Algebraic Geometry and Number Theory
Algebraic Geometry and Number Theory is a research topic within Geometry and Topology. Science Explorer counts 29k research works in it since 1950. 15.1% of them reached the world's top 10% most cited for their field and year.
This cluster of papers covers a wide range of topics in algebraic geometry and moduli theory, including Gromov-Witten theory, log canonical singularities, motivic cohomology, minimal models, tropical geometry, intersection theory, symplectic geometry, birational geometry, and diophantine equations.
- Moduli Theory
- Gromov-Witten Theory
- Log Canonical Singularities
- Motivic Cohomology
- Minimal Models
- Tropical Geometry
- Intersection Theory
- Symplectic Geometry
- Birational Geometry
- Diophantine Equations
- Research works
- 29k fractional, since 1950
- In the world top 10%
- 4.4k per year above
- Top-10% rate
- 15.1% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- 0% the tick is no change
Which countries lead Algebraic Geometry and Number Theory research?
By volume, the United States and China publish the most (811 and 388 works in 2022–2025).
By volume, 2022–2025
- 1 United States 811 works
- 2 China 388 works
- 3 France 357 works
- 4 Japan 341 works
- 5 Germany 296 works
- 6 India 243 works
- 7 United Kingdom 211 works
- 8 Italy 208 works
- 9 Russia 144 works
- 10 Canada 125 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 Geometry and Number Theory research?
By volume in 2022–2025, Centre National de la Recherche Scientifique publishes the most Algebraic Geometry and Number Theory research, followed by Kyoto University and The University of Tokyo.
By volume, 2022–2025
- 1 Centre National de la Recherche ScientifiqueFrance 55 works
- 2 Kyoto UniversityJapan 39 works
- 3 The University of TokyoJapan 36 works
- 4 National Research University Higher School of EconomicsRussia 33 works
- 5 Tsinghua UniversityChina 29 works
- 6 University of MichiganUnited States 26 works
- 7 Sidi Mohamed Ben Abdellah UniversityMorocco 24 works
- 8 University of TrentoItaly 23 works
- 9 Steklov Mathematical InstituteRussia 23 works
- 10 Leibniz University HannoverGermany 21 works
Who are the leading researchers in Algebraic Geometry and Number Theory?
The most-cited researchers publishing on Algebraic Geometry and Number Theory include Steven J. Miller.
- 1 Steven J. Miller United States 3.8k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Algebraic Geometry and Number Theory research done?
The largest centres of Algebraic Geometry and Number Theory research in 2022–2025 are Paris (France), Tokyo (Japan), Beijing (China) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Trento, Fes and Saint-Martin-d'Hères.
Largest cities, 2022–2025
Where it is the local speciality
- TrentoIT · 23.3 works17×
- FesMA · 24.4 works16×
- Saint-Martin-d'HèresFR · 24.5 works15×
Location quotient: how much more of its research is in Algebraic Geometry and Number Theory than the world average.
Where is the best place to study Algebraic Geometry and Number Theory?
Among universities, judged by research, Sidi Mohamed Ben Abdellah University, University of Bonn and Princeton 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 | Sidi Mohamed Ben Abdellah UniversityMorocco | 72.9 | 28.4% | 21.6× | 24 | — |
| 2 | University of BonnGermany | 69.0 | 24.7% | 15.3× | 21 | +15.5% |
| 3 | Princeton UniversityUnited States | 68.7 | 28.3% | 11.1× | 20 | -18.5% |
| 4 | National Research University Higher School of EconomicsRussia | 66.9 | 11.5% | 19.6× | 33 | +186.3% |
| 5 | University of WarwickUnited Kingdom | 65.7 | 20.8% | 11.1× | 20 | +25.2% |
| 6 | Weizmann Institute of ScienceIsrael | 64.4 | 24.1% | 14.6× | 8 | +77.1% |
| 7 | Université Paris-SaclayFrance | 61.8 | 18.6% | 7.2× | 11 | +402.8% |
| 8 | Stony Brook UniversityUnited States | 59.9 | 17.6% | 12.3× | 15 | +83.8% |
| 9 | Roma Tre UniversityItaly | 58.4 | 25.4% | 14.8× | 10 | -21.3% |
| 10 | École Polytechnique Fédérale de LausanneSwitzerland | 58.0 | 24.4% | 7.3× | 12 | +6.7% |
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 Geometry and Number Theory research growing?
Output in 2018–2022 was 0% lower than in 2013–2017, peaking in 2023. The fastest-growing topics are Algebraic Geometry and Number Theory.
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.