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Research facility · Rio de Janeiro · Brazil

Instituto Nacional de Matemática Pura e Aplicada

In research, Instituto Nacional de Matemática Pura e Aplicada stands highest in Physical Sciences (#5,493 of 12,888 worldwide) and Mathematics (#874 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 113.6× its share of world research.

impa.br/opencms/enROR OpenAlex
World rank, 2022–2025
#9,637
of 28,054 · #5,860 all time
Rank in Brazil
#135
of 714
Research works
1.9k
▼ 31% vs 2013–17
Citations
42k
21.5 per fractional work
Top-10% rate
9.3%
record average 16.5%
Open access
43%
world 28%

What is Instituto Nacional de Matemática Pura e Aplicada 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 #5,493 of 12,888 9.1%180 #3679
MathematicsField #874 of 1,053 8.8%110 #568

Each strip is that field’s whole ranked pool, with the notch where Instituto Nacional de Matemática Pura e Aplicada 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 Instituto Nacional de Matemática Pura e Aplicada specialise in?

Where its research is concentrated relative to its size: Geometry and Topology takes 113.6× the share of its output that it takes of world research.

  1. Geometry and TopologySubfield · 37.6 works114×
  2. Mathematical PhysicsSubfield · 30.4 works95×
  3. MathematicsField · 110.4 works46×
  4. Applied MathematicsSubfield · 20.7 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: 0.12× its world share, 1 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.15× its world share, 2 worksBiochemistry, Geneti…Neuroscience: 0.05× its world share, 0 worksNeuroscienceComputer Science: 1.74× its world share, 28 worksComputer ScienceEarth and Planetary Sciences: 0.78× its world share, 2 worksEarth and Planetary …Energy: 0.04× its world share, 0 worksEnergyEngineering: 0.61× its world share, 18 worksEngineeringEnvironmental Science: 0.20× its world share, 2 worksEnvironmental ScienceMaterials Science: 0.18× its world share, 1 worksMaterials ScienceMathematics: 46.11× its world share, 110 worksMathematicsPhysics and Astronomy: 3.93× its world share, 18 worksPhysics and AstronomyHealth Professions: 0.28× its world share, 2 worksHealth ProfessionsMedicine: 0.10× its world share, 4 worksMedicineNursing: 0.06× its world share, 0 worksNursingArts and Humanities: 0.41× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.04× its world share, 0 worksBusiness, Management…Decision Sciences: 1.19× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 1.44× its world share, 6 worksEconomics, Econometr…Psychology: 0.25× its world share, 2 worksPsychologySocial Sciences: 0.08× its world share, 2 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 46.1×. Every wedge is a field page.

Who are the top researchers at Instituto Nacional de Matemática Pura e Aplicada?

Ranked on the composite score, B. F. Svaiter, M. V. Solodov and Marcelo Viana lead among researchers whose main affiliation is Instituto Nacional de Matemática Pura e Aplicada.

  1. 1 B. F. Svaiter Brazil · #70,152 worldwide 422 citations · 37 works
  2. 2 M. V. Solodov Brazil · #117,112 worldwide 299 citations · 35 works
  3. 3 Marcelo Viana Brazil · #118,957 worldwide 225 citations · 32 works
  4. 4 Alfredo N. Iusem Brazil · #156,260 worldwide 287 citations · 36 works
  5. 5 Artur Avila Brazil · #184,157 worldwide 244 citations · 44 works
  6. 6 Luiz Henrique de Figueiredo Brazil · #221,504 worldwide 194 citations · 18 works
  7. 7 Manfredo do Carmo Brazil · #226,894 worldwide 135 citations · 20 works
  8. 8 Luiz Velho Brazil · #275,786 worldwide 236 citations · 104 works
  9. 9 Claudia Sagastizábal Brazil · #331,545 worldwide 184 citations · 38 works
  10. 10 Felipe Linares Brazil · #361,383 worldwide 231 citations · 64 works
All ranked researchers at Instituto Nacional de Matemática Pura e Aplicada

Which keywords describe research at Instituto Nacional de Matemática Pura e Aplicada?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Symplectic Geometry, Tropical Geometry, Optimal Transport, Ricci Curvature, Dynamical Systems, Approximation Algorithms, Stability and Kähler Metrics.

