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Czech Academy of Sciences, Institute of Mathematics

In research, Czech Academy of Sciences, Institute of Mathematics stands highest in Physical Sciences (#4,381 of 12,888 worldwide), Mathematics (#575 of 1,053 worldwide) and Computer Science (#3,507 of 4,667 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Algebra and Number Theory and Geometry and Topology — Mathematical Physics is 79.8× its share of world research.

math.cas.czROR OpenAlex
World rank, 2022–2025
#7,657
of 28,054 · #6,817 all time
Rank in Czechia
#39
of 163
Research works
4.6k
▼ 6% vs 2013–17
Citations
48k
10.3 per fractional work
Top-10% rate
10.5%
record average 16.5%
Open access
34%
world 28%

What is Czech Academy of Sciences, Institute of Mathematics 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 #4,381 of 12,888 10.6%403 #4151
MathematicsField #575 of 1,053 12.3%204 #521
Computer ScienceField #3,507 of 4,667 5.7%73 #2239
EngineeringField #6,380 of 6,636 5.0%73 #5789

Each strip is that field’s whole ranked pool, with the notch where Czech Academy of Sciences, Institute of Mathematics 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#4,151 #4,381
  2. Mathematics#521 #575
  3. Computer Science#2,239 #3,507
  4. Engineering#5,789 #6,380
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 Czech Academy of Sciences, Institute of Mathematics specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 79.8× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 57.0 works80×
  2. Algebra and Number TheorySubfield · 22.6 works78×
  3. Geometry and TopologySubfield · 44.7 works61×
  4. Applied MathematicsSubfield · 52.9 works41×
  5. MathematicsField · 203.7 works38×
  6. Computational Theory and MathematicsSubfield · 40.2 works21×
← 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: 0.02× its world share, 0 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.17× its world share, 4 worksBiochemistry, Geneti…Immunology and Microbiology: 0.06× its world share, 0 worksImmunology and Micro…Neuroscience: 0.13× its world share, 1 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.06× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.78× its world share, 1 worksChemical EngineeringChemistry: 0.18× its world share, 1 worksChemistryComputer Science: 2.09× its world share, 73 worksComputer ScienceEarth and Planetary Sciences: 0.53× its world share, 4 worksEarth and Planetary …Energy: 0.05× its world share, 0 worksEnergyEngineering: 1.08× its world share, 73 worksEngineeringEnvironmental Science: 0.27× its world share, 6 worksEnvironmental ScienceMaterials Science: 0.27× its world share, 4 worksMaterials ScienceMathematics: 38.39× its world share, 204 worksMathematicsPhysics and Astronomy: 3.57× its world share, 36 worksPhysics and AstronomyDentistry: 0.01× its world share, 0 worksDentistryHealth Professions: 0.09× its world share, 1 worksHealth ProfessionsMedicine: 0.11× its world share, 10 worksMedicineNursing: 0.02× its world share, 0 worksNursingVeterinary: 0.41× its world share, 0 worksVeterinaryArts and Humanities: 0.05× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.34× its world share, 5 worksBusiness, Management…Decision Sciences: 1.53× its world share, 7 worksDecision SciencesEconomics, Econometrics and Finance: 0.82× its world share, 8 worksEconomics, Econometr…Psychology: 0.17× its world share, 2 worksPsychologySocial Sciences: 0.15× its world share, 9 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 38.4×. Every wedge is a field page.

Who are the top researchers at Czech Academy of Sciences, Institute of Mathematics?

Ranked on the composite score, Vlastimil Pták, Jaroslav Kurzweil and A. A. Dorogovtsev lead among researchers whose main affiliation is Czech Academy of Sciences, Institute of Mathematics.

  1. 1 Vlastimil Pták Czechia · #44,687 worldwide 369 citations · 42 works
  2. 2 Jaroslav Kurzweil Czechia · #73,498 worldwide 209 citations · 51 works
  3. 3 A. A. Dorogovtsev Czechia · #96,968 worldwide 183 citations · 30 works
  4. 4 Pavel Pudlák Czechia · #171,409 worldwide 274 citations · 69 works
  5. 5 Bohumı́r Opic Czechia · #395,150 worldwide 81 citations · 20 works
  6. 6 Pavel Krejčı́ Czechia · #439,285 worldwide 160 citations · 60 works
  7. 7 Ivan Hlaváček Czechia · #552,779 worldwide 133 citations · 69 works
  8. 8 Eduard Feireisl Czechia · #586,582 worldwide 367 citations · 138 works
  9. 9 Martin Markl Czechia · #591,032 worldwide 113 citations · 37 works
  10. 10 А. М. Самойленко Czechia · #608,139 worldwide 15 citations · 24 works
All ranked researchers at Czech Academy of Sciences, Institute of Mathematics

Which keywords describe research at Czech Academy of Sciences, Institute of Mathematics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Boundary Value Problems, Global Existence, Quantum Groups, K-Theory, Symplectic Geometry, Cohomology, Compressible Flows and Navier-Stokes Equations.

