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Research facility · Moscow · Russia

Steklov Mathematical Institute

In research, Steklov Mathematical Institute stands highest in Physical Sciences (#2,530 of 12,888 worldwide), Mathematics (#215 of 1,053 worldwide) and Geometry and Topology (#31 of 56 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Geometry and Topology and Discrete Mathematics and Combinatorics — Mathematical Physics is 88.1× its share of world research.

mi.ras.ruROR OpenAlex
World rank, 2022–2025
#4,449
of 28,054 · #1,692 all time
Rank in Russia
#51
of 1,062
Research works
6.9k
▲ 15% vs 2013–17
Citations
112k
16.3 per fractional work
Top-10% rate
10.2%
record average 16.5%
Open access
29%
world 28%

What is Steklov Mathematical Institute 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 #2,530 of 12,888 10.2%811 #1174
MathematicsField #215 of 1,053 9.4%407 #52
Geometry and TopologySubfield #31 of 56 12.3%93 #24
Mathematical PhysicsSubfield #34 of 58 8.2%124 #35
Computer ScienceField #3,057 of 4,667 6.7%147 #1970
Physics and AstronomyField #1,293 of 1,646 18.3%155 #969
Applied MathematicsSubfield #113 of 137 7.6%89 #120
Social SciencesDomain #9,577 of 10,521 11.4%61 #7087
EngineeringField #6,065 of 6,636 6.9%81 #4554
Artificial IntelligenceSubfield #1,787 of 1,884 7.1%72 #1605

Each strip is that field’s whole ranked pool, with the notch where Steklov Mathematical Institute 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#1,174 #2,530
  2. Mathematics#52 #215
  3. Geometry and Topology#24 #31
  4. Mathematical Physics#35 #34
  5. Computer Science#1,970 #3,057
  6. Physics and Astronomy#969 #1,293
  7. Applied Mathematics#120 #113
  8. Social Sciences#7,087 #9,577
  9. Engineering#4,554 #6,065
  10. Artificial Intelligence#1,605 #1,787
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 Steklov Mathematical Institute specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 88.1× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 123.7 works88×
  2. Geometry and TopologySubfield · 93.3 works65×
  3. Discrete Mathematics and CombinatoricsSubfield · 22.2 works63×
  4. Algebra and Number TheorySubfield · 34.2 works60×
  5. MathematicsField · 407.2 works39×
  6. Applied MathematicsSubfield · 89.1 works35×
  7. Numerical AnalysisSubfield · 23.2 works31×
  8. Statistical and Nonlinear PhysicsSubfield · 59.6 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: 0.01× its world share, 1 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.15× its world share, 7 worksBiochemistry, Geneti…Immunology and Microbiology: 0.01× its world share, 0 worksImmunology and Micro…Neuroscience: 0.03× its world share, 0 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.03× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.46× its world share, 1 worksChemical EngineeringChemistry: 0.18× its world share, 3 worksChemistryComputer Science: 2.14× its world share, 147 worksComputer ScienceEarth and Planetary Sciences: 0.53× its world share, 7 worksEarth and Planetary …Energy: 0.06× its world share, 0 worksEnergyEngineering: 0.61× its world share, 81 worksEngineeringEnvironmental Science: 0.06× its world share, 3 worksEnvironmental ScienceMaterials Science: 0.21× its world share, 7 worksMaterials ScienceMathematics: 39.04× its world share, 407 worksMathematicsPhysics and Astronomy: 7.86× its world share, 155 worksPhysics and AstronomyHealth Professions: 0.05× its world share, 1 worksHealth ProfessionsMedicine: 0.03× its world share, 4 worksMedicineArts and Humanities: 0.12× its world share, 3 worksArts and HumanitiesBusiness, Management and Accounting: 0.03× its world share, 1 worksBusiness, Management…Decision Sciences: 1.07× its world share, 9 worksDecision SciencesEconomics, Econometrics and Finance: 0.82× its world share, 16 worksEconomics, Econometr…Psychology: 0.03× its world share, 1 worksPsychologySocial Sciences: 0.28× its world share, 32 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 39.0×. Every wedge is a field page.

Who are the top researchers at Steklov Mathematical Institute?

Ranked on the composite score, Vladimir I. Arnold, L. D. Faddeev and Lyudvig Dmitrievich Faddeev lead among researchers whose main affiliation is Steklov Mathematical Institute.

  1. 1 Vladimir I. Arnold Russia · #3,467 worldwide 1.5k citations · 136 works
  2. 2 L. D. Faddeev Russia · #13,051 worldwide 994 citations · 49 works
  3. 3 Lyudvig Dmitrievich Faddeev Russia · #30,984 worldwide 551 citations · 36 works
  4. 4 И. А. Ибрагимов Russia · #46,573 worldwide 477 citations · 77 works
  5. 5 A. S. Holevo Russia · #52,917 worldwide 537 citations · 52 works
  6. 6 В. Н. Попов Russia · #58,089 worldwide 473 citations · 30 works
  7. 7 Dmitri Olegovich Orlov Russia · #64,517 worldwide 248 citations · 32 works
  8. 8 Vasilii S Vladimirov Russia · #68,299 worldwide 110 citations · 42 works
  9. 9 P. P. Kulish Russia · #71,458 worldwide 372 citations · 49 works
  10. 10 Alexander Razborov Russia · #90,897 worldwide 325 citations · 39 works
All ranked researchers at Steklov Mathematical Institute

Which keywords describe research at Steklov Mathematical Institute?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Nonlinear Equations, Entanglement, String Theory, Modular Forms, Wavelets, Symplectic Geometry, Ergodic Theory and Cohomology.

