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Research facility · Bratislava · Slovakia

Mathematical Institute of the Slovak Academy of Sciences

In research, Mathematical Institute of the Slovak Academy of Sciences stands highest in Physical Sciences (#3,439 of 12,888 worldwide), Mathematics (#386 of 1,053 worldwide) and Computer Science (#4,366 of 4,667 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Geometry and Topology and Mathematics — Mathematical Physics is 43.7× its share of world research.

mat.savba.skROR OpenAlex
World rank, 2022–2025
#5,465
of 28,054 · #2,369 all time
Rank in Slovakia
#8
of 73
Research works
4.5k
▼ 5% vs 2013–17
Citations
113k
25.3 per fractional work
Top-10% rate
16.6%
record average 16.5%
Open access
39%
world 28%

What is Mathematical Institute of the Slovak Academy of Sciences known for in research?

The fields where it stands highest, 2022–2025, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
Physical SciencesDomain #3,439 of 12,888 15.6%250 #1593
MathematicsField #386 of 1,053 15.1%106 #142
Computer ScienceField #4,366 of 4,667 10.2%61 #2093

Each strip is that field’s whole ranked pool, with the notch where Mathematical Institute of the Slovak Academy of Sciences sits in it, in the colour of the band that rank falls in. The track under the rate is the rate itself: it carries no world mark, because the world rate differs by field (from about 6% to 21% in this record).

Which of those standings moved

The same fields on both windows: where it stood over the whole record, and where it stands in 2022–2025. The distance is the story, and it is the one thing the two rank columns above cannot show.

  1. Physical Sciences#1,593 #3,439
  2. Mathematics#142 #386
  3. Computer Science#2,093 #4,366
all time2022–2025, better2022–2025, worse

A dot further right is a better standing. Fields it was not ranked in over the whole record are left out.

What does Mathematical Institute of the Slovak Academy of Sciences specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 43.7× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 24.2 works44×
  2. Geometry and TopologySubfield · 21.2 works37×
  3. MathematicsField · 106.0 works26×
  4. Computational Theory and MathematicsSubfield · 32.8 works22×
  5. Applied MathematicsSubfield · 21.6 works22×
← less than its size predicts1×more →

Location quotient, a volume reading rather than an impact one. It surfaces small, lopsided specialities.

Field profile

Location quotient across every field it publishes in: outside the ring is more than an institution of this size would be expected to publish, inside it is less.

Agricultural and Biological Sciences: 0.22× its world share, 4 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.84× its world share, 16 worksBiochemistry, Geneti…Immunology and Microbiology: 0.37× its world share, 1 worksImmunology and Micro…Neuroscience: 0.59× its world share, 3 worksNeuroscienceChemical Engineering: 0.80× its world share, 1 worksChemical EngineeringChemistry: 0.20× its world share, 1 worksChemistryComputer Science: 2.24× its world share, 61 worksComputer ScienceEarth and Planetary Sciences: 1.05× its world share, 6 worksEarth and Planetary …Energy: 0.40× its world share, 1 worksEnergyEngineering: 0.61× its world share, 32 worksEngineeringEnvironmental Science: 0.29× its world share, 5 worksEnvironmental ScienceMaterials Science: 0.17× its world share, 2 worksMaterials ScienceMathematics: 25.77× its world share, 106 worksMathematicsPhysics and Astronomy: 4.47× its world share, 35 worksPhysics and AstronomyHealth Professions: 0.12× its world share, 1 worksHealth ProfessionsMedicine: 0.23× its world share, 15 worksMedicineNursing: 0.05× its world share, 0 worksNursingArts and Humanities: 0.14× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.42× its world share, 5 worksBusiness, Management…Decision Sciences: 4.32× its world share, 15 worksDecision SciencesEconomics, Econometrics and Finance: 2.74× its world share, 20 worksEconomics, Econometr…Psychology: 0.19× its world share, 2 worksPsychologySocial Sciences: 0.36× its world share, 16 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 25.8×. Every wedge is a field page.

Who are the top researchers at Mathematical Institute of the Slovak Academy of Sciences?

Ranked on the composite score, C. A. Coulson, J. D. Murray and A. Erdélyi lead among researchers whose main affiliation is Mathematical Institute of the Slovak Academy of Sciences.

  1. 1 C. A. Coulson Slovakia · #10,412 worldwide 818 citations · 78 works
  2. 2 J. D. Murray Slovakia · #126,218 worldwide 212 citations · 31 works
  3. 3 A. Erdélyi Slovakia · #146,327 worldwide 137 citations · 24 works
  4. 4 Shizuo Kakutani Slovakia · #173,746 worldwide 197 citations · 21 works
  5. 5 YOZÔ MATSUSHIMA Slovakia · #290,495 worldwide 116 citations · 22 works
  6. 6 Akitsugu Kawaguchi Slovakia · #371,635 worldwide 54 citations · 24 works
  7. 7 František Neuman Slovakia · #665,789 worldwide 33 citations · 41 works
  8. 8 Zenjiro Kuramochi Slovakia · #751,726 worldwide 28 citations · 25 works
  9. 9 Andrea Mesiarová‐Zemánková Slovakia · #758,598 worldwide 97 citations · 23 works
  10. 10 Masatsugu Tsuji Slovakia · #781,823 worldwide 21 citations · 27 works
All ranked researchers at Mathematical Institute of the Slovak Academy of Sciences

Which keywords describe research at Mathematical Institute of the Slovak Academy of Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Nonlinear Equations, Quantum Gravity, String Theory, Boundary Value Problems, Fuzzy Logic, Symplectic Geometry, K-Theory and Quantum Groups.

