Algebraic structures and combinatorial models
Algebraic structures and combinatorial models is a research topic within Geometry and Topology. Science Explorer counts 42k research works in it since 1950. 22.4% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores the interplay between cluster algebras and triangulated categories, with a focus on derived categories, quiver representations, and homological dimensions. It also delves into topics such as quantum groups, Calabi-Yau algebras, modular tensor categories, and their connections to conformal field theory and Kac-Moody algebras.
- Cluster Algebras
- Triangulated Categories
- Derived Categories
- Quiver Representations
- Homological Dimensions
- Quantum Groups
- Calabi-Yau Algebras
- Modular Tensor Categories
- Conformal Field Theory
- Kac-Moody Algebras
- Research works
- 42k fractional, since 1950
- In the world top 10%
- 9.5k per year above
- Top-10% rate
- 22.4% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +4% the tick is no change
Which countries lead Algebraic structures and combinatorial models research?
By volume, China and the United States publish the most (1k and 877 works in 2022–2025).
By volume, 2022–2025
- 1 China 1k works
- 2 United States 877 works
- 3 Japan 333 works
- 4 India 289 works
- 5 Germany 285 works
- 6 United Kingdom 282 works
- 7 France 279 works
- 8 Russia 263 works
- 9 Italy 196 works
- 10 Canada 130 works
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 Algebraic structures and combinatorial models research?
By volume in 2022–2025, The University of Tokyo publishes the most Algebraic structures and combinatorial models research, followed by Centre National de la Recherche Scientifique and University of Oxford.
By volume, 2022–2025
- 1 The University of Tokyo Japan 52 works
- 2 Centre National de la Recherche Scientifique France 45 works
- 3 University of Oxford United Kingdom 32 works
- 4 Tsinghua University China 32 works
- 5 Aligarh Muslim University India 29 works
- 6 National Research University Higher School of Economics Russia 29 works
- 7 Kyoto University Japan 28 works
- 8 Max Planck Institute for Mathematics Germany 25 works
- 9 Lomonosov Moscow State University Russia 25 works
- 10 Massachusetts Institute of Technology United States 24 works
Who are the leading researchers in Algebraic structures and combinatorial models?
The most-cited researchers publishing on Algebraic structures and combinatorial models include Edward Witten, Heng Fan and Ke Wu.
- 1 Edward Witten 7.2k citations
- 2 Heng Fan 5.5k citations
- 3 Ke Wu 3.2k citations
- 4 F. D. M. Haldane 2.9k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Algebraic structures and combinatorial models research done?
The largest centres of Algebraic structures and combinatorial models research in 2022–2025 are Beijing (China), Moscow (Russia), Tokyo (Japan) and Shanghai (China). Among places with at least 20 works in it, it is an unusually large share of all research in Aligarh.
Largest cities, 2022–2025
Where it is the local speciality
- AligarhIN · 29.3 works17×
Location quotient: how much more of its research is in Algebraic structures and combinatorial models than the world average.
Where is the best place to study Algebraic structures and combinatorial models?
Among universities, judged by research, The University of Tokyo, Moscow Institute of Physics and Technology and University of Oxford 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 | The University of Tokyo Japan | 64.8 | 35.6% | 7.8× | 52 | +31.0% |
| 2 | Moscow Institute of Physics and Technology Russia | 60.6 | 40.0% | 17.5× | 13 | +71.0% |
| 3 | University of Oxford United Kingdom | 56.8 | 40.6% | 4.6× | 32 | +25.8% |
| 4 | National Research University Higher School of Economics Russia | 56.5 | 14.1% | 12.8× | 29 | +114.3% |
| 5 | Scuola Internazionale Superiore di Studi Avanzati Italy | 56.1 | 31.7% | 47.7× | 11 | +29.8% |
| 6 | Aligarh Muslim University India | 54.5 | 16.4% | 19.7× | 29 | +50.4% |
| 7 | Uppsala University Sweden | 51.1 | 29.3% | 6.9× | 20 | +28.9% |
| 8 | Massachusetts Institute of Technology United States | 50.4 | 25.5% | 7.0× | 24 | +36.8% |
| 9 | Stony Brook University United States | 50.0 | 55.0% | 5.1× | 8 | +37.9% |
| 10 | University of Bonn Germany | 49.7 | 19.7% | 9.6× | 18 | +13.3% |
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 Algebraic structures and combinatorial models research growing?
Output in 2018–2022 was 4% higher than in 2013–2017, peaking in 2023. The fastest-growing topics are Algebraic structures and combinatorial models.
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.