation (1993) (45)
Localization and test exponents for tight closure. (2002) (40)
Hilbert–Kunz Multiplicity and the F-Signature (2013) (39)
Integral closure of ideals and annihilators of homology (2004) (38)
The Koszul Homology of an Ideal (1985) (38)
Unmixed local rings with minimal Hilbert-Kunz multiplicity are regular (2001) (38)
On the symmetric algebra of a module (1981) (35)
Normal ideals in regular rings (1999) (34)
Gaussian polynomials and content ideals (1997) (33)
On the core of ideals (2004) (33)
Determinantal ideals of linear type (1986) (32)
Vanishing of Ext and Tor over Cohen-Macaulay local rings (2004) (31)
Uniform equivalence of symbolic and adic topologies (2009) (31)
Lectures on Local Cohomology (31)
F-Thresholds, tight closure, integral closure, and multiplicity bounds (2007) (31)
Vanishing of Ext, cluster tilting modules and finite global dimension of endomorphism rings (2010) (31)
Ordinary and symbolic powers are Golod (2012) (30)
Powers of Ideals Generated by Weak d-Sequences (1981) (29)
Numerical invariants of liaison classes (1984) (29)
The Friendship Theorem (2002) (29)
Tightly closed ideals (1988) (29)
Vanishing Theorems for Complete Intersections (2001) (29)
Fine behavior of symbolic powers of ideals (2007) (28)
Liaison of monomial ideals (2007) (28)
Powers of Licci Ideals (1989) (28)
Hilbert-Kunz Functions for Normal Rings (2004) (27)
ON THE SUPPORT OF LOCAL COHOMOLOGY (2009) (26)
Reduced normal cones are domains (1989) (26)
Fiber cones and the integral closure of ideals (2001) (25)
Symbolic powers of ideals defining F-pure and strongly F-regular rings (2017) (24)
Rings that are almost Gorenstein (2006) (22)
The Dedekind-Mertens Lemma and the contents of polynomials (1998) (22)
Some criteria for the Gorenstein property (2005) (21)
A theorem of Briançon-Skoda type for regular local rings containing a field (1996) (21)
D-modules, Bernstein-Sato polynomials and F-invariants of direct summands (2016) (20)
The projective dimension of codimension two algebra presented by quadrics (2013) (20)
Free resolutions in commutative algebra and algebraic geometry : Sundance 90 (1992) (19)
Absolute integral closures are big Cohen-Macaulay algebras in characteristic $P$ (1991) (19)
Correction to “Tensor products of modules and the rigidity of Tor”, Math. Annalen, 299 (1994), 449–476 (2007) (18)
Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings (2006) (18)
Expected resurgences and symbolic powers of ideals (2019) (18)
The arithmetic perfection of Buchsbaum-Eisenbud varieties and generic modules of projective dimension two (1981) (16)
Upper bound of multiplicity of F-pure rings (2015) (16)
Symbolic squares in regular local rings (1998) (16)
Uniform symbolic topologies and finite extensions (2015) (16)
Local properties of licci ideals (1992) (15)
A REMARK CONCERNING MULTIPLICITIES (1982) (15)
A tight closure approach to arithmetic macaulayfication (1996) (15)
A generalized Dedekind-Mertens lemma and its converse (2002) (15)
Minimal Homogenous Liaison and Licci Ideals (2007) (14)
A criterion for spots (1986) (14)
What is a system of parameters (2010) (13)
F-Rational Rings and the Integral Closures of Ideals II (2001) (13)
The saturation of frobenius powers of ideals (2000) (13)
Multiple structures with arbitrarily large projective dimension supported on linear subspaces (2016) (13)
