Algebraic and Geometric Analysis
Algebraic and Geometric Analysis is a research topic within Applied Mathematics. Science Explorer counts 21k research works in it since 1950. 11.5% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores advances in quaternionic analysis, geometric algebra, slice regular functions, dark matter, spinor fields, functional calculus, Clifford analysis, octonions, Dirac operators, and hypercomplex numbers.
- Quaternionic Analysis
- Geometric Algebra
- Slice Regular Functions
- Dark Matter
- Spinor Fields
- Functional Calculus
- Clifford Analysis
- Octonions
- Dirac Operators
- Hypercomplex Numbers
- Research works
- 21k fractional, since 1950
- In the world top 10%
- 2.4k per year above
- Top-10% rate
- 11.5% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +7% the tick is no change
Which countries lead Algebraic and Geometric Analysis research?
By volume, China and the United States publish the most (379 and 270 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 Algebraic and Geometric Analysis research?
By volume in 2022–2025, Lomonosov Moscow State University publishes the most Algebraic and Geometric Analysis research, followed by Politecnico di Milano and Institute of Mathematics.
By volume, 2022–2025
- 1 Lomonosov Moscow State UniversityRussia 23 works
- 2 Politecnico di MilanoItaly 14 works
- 3 Institute of MathematicsUkraine 14 works
- 4 Shanghai UniversityChina 12 works
- 5 Instituto Politécnico NacionalMexico 12 works
- 6 Chapman UniversityUnited States 12 works
- 7 Russian Academy of SciencesRussia 12 works
- 8 University of Hassan II CasablancaMorocco 11 works
- 9 University of NisSerbia 11 works
- 10 University of DelhiIndia 11 works
Who are the leading researchers in Algebraic and Geometric Analysis?
The most-cited researchers publishing on Algebraic and Geometric Analysis include Stephan Ramon Garcia, J. Królikowski and A. Lasenby.
- 1 Stephan Ramon Garcia United States 4k citations
- 2 J. Królikowski Poland 3.4k citations
- 3 A. Lasenby United Kingdom 3.3k citations
- 4 A. Challinor United Kingdom 3.2k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Algebraic and Geometric Analysis research done?
The largest centres of Algebraic and Geometric Analysis research in 2022–2025 are Moscow (Russia), Shanghai (China), Kyiv (Ukraine) and Beijing (China).
Where is the best place to study Algebraic and Geometric Analysis?
Among universities, judged by research, Politecnico di Milano, Lomonosov Moscow State University and Shanghai 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 | Politecnico di MilanoItaly | 63.9 | 49.6% | 7.7× | 14 | +61.5% |
| 2 | Lomonosov Moscow State UniversityRussia | 61.7 | 9.3% | 10.3× | 23 | +38.3% |
| 3 | Shanghai UniversityChina | 57.2 | 60.4% | 6.7× | 12 | +3.8% |
| 4 | National Research University Higher School of EconomicsRussia | 54.8 | 24.7% | 9.2× | 10 | +449.5% |
| 5 | University of NisSerbia | 53.2 | 17.0% | 26.2× | 11 | +127.9% |
| 6 | Chapman UniversityUnited States | 48.3 | 22.6% | 66.9× | 12 | -18.2% |
| 7 | University of Hassan II CasablancaMorocco | 47.5 | 18.3% | 16.7× | 11 | — |
| 8 | Instituto Politécnico NacionalMexico | 45.4 | 12.8% | 13.4× | 12 | +14.8% |
| 9 | Universidad Autónoma de GuerreroMexico | 42.0 | 18.4% | 55.6× | 8 | — |
| 10 | Indian Institute of Science BangaloreIndia | 40.8 | 28.8% | 9.1× | 9 | -52.5% |
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 and Geometric Analysis research growing?
Output in 2018–2022 was 7% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Algebraic and Geometric Analysis.
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.