Topological and Geometric Data Analysis
Topological and Geometric Data Analysis is a research topic within Computational Theory and Mathematics. Science Explorer counts 12k research works in it since 1950. 16.7% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the application of topological data analysis in various scientific and engineering domains. It covers topics such as persistent homology, shape analysis, statistical topology, machine learning, and spatial data.
- Persistent Homology
- Topological Methods
- Data Analysis
- Complex Networks
- Shape Analysis
- Statistical Topology
- Morse Theory
- Point Cloud Data
- Machine Learning
- Spatial Data
- Research works
- 12k fractional, since 1950
- In the world top 10%
- 2k per year above
- Top-10% rate
- 16.7% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +27% the tick is no change
Which countries lead Topological and Geometric Data Analysis research?
By volume, the United States and China publish the most (575 and 302 works in 2022–2025).
By volume, 2022–2025
- 1 United States 575 works
- 2 China 302 works
- 3 France 158 works
- 4 Germany 135 works
- 5 India 132 works
- 6 United Kingdom 125 works
- 7 Japan 114 works
- 8 Italy 80 works
- 9 Russia 77 works
- 10 Brazil 62 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 Topological and Geometric Data Analysis research?
By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Topological and Geometric Data Analysis research, followed by University of Oxford and Faculdades Guarulhos.
By volume, 2022–2025
- 1 Centre National de la Recherche ScientifiqueFrance 23 works
- 2 University of OxfordUnited Kingdom 20 works
- 3 Faculdades GuarulhosBrazil 18 works
- 4 Michigan State UniversityUnited States 17 works
- 5 Guarulhos UniversityBrazil 16 works
- 6 National Research University Higher School of EconomicsRussia 12 works
- 7 Purdue University West LafayetteUnited States 12 works
- 8 Sapienza University of RomeItaly 10 works
- 9 University of Wisconsin–MadisonUnited States 10 works
- 10 The Ohio State UniversityUnited States 10 works
Who are the leading researchers in Topological and Geometric Data Analysis?
The most-cited researchers publishing on Topological and Geometric Data Analysis include Sayan Mukherjee.
- 1 Sayan Mukherjee United States 5.7k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Topological and Geometric Data Analysis research done?
The largest centres of Topological and Geometric Data Analysis research in 2022–2025 are Paris (France), Beijing (China), Moscow (Russia) and Tokyo (Japan). Among places with at least 20 works in it, it is an unusually large share of all research in Guarulhos.
Largest cities, 2022–2025
Where it is the local speciality
- GuarulhosBR · 33.7 works141×
Location quotient: how much more of its research is in Topological and Geometric Data Analysis than the world average.
Where is the best place to study Topological and Geometric Data Analysis?
Among universities, judged by research, Michigan State University, University of Oxford and National Research University Higher School of Economics 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 | Michigan State UniversityUnited States | 85.8 | 32.5% | 10.5× | 18 | +190.3% |
| 2 | University of OxfordUnited Kingdom | 59.6 | 10.4% | 6.9× | 20 | +125.2% |
| 3 | National Research University Higher School of EconomicsRussia | 56.5 | 9.8% | 12.2× | 12 | +427.8% |
| 4 | University of Wisconsin–MadisonUnited States | 46.4 | 22.2% | 4.7× | 10 | +168.7% |
| 5 | ETH ZurichSwitzerland | 44.2 | 25.6% | 5.4× | 8 | -24.2% |
| 6 | Guarulhos UniversityBrazil | 43.6 | 0.0% | 296.0× | 16 | — |
| 7 | Kyoto UniversityJapan | 37.6 | 12.5% | 4.9× | 8 | +243.5% |
| 8 | University of UtahUnited States | 35.3 | 22.1% | 5.7× | 8 | +0.2% |
| 9 | Stanford UniversityUnited States | 34.0 | 29.4% | 3.0× | 8 | -37.8% |
| 10 | Sapienza University of RomeItaly | 30.0 | 14.8% | 4.0× | 10 | +19.3% |
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 Topological and Geometric Data Analysis research growing?
Output in 2018–2022 was 27% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Topological and Geometric Data 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.