D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 52 Citations 9,368 174 World Ranking 696 National Ranking 352

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

1982 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Pure mathematics
  • Combinatorics

His primary areas of investigation include Pure mathematics, Discrete mathematics, Tight closure, Commutative ring and Combinatorics. In the field of Pure mathematics, his study on Finitely-generated abelian group overlaps with subjects such as Hilbert's twelfth problem. His Discrete mathematics research integrates issues from Gravitational singularity and Homology.

His research investigates the link between Homology and topics such as Local ring that cross with problems in Noetherian. His Tight closure study incorporates themes from System of parameters, Closure, Invariant theory, Prime characteristic and Base change. His studies in Commutative ring integrate themes in fields like Ideal and Noetherian ring.

His most cited work include:

  • Integral closure of ideals, rings, and modules (546 citations)
  • Tight closure, invariant theory, and the Briançon-Skoda theorem (537 citations)
  • Tight closure, invariant theory, and the Briançon-Skoda theorem (537 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Pure mathematics, Discrete mathematics, Local ring, Combinatorics and Algebra. Specifically, his work in Pure mathematics is concerned with the study of Commutative algebra. His Discrete mathematics study also includes

  • Tight closure that intertwine with fields like System of parameters,
  • Rees algebra that connect with fields like Symmetric algebra.

His Local ring study combines topics from a wide range of disciplines, such as Noetherian, Type, Homology, Regular sequence and Torsion. He combines subjects such as Multiplicity, Isolated singularity and Polynomial ring with his study of Combinatorics. As a part of the same scientific study, Craig Huneke usually deals with the Ring, concentrating on Local cohomology and frequently concerns with Cohomology.

He most often published in these fields:

  • Pure mathematics (57.62%)
  • Discrete mathematics (34.29%)
  • Local ring (33.33%)

What were the highlights of his more recent work (between 2011-2021)?

  • Pure mathematics (57.62%)
  • Combinatorics (21.90%)
  • Multiplicity (13.81%)

In recent papers he was focusing on the following fields of study:

His primary scientific interests are in Pure mathematics, Combinatorics, Multiplicity, Local ring and Polynomial ring. His work carried out in the field of Pure mathematics brings together such families of science as Ring, Local cohomology and Ideal. His research integrates issues of Resolution and Isolated singularity in his study of Combinatorics.

His Local ring research is multidisciplinary, relying on both Tensor product, Torsion, Primary ideal, Betti number and Inequality. His biological study spans a wide range of topics, including Discrete mathematics and Quadric. His Discrete mathematics study focuses on Ideal in particular.

Between 2011 and 2021, his most popular works were:

  • Bounds on the regularity and projective dimension of ideals associated to graphs (124 citations)
  • Symbolic Powers of Ideals (51 citations)
  • Hilbert–Kunz Multiplicity and the F-Signature (33 citations)

In his most recent research, the most cited papers focused on:

  • Algebra
  • Pure mathematics
  • Combinatorics

Craig Huneke mostly deals with Pure mathematics, Multiplicity, Polynomial ring, Combinatorics and Discrete mathematics. He studies Pure mathematics, focusing on Conjecture in particular. The various areas that Craig Huneke examines in his Multiplicity study include Codimension, Upper and lower bounds and Local ring.

When carried out as part of a general Local ring research project, his work on Regular local ring is frequently linked to work in Bounding overwatch, therefore connecting diverse disciplines of study. As a member of one scientific family, Craig Huneke mostly works in the field of Combinatorics, focusing on Projective test and, on occasion, Dimension. The study of Discrete mathematics is intertwined with the study of Field in a number of ways.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Integral closure of ideals, rings, and modules

Craig Huneke;Irena Swanson.
(2006)

937 Citations

Integral closure of ideals, rings, and modules

Craig Huneke;Irena Swanson.
(2006)

937 Citations

Tight closure, invariant theory, and the Briançon-Skoda theorem

Melvin Hochster;Craig Huneke;Craig Huneke.
Journal of the American Mathematical Society (1990)

634 Citations

Tight closure, invariant theory, and the Briançon-Skoda theorem

Melvin Hochster;Craig Huneke;Craig Huneke.
Journal of the American Mathematical Society (1990)

634 Citations

$F$-regularity, test elements, and smooth base change

Melvin Hochster;Craig Huneke.
Transactions of the American Mathematical Society (1994)

316 Citations

$F$-regularity, test elements, and smooth base change

Melvin Hochster;Craig Huneke.
Transactions of the American Mathematical Society (1994)

316 Citations

Tight closure and its applications

Craig Huneke.
(1996)

298 Citations

Tight closure and its applications

Craig Huneke.
(1996)

298 Citations

Direct methods for primary decomposition

David Eisenbud;Craig Huneke;Wolmer Vasconcelos.
Inventiones Mathematicae (1992)

288 Citations

Direct methods for primary decomposition

David Eisenbud;Craig Huneke;Wolmer Vasconcelos.
Inventiones Mathematicae (1992)

288 Citations

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