▲ 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. Symplectic Geometry14▲ 184×2 topics
  2. Tropical Geometry10▲ 150×2 topics
  3. Optimal Transport9▲ 215×1 topic
  4. Ricci Curvature9▲ 215×1 topic
  5. Dynamical Systems9▲ 67×3 topics
  6. Approximation Algorithms9▲ 63×5 topics
  7. Stability9▲ 19×2 topics
  8. Kähler Metrics9▲ 323×1 topic
  9. Scalar Curvature9▲ 323×1 topic
  10. Ergodic Theory8▲ 135×2 topics
  11. Gromov-Witten Theory8▲ 198×1 topic
  12. Moduli Theory8▲ 198×1 topic
  13. Monte Carlo Simulation8▲ 19×4 topics
  14. Chaos8▲ 51×1 topic
  15. Fractals8▲ 209×1 topic
  16. Cohomology8▲ 86×2 topics
  17. K-Theory7▲ 145×2 topics
  18. Phase Transitions7▲ 62×3 topics
  19. Fractal Dimension7▲ 89×2 topics
  20. Interacting Particle Systems7▲ 263×1 topic
  21. Scaling Limits7▲ 263×1 topic
  22. Knot Invariants7▲ 214×1 topic
  23. Symplectic Topology7▲ 214×1 topic
  24. Critical Phenomena6▲ 155×1 topic
  25. Random Walk Algorithm6▲ 155×1 topic
  26. Deformation Quantization6▲ 166×1 topic
  27. Poisson Manifolds6▲ 166×1 topic
  28. Inverse Problems5▲ 25×4 topics
  29. Modular Forms5▲ 65×3 topics
  30. Nonlinear Equations5▲ 20×5 topics
  31. Quantum Groups5▲ 71×2 topics
  32. Model Selection5▲ 28×3 topics
  33. L-Functions5▲ 80×2 topics
  34. Bifurcations4▲ 96×1 topic
  35. Holomorphic Functions4▲ 87×2 topics
  36. Planar Systems4▲ 167×1 topic
  37. Representation Theory4▲ 63×2 topics
  38. Automorphic Forms4▲ 107×1 topic
  39. Bayesian Monte Carlo4▲ 237×1 topic
  40. Langlands Conjectures4▲ 107×1 topic

Which research topics does Instituto Nacional de Matemática Pura e Aplicada publish most on?

By volume in 2022–2025: Geometric Analysis and Curvature Flows, Geometry and complex manifolds, Algebraic Geometry and Number Theory and Mathematical Dynamics and Fractals.

Geometric Analysis and C…9Geometric Analysis and Curvature Flows: 9 fractional worksGeometry and complex man…9Geometry and complex manifolds: 9 fractional worksAlgebraic Geometry and N…8Algebraic Geometry and Number Theory: 8 fractional worksMathematical Dynamics an…8Mathematical Dynamics and Fractals: 8 fractional worksStochastic processes and statistical mechanics: 7 fractional worksGeometric and Algebraic Topology: 7 fractional worksTheoretical and Computat…6Theoretical and Computational Physics: 6 fractional worksHomotopy and Cohomology …6Homotopy and Cohomology in Algebraic Topology: 6 fractional worksAdvanced Differential Eq…4Advanced Differential Equations and Dynamical Systems: 4 fractional worksAdvanced Algebra and Geo…4Advanced Algebra and Geometry: 4 fractional works
Applied MathematicsGeometry and TopologyMathematical PhysicsCondensed Matter Physics

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

  1. 1 Geometric Analysis and Curvature Flows Applied Mathematics 9 works
  2. 2 Geometry and complex manifolds Geometry and Topology 9 works
  3. 3 Algebraic Geometry and Number Theory Geometry and Topology 8 works
  4. 4 Mathematical Dynamics and Fractals Mathematical Physics 8 works
  5. 5 Stochastic processes and statistical mechanics Mathematical Physics 7 works
  6. 6 Geometric and Algebraic Topology Geometry and Topology 7 works
  7. 7 Theoretical and Computational Physics Condensed Matter Physics 6 works
  8. 8 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 6 works
  9. 9 Advanced Differential Equations and Dynamical Systems Geometry and Topology 4 works
  10. 10 Advanced Algebra and Geometry Mathematical Physics 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 available42.6%not open57.4%

World: 28% of research is openly available.

with international co-authors36.3%domestic only63.7%

World: 19% is written across borders.

How has Instituto Nacional de Matemática Pura e Aplicada's research output changed?

Output in 2018–2022 was 31% 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 Rio de Janeiro

All research institutions in Rio de Janeiro

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.