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Research facility · Barcelona · Spain

Centre de Recerca Matemàtica

In research, Centre de Recerca Matemàtica stands highest in Physical Sciences (#5,707 of 12,888 worldwide) and Mathematics (#699 of 1,053 worldwide), 2022–2025. Relative to its size it is most specialised in Geometry and Topology, Mathematical Physics and Mathematics — Geometry and Topology is 64.2× its share of world research.

crm.cat/en/Pages/default.aspxROR OpenAlex
World rank, 2022–2025
#9,913
of 28,054 · #10,144 all time
Rank in Spain
#261
of 658
Research works
1k
▼ 10% vs 2013–17
Citations
16k
15.9 per fractional work
Top-10% rate
17.5%
record average 16.5%
Open access
54%
world 28%

What is Centre de Recerca Matemàtica 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 #5,707 of 12,888 15.7%172 #6309
MathematicsField #699 of 1,053 14.7%83 #1346

Each strip is that field’s whole ranked pool, with the notch where Centre de Recerca Matemàtica 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).

What does Centre de Recerca Matemàtica specialise in?

Where its research is concentrated relative to its size: Geometry and Topology takes 64.2× the share of its output that it takes of world research.

  1. Geometry and TopologySubfield · 22.7 works64×
  2. Mathematical PhysicsSubfield · 21.3 works62×
  3. MathematicsField · 82.9 works32×
← 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: 0.18× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.75× its world share, 9 worksBiochemistry, Geneti…Immunology and Microbiology: 0.10× its world share, 0 worksImmunology and Micro…Neuroscience: 2.64× its world share, 9 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.39× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.21× its world share, 0 worksChemical EngineeringChemistry: 0.77× its world share, 3 worksChemistryComputer Science: 1.59× its world share, 27 worksComputer ScienceEarth and Planetary Sciences: 1.07× its world share, 4 worksEarth and Planetary …Energy: 0.11× its world share, 0 worksEnergyEngineering: 0.63× its world share, 21 worksEngineeringEnvironmental Science: 0.79× its world share, 9 worksEnvironmental ScienceMaterials Science: 0.47× its world share, 4 worksMaterials ScienceMathematics: 32.42× its world share, 83 worksMathematicsPhysics and Astronomy: 4.76× its world share, 23 worksPhysics and AstronomyHealth Professions: 0.03× its world share, 0 worksHealth ProfessionsMedicine: 0.23× its world share, 10 worksMedicineNursing: 0.12× its world share, 0 worksNursingVeterinary: 1.32× its world share, 0 worksVeterinaryArts and Humanities: 0.23× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.10× its world share, 1 worksBusiness, Management…Decision Sciences: 0.72× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 0.30× its world share, 1 worksEconomics, Econometr…Psychology: 0.49× its world share, 3 worksPsychologySocial Sciences: 0.22× its world share, 6 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 32.4×. Every wedge is a field page.

Who are the top researchers at Centre de Recerca Matemàtica?

Ranked on the composite score, Sergey Tikhonov, √Ålvaro Corral and Tomás Alarcón lead among researchers whose main affiliation is Centre de Recerca Matemàtica.

  1. 1 Sergey Tikhonov Spain · #450,806 worldwide 139 citations · 47 works
  2. 2 √Ålvaro Corral Spain · #596,737 worldwide 83 citations · 21 works
  3. 3 Tomás Alarcón Spain · #603,038 worldwide 93 citations · 44 works
  4. 4 T.G. Myers Spain · #1,121,719 worldwide 78 citations · 39 works
  5. 5 Josep Sardanyés Spain · #1,544,998 worldwide 25 citations · 22 works
All ranked researchers at Centre de Recerca Matemàtica

Which keywords describe research at Centre de Recerca Matemàtica?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Dynamical Systems, Bifurcations, Lagrangian Coherent Structures, Quantum Chaos, Piecewise Linear, Planar Systems, Chaos and Ergodic Theory.