Tight closure and strong test ideals (1997) (12)
A finiteness property of infinite resolutions (2005) (12)
Heights of ideals of minors (2002) (12)
Minimal linkage and the Gorenstein locus of an ideal (1988) (11)
Bounds on the Hilbert-Kunz multiplicity (2011) (11)
A tight bound on the projective dimension of four quadrics (2014) (11)
Multiplicity bounds in graded rings (2009) (10)
Rigid Ideals in Gorenstein Rings of Dimension One (2018) (10)
A Quick Proof of the Hartshorne-Lichtenbaum Vanishing Theorem (1994) (10)
Order ideals and a generalized Krull height theorem (2002) (10)
A simple proof of some generalized principal ideal theorems (2001) (10)
Absolute Integral Closure (2014) (10)
Almost complete intersections and factorial rings (1981) (9)
Liasion of monomial curves in P3 (1986) (9)
Uniform symbolic topologies in abelian extensions (2019) (9)
Special tight closure (2014) (9)
On the integral closure of ideals (1998) (9)
A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property (2014) (9)
An algebraist commuting in Berkeley (1989) (9)
Residual intersections of Licci ideals are Glicci (2012) (9)
The height of ideals and regular sequences (1997) (8)
On the structure of certain normal ideals (1992) (8)
Reduction numbers, Rees algebras and Pfaffian ideals (1995) (8)
A criterion for intersection multiplicity one (1985) (8)
A generalization of an inequality of Lech relating multiplicity and colength* (2017) (8)
Ideals defining Gorenstein rings are (almost) never products (2007) (8)
Rings which are almost Gorenstein (2004) (8)
Desingularizations and the Uniform Artin–Rees Theorem (2000) (8)
Local rings of countable Cohen-Macaulay type (2002) (8)
Iterated socles and integral dependence in regular rings (2014) (7)
Frobenius Betti numbers and modules of finite projective dimension (2014) (7)
Criteria for Complete Intersections (1985) (7)
Complete Local Domains of Type Two are Cohen‐Macaulay (1985) (7)
Fitting ideals and finite projective dimension (2005) (7)
The invariants of liaison (1983) (6)
SOME DIMENSION 3 CASES OF THE CANONICAL ELEMENT CONJECTURE (1986) (6)
Quasilength, latent regular sequences, and content of local cohomology (2009) (6)
On reduction exponents of ideals with Gorenstein formring (1995) (6)
On the normality of the rings of Schubert varieties (1982) (6)
Bounds on the regularity and projective dimension of ideals associated to graphs (2012) (6)
A characterization of Kempf varieties by means of standard monomials and the geometric consequences (1985) (6)
INTRODUCTION TO UNIFORMITY IN COMMUTATIVE ALGEBRA (2014) (5)
A cancellation theorem for ideals (2000) (5)
Zeros of differentials along one-fibered ideals (1990) (5)
Prime filtrations of the powers of an ideal (2014) (5)
On The Structure Of Gorenstein Ideals Of Deviation Two (1996) (4)
Bounding the first Hilbert coefficent (2011) (4)
Commutative algebra : proceedings of a microprogram held June 15-July 2, 1987 (1989) (4)
Residual intersections and the number of equations defining projective varieties (1995) (4)
IDEALS GENERATED BY 4 QUADRIC POLYNOMIALS (2014) (3)
Corrigendum to “Uniform symbolic topologies and finite extensions” [J. Pure Appl. Algebra 219 (2015) 543–550] (2021) (3)
Expected Resurgence of Ideals Defining Gorenstein Rings (2020) (3)
Asymptotic Lech's inequality (2019) (3)
AN EXCELLENT F -PURE RING OF PRIME CHARACTERISTIC HAS A BIG TIGHT CLOSURE TEST ELEMENT (2010) (2)
