2026 Melvin Hochster: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	38	2295	2032	971	809	109	8504

Melvin Hochster publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Melvin Hochster sits on this spectrum.

42 publications 537+

This scientist: 109 publications — 15th percentile

15% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Melvin Hochster D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Melvin Hochster sits on this spectrum.

30 D-Index 86+

This scientist: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

1992 - Fellow of the American Academy of Arts and Sciences
1992 - Member of the National Academy of Sciences
1981 - Fellow of John Simon Guggenheim Memorial Foundation
1980 - Frank Nelson Cole Prize in Algebra

Overview

Melvin Hochster is affiliated with the University of Michigan-Ann Arbor, located in the United States. Their research primarily falls within the broad field of Mathematics, encompassing 39 publications. The scientist's work spans several subfields, including Algebra and Number Theory, Geometry and Topology, Computational Theory and Mathematics, Mathematical Physics, and Discrete Mathematics and Combinatorics.

The main topics covered in their research include:

Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Commutative Algebra and Its Applications
Rings, Modules, and Algebras
Advanced Topics in Algebra
Polynomial and algebraic computation
Advanced Algebra and Geometry

Among recent publications authored by Melvin Hochster are the following papers:

"The F-rational signature and drops in the Hilbert-Kunz multiplicity," 2022, Algebra & Number Theory
"When are the natural embeddings of classical invariant rings pure?," 2023, Forum of Mathematics Sigma
"A Jacobian criterion for nonsingularity in mixed characteristic," 2021, arXiv (Cornell University)
"Extensions of primes, flatness, and intersection flatness," 2021, Contemporary mathematics - American Mathematical Society
"The Eisenbud-Green-Harris conjecture for defect two quadratic ideals," 2020, Mathematical Research Letters

Frequent collaborators of this scientist include Jack Jeffries, Yongwei Yao, Tigran Ananyan, Vaibhav Pandey, and Anurag K. Singh. These coauthors have contributed to multiple joint works, with Jack Jeffries being a collaborator on six publications.

Melvin Hochster has published extensively in several venues that appear frequently in their publication record, including:

arXiv (Cornell University)
Transactions of the American Mathematical Society
Mathematical Research Letters
Journal of Algebra
Algebra & Number Theory

The scientist has been recognized by several awards and honors, such as:

Member of the National Academy of Sciences (1992)
Fellow of the American Academy of Arts and Sciences (1992)
Fellow of John Simon Guggenheim Memorial Foundation (1981)
Frank Nelson Cole Prize in Algebra (1980)

Best Publications

Prime ideal structure in commutative rings

Melvin Hochster

955
Citations
Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

M. Hochster

800
Citations
Tight closure, invariant theory, and the Briançon-Skoda theorem

Melvin Hochster;Craig Huneke;Craig Huneke

654
Citations
Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

M. Hochster;John A. Eagon

617
Citations
Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay

Melvin Hochster;Joel L Roberts

595
Citations
Topics in the Homological Theory of Modules over Commutative Rings

M. Hochster

367
Citations
The purity of the Frobenius and local cohomology

Melvin Hochster;Melvin Hochster;Joel L Roberts;Joel L Roberts

359
Citations
$F$-regularity, test elements, and smooth base change

Melvin Hochster;Craig Huneke

328
Citations
Comparison of symbolic and ordinary powers of ideals

Melvin Hochster;Craig Huneke

296
Citations
Tight closure and strong F-regularity

Melvin Hochster;Craig Huneke

226
Citations
Infinite integral extensions and big Cohen-Macaulay algebras

Melvin Hochster;Craig Huneke

208
Citations
Contracted ideals from integral extensions of regular rings

M. Hochster

207
Citations
Cyclic purity versus purity in excellent Noetherian rings

Melvin Hochster

197
Citations
Canonical elements in local cohomology modules and the direct summand conjecture

Melvin Hochster

179
Citations
Criteria for equality of ordinary and symbolic powers of primes

Melvin Hochster

151
Citations
INDECOMPOSABLE CANONICAL MODULES AND CONNECTEDNESS

Melvin Hochster;Craig Huneke

120
Citations
A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions

David Eisenbud;David Eisenbud;Melvin Hochster;Melvin Hochster

110
Citations
Applications of the Existence of Big Cohen-Macaulay Algebras

Melvin Hochster;Craig Huneke

108
Citations
The Frobenius structure of local cohomology

Florian Enescu;Melvin Hochster

107
Citations
Modules of finite projective dimension with negative intersection multiplicities.

Sankar P. Dutta;M. Hochster;J. E. McLaughlin

105
Citations

Frequent Co-Authors

Craig Huneke University of Virginia

Luchezar L. Avramov University of Nebraska–Lincoln

External Links

Wikipedia of Melvin Hochster Personal website of Melvin Hochster

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