Advanced Topics in Algebra
Advanced Topics in Algebra is a research topic within Algebra and Number Theory. Science Explorer counts 46k research works in it since 1950. 14.3% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the deformations, structures, and classifications of Hom-Lie algebras, including their connections to Hopf algebras, renormalization in quantum field theory, derivations, and cohomology. It also explores related topics such as Baxter algebras, quasi-Lie algebras, and gradings.
- Hom-Lie Algebras
- Deformations
- Hopf Algebra
- Renormalization
- Derivations
- Baxter Algebras
- Quasi-Lie Algebras
- Homology
- Gradings
- Cohomology
- Research works
- 46k fractional, since 1950
- In the world top 10%
- 6.6k per year above
- Top-10% rate
- 14.3% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -1% the tick is no change
Which countries lead Advanced Topics in Algebra research?
By volume, China and the United States publish the most (846 and 626 works in 2022–2025).
By volume, 2022–2025
- 1 China 846 works
- 2 United States 626 works
- 3 India 384 works
- 4 Russia 274 works
- 5 France 231 works
- 6 Germany 223 works
- 7 Japan 201 works
- 8 Iran 196 works
- 9 United Kingdom 182 works
- 10 Italy 164 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 Advanced Topics in Algebra research?
By volume in 2022–2025, Aligarh Muslim University publishes the most Advanced Topics in Algebra research, followed by Sidi Mohamed Ben Abdellah University and Centre National de la Recherche Scientifique.
By volume, 2022–2025
- 1 Aligarh Muslim UniversityIndia 44 works
- 2 Sidi Mohamed Ben Abdellah UniversityMorocco 35 works
- 3 Centre National de la Recherche ScientifiqueFrance 34 works
- 4 Lomonosov Moscow State UniversityRussia 32 works
- 5 University of SfaxTunisia 29 works
- 6 The University of TokyoJapan 24 works
- 7 Universidade de São PauloBrazil 24 works
- 8 National Research University Higher School of EconomicsRussia 22 works
- 9 Kyoto UniversityJapan 19 works
- 10 Jilin UniversityChina 18 works
Who are the leading researchers in Advanced Topics in Algebra?
The most-cited researchers publishing on Advanced Topics in Algebra include Edward Witten, Stephan Ramon Garcia and Ke Wu.
- 1 Edward Witten United States 7.2k citations
- 2 Stephan Ramon Garcia United States 4k citations
- 3 Ke Wu Canada 3.2k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Advanced Topics in Algebra research done?
The largest centres of Advanced Topics in Algebra research in 2022–2025 are Moscow (Russia), Shanghai (China), Beijing (China) and Paris (France). Among places with at least 20 works in it, it is an unusually large share of all research in Aligarh, Fes and Sfax.
Largest cities, 2022–2025
Where it is the local speciality
- AligarhIN · 44.2 works27×
- FesMA · 34.6 works18×
- SfaxTN · 28.6 works14×
Location quotient: how much more of its research is in Advanced Topics in Algebra than the world average.
Where is the best place to study Advanced Topics in Algebra?
Among universities, judged by research, Aligarh Muslim University, University of Sfax and Mälardalen University 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 | Aligarh Muslim UniversityIndia | 68.3 | 17.4% | 31.6× | 44 | +76.8% |
| 2 | University of SfaxTunisia | 59.3 | 9.0% | 21.8× | 29 | +78.4% |
| 3 | Mälardalen UniversitySweden | 56.8 | 28.1% | 29.9× | 8 | — |
| 4 | National Research University Higher School of EconomicsRussia | 56.5 | 12.2% | 10.1× | 22 | +96.8% |
| 5 | University of PalermoItaly | 55.7 | 38.5% | 6.7× | 12 | -10.5% |
| 6 | Sidi Mohamed Ben Abdellah UniversityMorocco | 55.5 | 4.6% | 24.3× | 35 | +92.1% |
| 7 | Jadavpur UniversityIndia | 54.6 | 18.3% | 10.3× | 14 | +82.2% |
| 8 | National University of UzbekistanUzbekistan | 53.0 | 19.0% | 13.2× | 10 | +83.0% |
| 9 | Universidade Federal do ABCBrazil | 50.7 | 9.8% | 11.2× | 9 | +242.8% |
| 10 | Lomonosov Moscow State UniversityRussia | 49.6 | 10.6% | 7.3× | 32 | -6.8% |
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 Advanced Topics in Algebra research growing?
Output in 2018–2022 was 1% lower than in 2013–2017, peaking in 2024. The fastest-growing topics are Advanced Topics in Algebra.
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.