▲ 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. Dynamical Systems14▲ 98×3 topics
  2. Bifurcations9▲ 178×2 topics
  3. Lagrangian Coherent Structures8▲ 163×1 topic
  4. Quantum Chaos8▲ 163×1 topic
  5. Piecewise Linear8▲ 284×1 topic
  6. Planar Systems8▲ 284×1 topic
  7. Chaos7▲ 44×2 topics
  8. Ergodic Theory6▲ 99×2 topics
  9. Fractals6▲ 155×1 topic
  10. Lyapunov Exponents6▲ 155×1 topic
  11. Nonlinear Equations6▲ 21×6 topics
  12. Synchronization6▲ 22×3 topics
  13. Symplectic Geometry6▲ 71×2 topics
  14. Porous Media5▲ 19×3 topics
  15. K-Theory4▲ 81×2 topics
  16. Cohomology4▲ 45×2 topics
  17. Tropical Geometry4▲ 58×2 topics
  18. Modular Forms4▲ 46×3 topics
  19. Heterogeneous4▲ 44×1 topic
  20. Multiscale Methods4▲ 44×1 topic
  21. Holomorphic Functions3▲ 65×2 topics
  22. Knot Invariants3▲ 104×1 topic
  23. Quantum Groups3▲ 44×2 topics
  24. Symplectic Topology3▲ 104×1 topic
  25. Approximation Algorithms3▲ 21×4 topics
  26. Cortical Networks3▲ 25×1 topic
  27. Fractional Laplacian3▲ 68×1 topic
  28. Neuronal Oscillations3▲ 19×1 topic
  29. Sobolev Spaces3▲ 68×1 topic
  30. Boundary Value Problems3▲ 27×3 topics
  31. Deformation Quantization3▲ 82×1 topic
  32. Inverse Problems3▲ 13×3 topics
  33. Numerical Methods3▲ 16×3 topics
  34. Poisson Manifolds3▲ 82×1 topic
  35. Gromov-Witten Theory3▲ 61×1 topic
  36. L-Functions3▲ 44×2 topics
  37. Moduli Theory3▲ 61×1 topic
  38. Nonlinear Schrödinger Equation3▲ 22×2 topics
  39. Calderón–Zygmund Theory3▲ 127×1 topic
  40. Fourier Multiplier Theorems3▲ 127×1 topic

Which research topics does Centre de Recerca Matemàtica publish most on?

By volume in 2022–2025: Quantum chaos and dynamical systems, Advanced Differential Equations and Dynamical Systems, Mathematical Dynamics and Fractals and Advanced Mathematical Modeling in Engineering.

Quantum chaos and dynamical systems: 8 fractional worksAdvanced Differential Equations and Dynamical Systems: 8 fractional worksMathematical Dynamics and Fractals: 6 fractional worksAdvanced Mathematical Modeling in Engineering: 4 fractional worksGeometric and Algebraic Topology: 3 fractional worksNeural dynamics and brain function: 3 fractional worksNonlinear Partial Differential Equations: 3 fractional worksHomotopy and Cohomology in Algebraic Topology: 3 fractional worksAlgebraic Geometry and Number Theory: 3 fractional worksAdvanced Topics in Algebra: 3 fractional works
Statistical and Nonlinear PhysicsGeometry and TopologyMathematical PhysicsComputational Theory and Mathematics3 others

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

  1. 1 Quantum chaos and dynamical systems Statistical and Nonlinear Physics 8 works
  2. 2 Advanced Differential Equations and Dynamical Systems Geometry and Topology 8 works
  3. 3 Mathematical Dynamics and Fractals Mathematical Physics 6 works
  4. 4 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 4 works
  5. 5 Geometric and Algebraic Topology Geometry and Topology 3 works
  6. 6 Neural dynamics and brain function Cognitive Neuroscience 3 works
  7. 7 Nonlinear Partial Differential Equations Applied Mathematics 3 works
  8. 8 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 3 works
  9. 9 Algebraic Geometry and Number Theory Geometry and Topology 3 works
  10. 10 Advanced Topics in Algebra Algebra and Number Theory 3 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 available53.5%not open46.5%

World: 28% of research is openly available.

with international co-authors40.3%domestic only59.7%

World: 19% is written across borders.

How has Centre de Recerca Matemàtica's research output changed?

Output in 2018–2022 was 10% 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 Barcelona

All research institutions in Barcelona

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.