Multiple Structures with Arbitrarily Large Projective Dimension on Linear Subspaces (2013) (1)
Trends in Commutative Algebra (2011) (1)
3-standardness of the maximal ideal (2011) (1)
Hilbert-Kunz multiplicities and the F-signature (2014) (1)
The notion of tight closure in equal characteristic zero (Appendix 1) (1996) (1)
Three-Standardness of the Maximal Ideal (2010) (1)
THE TOR GAME (2001) (1)
A characterization of locally Macaulay completions. (1981) (1)
Resolutions of almost complete intersections (1992) (1)
Torsion in differentials and Berger’s conjecture (2021) (1)
Residual Intersections and Linear Powers (2020) (1)
Upper bound of multiplicity of F-rational rings and F-pure rings (2013) (1)
Colon-capturing and direct summands of regular rings (Chapter 3) (1996) (0)
Rigid Ideals in Gorenstein Rings of Dimension One (2019) (0)
Big Cohen-Macaulay algebras II (Chapter 8) (1996) (0)
Integral closure and tight closure (Chapter 5) (1996) (0)
Enumerative and Algebraic Aspects of Slope Varieties (2011) (0)
F-Rational rings and rational singularities (Chapter 4) (1996) (0)
Commutative Algebra III (2012) (0)
A C ] 3 A pr 2 00 6 ABSOLUTE INTEGRAL CLOSURE IN POSITIVE CHARACTERISTIC (2019) (0)
A CRITERION FOR INTERSECTION MULTIPLICITY ONE RUDIGER ACHILLES, CRAIG HUNEKE AND WOLFGANG VOGEL (2004) (0)
Examples of Commutative Rings. By Harry C. Hutchins (1985) (0)
The Hilbert-Kunz multiplicity (Chapter 6) (1996) (0)
A C ] 1 6 Se p 20 02 A CANCELLATION THEOREM FOR IDEALS (2002) (0)
Uniform Artin-Rees theorems (Chapter 11) (1996) (0)
Commutative algebra : syzygies, multiplicities, and birational algebra : AMS-IMS-SIAM Summer Research Conference on Commutative Algebra, July 4-10, 1992, Mount Holyoke College (1994) (0)
A prehistory of tight closure (Chapter 0) (1996) (0)
Basic Notions (Chapter 1) (1996) (0)
Phantom homology (Chapter 10) (1996) (0)
Commutative Algebra II (2012) (0)
Solutions to exercises (Appendix 2) (1996) (0)
The mathematical contributions of Craig Huneke (2021) (0)
Trends in Commutative Algebra: Preface (2004) (0)
On the Equality of Test Ideals (2023) (0)
Errata and Minor Additions for Integral Closure of Ideals, Rings, and Modules by (2013) (0)
Erratum to ¿Preface (A Special Issue in Honour of Wolmer Vasconcelos)¿ [J. Pure Appl. Algebra 201(1¿3) (2005) 1¿3] (2006) (0)
Remembering David Buchsbaum (2022) (0)
Contemporary Mathematics Minimal Homogenous Liaison and Licci Ideals (2007) (0)
Applications of big Cohen-Macaulay algebras (Chapter 9) (1996) (0)
A ug 2 00 4 SOME ASYMPTOTIC PROPERTIES OF THE REES POWERS OF A MODULE (2018) (0)
Introduction to uniformityin commutative algebra (2015) (0)
LECTURES ON MULTIPLICITY CONJECTURES (2009) (0)
The localization problem (Chapter 12) (1996) (0)
Test elements and the persistence of tight closure (Chapter 2) (1996) (0)
Book Review: Homological Questions in Local Algebra (1992) (0)
Regular base change (Chapter 13) (1996) (0)
NORMAL IDEALS IN REGULAR RINGSSam (0)
TIGHT CLOSURE , INTEGRAL CLOSURE , AND MULTIPLICITY BOUNDS (0)
for all primes p in R. If I is an ideal in R, $y grade(I) we demote the length of a maximal R-sequence in I. We may now st.ate t ain result. (1981) (0)
HEIGHTS OF IDEALS OF MINORS By DAVID EISENBUD, CRAIG HUNEKE, and BERND ULRICH (2004) (0)

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