Commutative Algebra and Its Applications
Commutative Algebra and Its Applications is a research topic within Algebra and Number Theory. Science Explorer counts 10k research works in it since 1950. 15.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the algebraic properties of monomial ideals, including their graded Betti numbers, local cohomology modules, symbolic powers, edge ideals, Cohen-Macaulay modules, Stanley depth, toric algebra, regularity bounds, and their connections to combinatorial topology.
- Monomial Ideals
- Graded Betti Numbers
- Local Cohomology Modules
- Symbolic Powers
- Edge Ideals
- Cohen-Macaulay Modules
- Stanley Depth
- Toric Algebra
- Regularity Bounds
- Combinatorial Topology
- Research works
- 10k fractional, since 1950
- In the world top 10%
- 1.5k per year above
- Top-10% rate
- 15.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +2% the tick is no change
Which countries lead Commutative Algebra and Its Applications research?
By volume, the United States and India publish the most (257 and 110 works in 2022–2025).
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Commutative Algebra and Its Applications research?
By volume in 2022–2025, Chennai Mathematical Institute publishes the most Commutative Algebra and Its Applications research, followed by Centre National de la Recherche Scientifique and Indian Institute of Technology Bombay.
By volume, 2022–2025
- 1 Chennai Mathematical Institute India 12 works
- 2 Centre National de la Recherche Scientifique France 12 works
- 3 Indian Institute of Technology Bombay India 11 works
- 4 University of Messina Italy 10 works
- 5 The University of Osaka Japan 10 works
- 6 Purdue University West Lafayette United States 9 works
- 7 Sidi Mohamed Ben Abdellah University Morocco 8 works
- 8 University of Genoa Italy 8 works
- 9 Universitat de Barcelona Spain 8 works
- 10 University of Notre Dame United States 8 works
Who are the leading researchers in Commutative Algebra and Its Applications?
The most-cited researchers publishing on Commutative Algebra and Its Applications include Avi Wigderson, Vladimir I. Arnold and Alexander Schrijver.
- 1 Avi Wigderson 1.8k citations
- 2 Vladimir I. Arnold 1.5k citations
- 3 Alexander Schrijver 1.2k citations
- 4 Nathan O. Kaplan 1.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Commutative Algebra and Its Applications research done?
The largest centres of Commutative Algebra and Its Applications research in 2022–2025 are Tehran (Iran), Tokyo (Japan), Paris (France) and Moscow (Russia).
Where is the best place to study Commutative Algebra and Its Applications?
Among universities, judged by research, University of Messina, Chennai Mathematical Institute and Indian Institute of Technology Bombay score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | University of Messina Italy | 71.1 | 44.8% | 31.5× | 10 | -4.2% |
| 2 | Chennai Mathematical Institute India | 61.4 | 19.5% | 158.7× | 12 | +16.4% |
| 3 | Indian Institute of Technology Bombay India | 57.5 | 7.3% | 19.5× | 11 | +188.1% |
| 4 | The University of Osaka Japan | 52.0 | 19.1% | 11.8× | 10 | +65.5% |
| 5 | University of Genoa Italy | 41.7 | 19.5% | 18.4× | 8 | +3.1% |
| 6 | Sidi Mohamed Ben Abdellah University Morocco | 32.1 | 7.3% | 23.1× | 8 | +19.1% |
| 7 | Purdue University West Lafayette United States | 30.8 | 24.4% | 7.0× | 9 | -58.1% |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Commutative Algebra and Its Applications research growing?
Output in 2018–2022 was 2% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Commutative Algebra and Its Applications.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.