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Advanced Mathematical Theories

Advanced Mathematical Theories is a research topic within Mathematical Physics. Science Explorer counts 5.6k research works in it since 1950. 4.6% 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 mathematics and mathematical physics, including advancements in the Smarandache function, neutrosophy, number theory, income distribution analysis, combinatorial manifolds, Newton mechanics, nonlinear equations, cosmology, and the intersection of mathematics with information technology.

  • Smarandache Function
  • Neutrosophy
  • Number Theory
  • Mathematical Physics
  • Income Distribution
  • Combinatorial Manifolds
  • Newton Mechanics
  • Nonlinear Equations
  • Cosmology
  • Information Technology
Research works
5.6k
fractional, since 1950
In the world top 10%
262
per year above
Top-10% rate
4.6%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+24%
the tick is no change

Which countries lead Advanced Mathematical Theories research?

By volume, the United States and India publish the most (108 and 82 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 108 works
  2. 2 India 82 works
  3. 3 Türkiye 66 works
  4. 4 Indonesia 45 works
  5. 5 China 43 works
  6. 6 Brazil 38 works
  7. 7 Japan 23 works
  8. 8 United Kingdom 20 works
  9. 9 Germany 15 works
  10. 10 Russia 14 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.

United States: 23.8%India: 18.0%Türkiye: 14.6%Indonesia: 9.9%6 others listed: 33.7%24%largest
United States108 · 23.8%India82 · 18.0%Türkiye66 · 14.6%Indonesia45 · 9.9%6 others listed153 · 33.7%

Shares of the rows listed above, not of the whole node.

Which institutions lead Advanced Mathematical Theories research?

By volume in 2022–2025, Indian Institute of Technology Kharagpur publishes the most Advanced Mathematical Theories research, followed by Zonguldak Bülent Ecevit University and Erzincan Binali Yıldırım University.

Where is Advanced Mathematical Theories research done?

The largest centres of Advanced Mathematical Theories research in 2022–2025 are Kharagpur (India), Moscow (Russia), Bandung (Indonesia) and Zonguldak (Türkiye).

Largest cities, 2022–2025

  1. 1 Kharagpur India 18 works
  2. 2 Moscow Russia 10 works
  3. 3 Bandung Indonesia 6 works
  4. 4 Zonguldak Türkiye 6 works
  5. 5 Tokyo Japan 6 works
  6. 6 Beijing China 6 works
  7. 7 Istanbul Türkiye 6 works
  8. 8 Ankara Türkiye 5 works
  9. 9 Erzincan Türkiye 5 works
  10. 10 Nanjing China 5 works
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Where is the best place to study Advanced Mathematical Theories?

Among universities, judged by research, Indian Institute of Technology Kharagpur 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.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Indian Institute of Technology KharagpurIndia 6.06.6%55.2×18

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 Mathematical Theories research growing?

Output in 2018–2022 was 24% higher than in 2013–2017, peaking in 2025.

19801990200020102020
grewheldshrank

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.