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Research facility · Madrid · Spain

Institute of Mathematical Sciences

In research, Institute of Mathematical Sciences stands highest in Physical Sciences (#3,041 of 12,888 worldwide) and Mathematics (#481 of 1,053 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Geometry and Topology and Applied Mathematics — Mathematical Physics is 66.0× its share of world research.

icmat.esROR OpenAlex
World rank, 2022–2025
#5,211
of 28,054 · #7,683 all time
Rank in Spain
#141
of 658
Research works
1.1k
▲ 30% vs 2013–17
Citations
13k
11.1 per fractional work
Top-10% rate
16.8%
record average 16.5%
Open access
62%
world 28%

What is Institute of Mathematical 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 #3,041 of 12,888 16.8%297 #4673
MathematicsField #481 of 1,053 16.0%141 #816

Each strip is that field’s whole ranked pool, with the notch where Institute of Mathematical 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).

What does Institute of Mathematical Sciences specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 66.0× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 35.9 works66×
  2. Geometry and TopologySubfield · 31.3 works56×
  3. Applied MathematicsSubfield · 40.6 works41×
  4. MathematicsField · 140.5 works35×
← 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: 0.10× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.39× its world share, 7 worksBiochemistry, Geneti…Immunology and Microbiology: 0.06× its world share, 0 worksImmunology and Micro…Neuroscience: 0.13× its world share, 1 worksNeuroscienceChemical Engineering: 0.10× its world share, 0 worksChemical EngineeringChemistry: 0.33× its world share, 2 worksChemistryComputer Science: 1.94× its world share, 52 worksComputer ScienceEarth and Planetary Sciences: 0.92× its world share, 5 worksEarth and Planetary …Energy: 0.06× its world share, 0 worksEnergyEngineering: 0.77× its world share, 40 worksEngineeringEnvironmental Science: 0.17× its world share, 3 worksEnvironmental ScienceMaterials Science: 0.36× its world share, 4 worksMaterials ScienceMathematics: 34.80× its world share, 140 worksMathematicsPhysics and Astronomy: 6.59× its world share, 50 worksPhysics and AstronomyHealth Professions: 0.11× its world share, 1 worksHealth ProfessionsMedicine: 0.08× its world share, 6 worksMedicineArts and Humanities: 0.21× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.35× its world share, 4 worksBusiness, Management…Decision Sciences: 2.14× its world share, 7 worksDecision SciencesEconomics, Econometrics and Finance: 0.88× its world share, 6 worksEconomics, Econometr…Psychology: 0.24× its world share, 2 worksPsychologySocial Sciences: 0.20× its world share, 8 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 34.8×. Every wedge is a field page.

Who are the top researchers at Institute of Mathematical Sciences?

Ranked on the composite score, Oscar Garcı́a-Prada, Diego Córdoba and Francisco Presas lead among researchers whose main affiliation is Institute of Mathematical Sciences.

  1. 1 Oscar Garcı́a-Prada Spain · #275,582 worldwide 168 citations · 29 works
  2. 2 Diego Córdoba Spain · #410,496 worldwide 171 citations · 35 works
  3. 3 Francisco Presas Spain · #733,429 worldwide 39 citations · 24 works
  4. 4 Roger Casals Spain · #934,702 worldwide 34 citations · 19 works
  5. 5 Daniel Peralta‐Salas Spain · #1,158,338 worldwide 48 citations · 46 works
  6. 6 Ana M. Mancho Spain · #1,223,351 worldwide 58 citations · 32 works
  7. 7 Alberto Enciso Spain · #1,377,766 worldwide 26 citations · 35 works
  8. 8 José Ignacio Burgos Gil Spain · #1,395,717 worldwide 30 citations · 27 works
  9. 9 Eva A. Gallardo‐Gutiérrez Spain · #1,526,447 worldwide 13 citations · 21 works
All ranked researchers at Institute of Mathematical Sciences

