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Research facility · Warsaw · Poland

Institute of Mathematics

In research, Institute of Mathematics stands highest in Physical Sciences (#3,829 of 12,888 worldwide), Mathematics (#357 of 1,053 worldwide) and Applied Mathematics (#97 of 137 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 92.7× its share of world research.

impan.pl/enROR OpenAlex
World rank, 2022–2025
#6,675
of 28,054 · #4,267 all time
Rank in Poland
#76
of 318
Research works
7.2k
▼ 33% vs 2013–17
Citations
89k
12.2 per fractional work
Top-10% rate
8.4%
record average 16.5%
Open access
42%
world 28%

What is 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 #3,829 of 12,888 8.5%454 #2584
MathematicsField #357 of 1,053 8.9%303 #252
Applied MathematicsSubfield #97 of 137 10.2%82 #131
Computer ScienceField #3,832 of 4,667 6.9%66 #2199
Geometry and TopologySubfield #52 of 56 7.2%70 #131
Mathematical PhysicsSubfield #55 of 58 8.0%76 #85

Each strip is that field’s whole ranked pool, with the notch where 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#2,584 #3,829
  2. Mathematics#252 #357
  3. Applied Mathematics#131 #97
  4. Computer Science#2,199 #3,832
  5. Geometry and Topology#131 #52
  6. Mathematical Physics#85 #55
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 Institute of Mathematics specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 92.7× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 75.7 works93×
  2. Algebra and Number TheorySubfield · 28.9 works87×
  3. Geometry and TopologySubfield · 70.2 works84×
  4. Applied MathematicsSubfield · 82.2 works55×
  5. MathematicsField · 302.8 works50×
  6. Computational Theory and MathematicsSubfield · 43.7 works20×
← 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: 0.09× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.26× its world share, 7 worksBiochemistry, Geneti…Immunology and Microbiology: 0.12× its world share, 1 worksImmunology and Micro…Neuroscience: 0.21× its world share, 2 worksNeuroscienceChemistry: 0.34× its world share, 3 worksChemistryComputer Science: 1.64× its world share, 66 worksComputer ScienceEarth and Planetary Sciences: 0.26× its world share, 2 worksEarth and Planetary …Energy: 0.05× its world share, 0 worksEnergyEngineering: 0.55× its world share, 42 worksEngineeringEnvironmental Science: 0.25× its world share, 6 worksEnvironmental ScienceMaterials Science: 0.34× its world share, 6 worksMaterials ScienceMathematics: 49.90× its world share, 303 worksMathematicsPhysics and Astronomy: 2.20× its world share, 25 worksPhysics and AstronomyDentistry: 0.09× its world share, 0 worksDentistryHealth Professions: 0.04× its world share, 1 worksHealth ProfessionsMedicine: 0.12× its world share, 12 worksMedicineNursing: 0.08× its world share, 0 worksNursingVeterinary: 0.16× its world share, 0 worksVeterinaryArts and Humanities: 0.05× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.11× its world share, 2 worksBusiness, Management…Decision Sciences: 2.51× its world share, 12 worksDecision SciencesEconomics, Econometrics and Finance: 1.33× its world share, 15 worksEconomics, Econometr…Psychology: 0.06× its world share, 1 worksPsychologySocial Sciences: 0.10× its world share, 7 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 49.9×. Every wedge is a field page.

Who are the top researchers at Institute of Mathematics?

Ranked on the composite score, Andrzej Skowron, W. Wegner and Andrzej Lasota lead among researchers whose main affiliation is Institute of Mathematics.