▲ 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. Boundary Value Problems25▲ 108×3 topics
  2. Global Existence23▲ 163×2 topics
  3. Quantum Groups22▲ 138×2 topics
  4. K-Theory20▲ 181×2 topics
  5. Symplectic Geometry18▲ 113×2 topics
  6. Cohomology18▲ 91×2 topics
  7. Compressible Flows17▲ 349×1 topic
  8. Navier-Stokes Equations17▲ 349×1 topic
  9. Cluster Algebras16▲ 127×1 topic
  10. Triangulated Categories16▲ 127×1 topic
  11. Deformations15▲ 129×1 topic
  12. Hom-Lie Algebras15▲ 129×1 topic
  13. Adaptive Mesh Refinement14▲ 50×2 topics
  14. High-Order Schemes14▲ 50×2 topics
  15. Deformation Quantization14▲ 185×1 topic
  16. Poisson Manifolds14▲ 185×1 topic
  17. Holomorphic Functions13▲ 122×2 topics
  18. Nonlinear Equations13▲ 22×6 topics
  19. Model Theory12▲ 291×1 topic
  20. Topological Dynamics12▲ 291×1 topic
  21. Heat Transfer12▲ 5.3×10 topics
  22. Porous Media12▲ 20×5 topics
  23. Banach Spaces11▲ 86×3 topics
  24. Fluid-Structure Interaction11▲ 16×5 topics
  25. Radial Basis Functions11▲ 34×2 topics
  26. Finite Element11▲ 54×2 topics
  27. Nonlinear Schrödinger Equation11▲ 42×2 topics
  28. Functional Analysis10▲ 69×2 topics
  29. Large-Eddy Simulation10▲ 11×4 topics
  30. Numerical Methods10▲ 26×4 topics
  31. Heterogeneous9▲ 54×1 topic
  32. Multiscale Methods9▲ 54×1 topic
  33. Viscoelasticity9▲ 32×4 topics
  34. Controllability9▲ 46×2 topics
  35. Operators9▲ 219×1 topic
  36. Stability9▲ 8.5×3 topics
  37. Topological Vector Spaces9▲ 219×1 topic
  38. General Relativity9▲ 28×2 topics
  39. Vortex Dynamics9▲ 17×2 topics
  40. String Theory9▲ 34×2 topics

Which research topics does Czech Academy of Sciences, Institute of Mathematics publish most on?

By volume in 2022–2025: Navier-Stokes equation solutions, Algebraic structures and combinatorial models, Advanced Topics in Algebra and Homotopy and Cohomology in Algebraic Topology.

Navier-Stokes equation s…17Navier-Stokes equation solutions: 17 fractional worksAlgebraic structures and…16Algebraic structures and combinatorial models: 16 fractional worksAdvanced Topics in Algebra15Advanced Topics in Algebra: 15 fractional worksHomotopy and Cohomology …14Homotopy and Cohomology in Algebraic Topology: 14 fractional worksAdvanced Topology and Set Theory: 12 fractional worksAdvanced Mathematical Modeling in Engineering: 9 fractional worksAdvanced Banach Space Th…9Advanced Banach Space Theory: 9 fractional worksFluid Dynamics and Turbu…8Fluid Dynamics and Turbulent Flows: 8 fractional worksComputational Fluid Dyna…8Computational Fluid Dynamics and Aerodynamics: 8 fractional worksAdvanced Mathematical Ph…8Advanced Mathematical Physics Problems: 8 fractional works
Applied MathematicsGeometry and TopologyAlgebra and Number TheoryMathematical Physics2 others

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

  1. 1 Navier-Stokes equation solutions Applied Mathematics 17 works
  2. 2 Algebraic structures and combinatorial models Geometry and Topology 16 works
  3. 3 Advanced Topics in Algebra Algebra and Number Theory 15 works
  4. 4 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 14 works
  5. 5 Advanced Topology and Set Theory Geometry and Topology 12 works
  6. 6 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 9 works
  7. 7 Advanced Banach Space Theory Mathematical Physics 9 works
  8. 8 Fluid Dynamics and Turbulent Flows Computational Mechanics 8 works
  9. 9 Computational Fluid Dynamics and Aerodynamics Computational Mechanics 8 works
  10. 10 Advanced Mathematical Physics Problems Mathematical Physics 8 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 available34.0%not open66.0%

World: 28% of research is openly available.

with international co-authors56.0%domestic only44.0%

World: 19% is written across borders.

How has Czech Academy of Sciences, Institute of Mathematics's research output changed?

Output in 2018–2022 was 6% 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 Prague

All research institutions in Prague

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.