▲ 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 Equations51▲ 44×6 topics
  2. Entanglement40▲ 30×4 topics
  3. String Theory39▲ 77×2 topics
  4. Modular Forms38▲ 113×3 topics
  5. Wavelets37▲ 134×3 topics
  6. Symplectic Geometry36▲ 111×2 topics
  7. Ergodic Theory35▲ 135×2 topics
  8. Cohomology35▲ 91×2 topics
  9. L-Functions33▲ 130×2 topics
  10. Dynamical Systems32▲ 55×3 topics
  11. Representation Theory30▲ 109×2 topics
  12. Nonlinear Schrödinger Equation29▲ 59×2 topics
  13. Dynamics28▲ 70×3 topics
  14. Quantum Information28▲ 27×3 topics
  15. Cryptography27▲ 25×3 topics
  16. Tropical Geometry27▲ 93×2 topics
  17. Random Matrix Theory25▲ 93×3 topics
  18. Quantum Gravity25▲ 34×4 topics
  19. Rogue Waves24▲ 46×2 topics
  20. Mathematical Physics23▲ 180×2 topics
  21. Gromov-Witten Theory23▲ 130×1 topic
  22. Moduli Theory23▲ 130×1 topic
  23. Quantum Groups22▲ 72×2 topics
  24. Integrable Equations22▲ 71×1 topic
  25. Soliton Solutions22▲ 71×1 topic
  26. p-adic22▲ 219×1 topic
  27. ultrametric22▲ 219×1 topic
  28. Automorphic Forms22▲ 138×1 topic
  29. Langlands Conjectures22▲ 138×1 topic
  30. Superconducting Circuits21▲ 35×2 topics
  31. Quantum Entanglement21▲ 37×2 topics
  32. Computation21▲ 33×2 topics
  33. Boundary Value Problems20▲ 45×3 topics
  34. Metrology20▲ 38×1 topic
  35. Quantum20▲ 28×1 topic
  36. Weighted Spaces20▲ 103×2 topics
  37. Cluster Algebras19▲ 81×1 topic
  38. Triangulated Categories19▲ 81×1 topic
  39. Black Holes18▲ 22×3 topics
  40. Number Theory18▲ 85×3 topics

Which research topics does Steklov Mathematical Institute publish most on?

By volume in 2022–2025: Algebraic Geometry and Number Theory, Nonlinear Waves and Solitons, advanced mathematical theories and Advanced Algebra and Geometry.

Algebraic Geometry and N…23Algebraic Geometry and Number Theory: 23 fractional worksNonlinear Waves and Soli…22Nonlinear Waves and Solitons: 22 fractional worksadvanced mathematical theories: 22 fractional worksAdvanced Algebra and Geo…22Advanced Algebra and Geometry: 22 fractional worksQuantum Information and …20Quantum Information and Cryptography: 20 fractional worksAlgebraic structures and combinatorial models: 19 fractional worksBlack Holes and Theoretical Physics: 17 fractional worksQuantum chaos and dynami…16Quantum chaos and dynamical systems: 16 fractional worksSpectral Theory in Mathematical Physics: 15 fractional worksDifferential Equations and Boundary Problems: 15 fractional works
Geometry and TopologyStatistical and Nonlinear PhysicsMathematical PhysicsArtificial Intelligence2 others

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

  1. 1 Algebraic Geometry and Number Theory Geometry and Topology 23 works
  2. 2 Nonlinear Waves and Solitons Statistical and Nonlinear Physics 22 works
  3. 3 advanced mathematical theories Mathematical Physics 22 works
  4. 4 Advanced Algebra and Geometry Mathematical Physics 22 works
  5. 5 Quantum Information and Cryptography Artificial Intelligence 20 works
  6. 6 Algebraic structures and combinatorial models Geometry and Topology 19 works
  7. 7 Black Holes and Theoretical Physics Nuclear and High Energy Physics 17 works
  8. 8 Quantum chaos and dynamical systems Statistical and Nonlinear Physics 16 works
  9. 9 Spectral Theory in Mathematical Physics Mathematical Physics 15 works
  10. 10 Differential Equations and Boundary Problems Applied Mathematics 15 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 available29.2%not open70.8%

World: 28% of research is openly available.

with international co-authors18.0%domestic only82.0%

World: 19% is written across borders.

How has Steklov Mathematical Institute's research output changed?

Output in 2018–2022 was 15% 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 Moscow

All research institutions in Moscow

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.