Which keywords describe research at Institute of Mathematical Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Nonlinear Equations, Symplectic Geometry, Dynamical Systems, Entanglement, Quantum Groups, Nonlinear Schrödinger Equation, Cohomology and K-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. Nonlinear Equations18▲ 40×5 topics
  2. Symplectic Geometry12▲ 96×2 topics
  3. Dynamical Systems10▲ 46×3 topics
  4. Entanglement10▲ 18×4 topics
  5. Quantum Groups9▲ 76×2 topics
  6. Nonlinear Schrödinger Equation9▲ 47×2 topics
  7. Cohomology9▲ 59×2 topics
  8. K-Theory8▲ 99×2 topics
  9. Fractional Laplacian8▲ 113×1 topic
  10. Quantum Information8▲ 21×3 topics
  11. Sobolev Spaces8▲ 113×1 topic
  12. Tropical Geometry8▲ 75×2 topics
  13. Quantum Gravity8▲ 29×4 topics
  14. Porous Media8▲ 18×4 topics
  15. Holomorphic Functions8▲ 94×2 topics
  16. Modular Forms8▲ 59×3 topics
  17. Representation Theory8▲ 70×2 topics
  18. String Theory8▲ 38×2 topics
  19. Finite Element7▲ 49×2 topics
  20. Boundary Value Problems7▲ 42×3 topics
  21. Nonlinear Systems7▲ 10×7 topics
  22. Heterogeneous7▲ 54×1 topic
  23. Multiscale Methods7▲ 54×1 topic
  24. Cluster Algebras7▲ 73×1 topic
  25. Triangulated Categories7▲ 73×1 topic
  26. Stability7▲ 8.4×4 topics
  27. Knot Invariants6▲ 124×1 topic
  28. L-Functions6▲ 66×2 topics
  29. Symplectic Topology6▲ 124×1 topic
  30. Optimal Transport6▲ 87×1 topic
  31. Ricci Curvature6▲ 87×1 topic
  32. Quantum Entanglement6▲ 28×2 topics
  33. Ergodic Theory6▲ 60×2 topics
  34. Black Holes6▲ 19×3 topics
  35. Deformation Quantization6▲ 107×1 topic
  36. Gromov-Witten Theory6▲ 87×1 topic
  37. Moduli Theory6▲ 87×1 topic
  38. Poisson Manifolds6▲ 107×1 topic
  39. Field Theories6▲ 37×1 topic
  40. Rogue Waves6▲ 29×2 topics

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

By volume in 2022–2025: Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering, Algebraic structures and combinatorial models and Geometric and Algebraic Topology.

Nonlinear Partial Differ…8Nonlinear Partial Differential Equations: 8 fractional worksAdvanced Mathematical Mo…7Advanced Mathematical Modeling in Engineering: 7 fractional worksAlgebraic structures and combinatorial models: 7 fractional worksGeometric and Algebraic Topology: 6 fractional worksGeometric Analysis and Curvature Flows: 6 fractional worksHomotopy and Cohomology in Algebraic Topology: 6 fractional worksAlgebraic Geometry and Number Theory: 6 fractional worksBlack Holes and Theoreti…6Black Holes and Theoretical Physics: 6 fractional worksNonlinear Waves and Solitons: 6 fractional worksQuantum chaos and dynamical systems: 5 fractional works
Applied MathematicsComputational Theory and MathematicsGeometry and TopologyMathematical Physics2 others

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

  1. 1 Nonlinear Partial Differential Equations Applied Mathematics 8 works
  2. 2 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 7 works
  3. 3 Algebraic structures and combinatorial models Geometry and Topology 7 works
  4. 4 Geometric and Algebraic Topology Geometry and Topology 6 works
  5. 5 Geometric Analysis and Curvature Flows Applied Mathematics 6 works
  6. 6 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 6 works
  7. 7 Algebraic Geometry and Number Theory Geometry and Topology 6 works
  8. 8 Black Holes and Theoretical Physics Nuclear and High Energy Physics 6 works
  9. 9 Nonlinear Waves and Solitons Statistical and Nonlinear Physics 6 works
  10. 10 Quantum chaos and dynamical systems Statistical and Nonlinear Physics 5 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 available62.5%not open37.5%

World: 28% of research is openly available.

with international co-authors54.1%domestic only45.9%

World: 19% is written across borders.

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

Output in 2018–2022 was 30% higher 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 Madrid

All research institutions in Madrid

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.