▲ more of its work than of the world’s◆ about the world’s share▼ less than the world’s

Size is fractional works in 2022–2025 in the topics tagged with each word; colour is the word's share of this institution's work against its share of the world's. The 40 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Nonlinear Equations10▲ 22×5 topics
  2. Quantum Gravity9▲ 33×3 topics
  3. Digital Transformation9▲ 4.8×9 topics
  4. String Theory9▲ 44×2 topics
  5. Economic Development9▲ 3.0×11 topics
  6. Boundary Value Problems8▲ 46×3 topics
  7. Fuzzy Logic8▲ 8.9×2 topics
  8. Symplectic Geometry8▲ 61×2 topics
  9. K-Theory8▲ 87×2 topics
  10. Quantum Groups7▲ 59×2 topics
  11. Mathematical Modeling7▲ 22×3 topics
  12. Residuated Lattices7▲ 124×1 topic
  13. t-norms7▲ 124×1 topic
  14. Black Holes7▲ 21×2 topics
  15. Modular Forms7▲ 51×3 topics
  16. Quantum Entanglement7▲ 29×2 topics
  17. Field Theories6▲ 41×1 topic
  18. Holographic6▲ 41×1 topic
  19. Rough Sets6▲ 60×2 topics
  20. Fuzzy Sets6▲ 30×2 topics
  21. Dynamical Systems6▲ 25×4 topics
  22. L-Functions6▲ 59×2 topics
  23. Nonlinear Systems6▲ 7.8×6 topics
  24. Nonlinear Schrödinger Equation6▲ 29×2 topics
  25. Numerical Methods6▲ 20×4 topics
  26. Controllability6▲ 37×2 topics
  27. Random Matrix Theory6▲ 51×3 topics
  28. Approximation Algorithms5▲ 22×5 topics
  29. Deformation Quantization5▲ 91×1 topic
  30. Ergodic Theory5▲ 52×2 topics
  31. Poisson Manifolds5▲ 91×1 topic
  32. Global Economy5▲ 11×4 topics
  33. Cluster Algebras5▲ 53×1 topic
  34. Triangulated Categories5▲ 53×1 topic
  35. Monte Carlo Simulation5▲ 7.0×3 topics
  36. Number Theory5▲ 60×2 topics
  37. Cohomology5▲ 31×2 topics
  38. Complex Networks5▲ 23×3 topics
  39. Fractional Calculus5▲ 23×2 topics
  40. Cancer Growth4▲ 89×1 topic

Which research topics does Mathematical Institute of the Slovak Academy of Sciences publish most on?

By volume in 2022–2025: Advanced Algebra and Logic, Black Holes and Theoretical Physics, Homotopy and Cohomology in Algebraic Topology and Algebraic structures and combinatorial models.

Advanced Algebra and Logic7Advanced Algebra and Logic: 7 fractional worksBlack Holes and Theoreti…6Black Holes and Theoretical Physics: 6 fractional worksHomotopy and Cohomology in Algebraic Topology: 5 fractional worksAlgebraic structures and combinatorial models: 5 fractional worksMathematical Biology Tumor Growth: 4 fractional worksNonlinear Differential Equations Analysis: 4 fractional worksAnalytic Number Theory Research: 4 fractional worksLimits and Structures in…4Limits and Structures in Graph Theory: 4 fractional worksStochastic processes and financial applications: 4 fractional worksEconomic and Technological Developments in Russia: 4 fractional works
Computational Theory and MathematicsNuclear and High Energy PhysicsMathematical PhysicsGeometry and Topology6 others

Area is fractional works; colour is the subfield each topic belongs to.

  1. 1 Advanced Algebra and Logic Computational Theory and Mathematics 7 works
  2. 2 Black Holes and Theoretical Physics Nuclear and High Energy Physics 6 works
  3. 3 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 5 works
  4. 4 Algebraic structures and combinatorial models Geometry and Topology 5 works
  5. 5 Mathematical Biology Tumor Growth Modeling and Simulation 4 works
  6. 6 Nonlinear Differential Equations Analysis Applied Mathematics 4 works
  7. 7 Analytic Number Theory Research Algebra and Number Theory 4 works
  8. 8 Limits and Structures in Graph Theory Discrete Mathematics and Combinatorics 4 works
  9. 9 Stochastic processes and financial applications Finance 4 works
  10. 10 Economic and Technological Developments in Russia Development 4 works

How open and international is its research?

Against the world’s own shares — the tick on each track. Both are shares of its output, so they sit on one scale and can be read against each other as well as against the world.

openly available39.4%not open60.6%

World: 28% of research is openly available.

with international co-authors57.6%domestic only42.4%

World: 19% is written across borders.

How has Mathematical Institute of the Slovak Academy of Sciences's research output changed?

Output in 2018–2022 was 5% lower than in 2013–2017.

1990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Other research institutions in Bratislava

All research institutions in Bratislava

Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners are in the interactive view on the map.