Mathematical and Theoretical Analysis
Mathematical and Theoretical Analysis is a research topic within Mathematical Physics. Science Explorer counts 12k research works in it since 1950. 9.3% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis.
- Generalized Functions
- Infinite and Infinitesimal Numbers
- Non-Archimedean Mathematics
- Colombeau Algebras
- Numerical Computations
- Nonlinear Models
- Microlocal Analysis
- Topological Structures
- Algebraic Theory
- Nonstandard Analysis
- Research works
- 12k fractional, since 1950
- In the world top 10%
- 1.1k per year above
- Top-10% rate
- 9.3% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -3% the tick is no change
Which countries lead Mathematical and Theoretical Analysis research?
By volume, the United States and Germany publish the most (229 and 81 works in 2022–2025).
By volume, 2022–2025
- 1 United States 229 works
- 2 Germany 81 works
- 3 India 71 works
- 4 Italy 69 works
- 5 Russia 66 works
- 6 China 64 works
- 7 France 54 works
- 8 United Kingdom 50 works
- 9 Poland 36 works
- 10 Japan 35 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 Mathematical and Theoretical Analysis research?
By volume in 2022–2025, Lomonosov Moscow State University publishes the most Mathematical and Theoretical Analysis research, followed by Sapienza University of Rome and Tbilisi State University.
By volume, 2022–2025
- 1 Lomonosov Moscow State UniversityRussia 9 works
- 2 Sapienza University of RomeItaly 9 works
- 3 Tbilisi State UniversityGeorgia 8 works
- 4 Centre National de la Recherche ScientifiqueFrance 7 works
- 5 Université Sultan Moulay SlimaneMorocco 6 works
- 6 University of PisaItaly 6 works
- 7 Institute of MathematicsPoland 6 works
- 8 ETH ZurichSwitzerland 6 works
- 9 University of ViennaAustria 6 works
- 10 Technion – Israel Institute of TechnologyIsrael 6 works
Who are the leading researchers in Mathematical and Theoretical Analysis?
The most-cited researchers publishing on Mathematical and Theoretical Analysis include Terence Tao.
- 1 Terence Tao United States 3.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Mathematical and Theoretical Analysis research done?
The largest centres of Mathematical and Theoretical Analysis research in 2022–2025 are Moscow (Russia), Paris (France), New York (United States) and London (United Kingdom).
Where is the best place to study Mathematical and Theoretical Analysis?
Among universities, judged by research, Lomonosov Moscow State University, Sapienza University of Rome and Tbilisi State 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.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | Lomonosov Moscow State UniversityRussia | 92.0 | 11.6% | 8.9× | 9 | +75.1% |
| 2 | Sapienza University of RomeItaly | 39.1 | 10.5% | 6.5× | 9 | +25.5% |
| 3 | Tbilisi State UniversityGeorgia | 27.4 | 0.0% | 68.4× | 8 | +33.3% |
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 Mathematical and Theoretical Analysis research growing?
Output in 2018–2022 was 3% lower than in 2013–2017, peaking in 2025. The fastest-growing topics are Mathematical and Theoretical 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.