  1. 1 Andrzej Skowron Poland · #189,436 worldwide 407 citations · 104 works
  2. 2 W. Wegner Poland · #304,063 worldwide 47 citations · 23 works
  3. 3 Andrzej Lasota Poland · #433,771 worldwide 93 citations · 29 works
  4. 4 Ryszard Rudnicki Poland · #469,370 worldwide 128 citations · 36 works
  5. 5 Jan W. Cholewa Poland · #507,858 worldwide 71 citations · 17 works
  6. 6 Tomasz Szarek Poland · #688,437 worldwide 79 citations · 29 works
  7. 7 Teresa Ledwina Poland · #692,898 worldwide 105 citations · 18 works
  8. 8 S. Rolewicz Poland · #730,520 worldwide 62 citations · 26 works
  9. 9 Z. Ciesielski Poland · #752,072 worldwide 88 citations · 15 works
  10. 10 Tadeusz Radzik Poland · #763,402 worldwide 42 citations · 15 works
All ranked researchers at Institute of Mathematics

Which keywords describe research at Institute of Mathematics?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Banach Spaces, Symplectic Geometry, Holomorphic Functions, Tropical Geometry, Nonlinear Equations, Functional Analysis, 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. Banach Spaces30▲ 203×3 topics
  2. Symplectic Geometry24▲ 131×2 topics
  3. Holomorphic Functions23▲ 184×2 topics
  4. Tropical Geometry22▲ 130×2 topics
  5. Nonlinear Equations21▲ 32×6 topics
  6. Functional Analysis21▲ 120×2 topics
  7. Ergodic Theory18▲ 121×2 topics
  8. Cohomology18▲ 79×2 topics
  9. Linear Differential Equations17▲ 267×2 topics
  10. K-Theory16▲ 122×2 topics
  11. Dynamical Systems15▲ 43×4 topics
  12. Gromov-Witten Theory15▲ 142×1 topic
  13. Model Theory15▲ 297×1 topic
  14. Moduli Theory15▲ 142×1 topic
  15. Topological Dynamics15▲ 297×1 topic
  16. Modular Forms14▲ 74×3 topics
  17. Operators14▲ 309×1 topic
  18. Topological Vector Spaces14▲ 309×1 topic
  19. Functional Equations14▲ 377×1 topic
  20. Hyers-Ulam Stability14▲ 377×1 topic
  21. Boundary Value Problems14▲ 51×3 topics
  22. Quantum Groups13▲ 73×2 topics
  23. Random Matrix Theory13▲ 83×3 topics
  24. Chaos13▲ 34×3 topics
  25. Wavelets12▲ 73×3 topics
  26. Controllability12▲ 52×2 topics
  27. Fractals12▲ 125×1 topic
  28. L-Functions12▲ 79×2 topics
  29. Lyapunov Exponents12▲ 125×1 topic
  30. Deformations11▲ 84×1 topic
  31. Hom-Lie Algebras11▲ 84×1 topic
  32. Hypergeometric Functions11▲ 94×2 topics
  33. Deformation Quantization10▲ 118×1 topic
  34. Poisson Manifolds10▲ 118×1 topic
  35. Porous Media10▲ 15×3 topics
  36. Weighted Spaces10▲ 88×2 topics
  37. Finite Element10▲ 43×2 topics
  38. Representation Theory10▲ 58×2 topics
  39. Nonlinear Schrödinger Equation9▲ 33×2 topics
  40. Monte Carlo Simulation9▲ 8.9×3 topics

Which research topics does Institute of Mathematics publish most on?

By volume in 2022–2025: Advanced Topology and Set Theory, Algebraic Geometry and Number Theory, Advanced Banach Space Theory and Functional Equations Stability Results.

Advanced Topology and Se…15Advanced Topology and Set Theory: 15 fractional worksAlgebraic Geometry and N…15Algebraic Geometry and Number Theory: 15 fractional worksAdvanced Banach Space Theory: 14 fractional worksFunctional Equations Sta…14Functional Equations Stability Results: 14 fractional worksMathematical Dynamics an…12Mathematical Dynamics and Fractals: 12 fractional worksAdvanced Topics in Algebra: 11 fractional worksHomotopy and Cohomology in Algebraic Topology: 10 fractional worksAdvanced Mathematical Mo…9Advanced Mathematical Modeling in Engineering: 9 fractional worksHolomorphic and Operator Theory: 9 fractional worksGeometric and Algebraic Topology: 8 fractional works
Geometry and TopologyMathematical PhysicsApplied MathematicsAlgebra and Number Theory1 others

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

  1. 1 Advanced Topology and Set Theory Geometry and Topology 15 works
  2. 2 Algebraic Geometry and Number Theory Geometry and Topology 15 works
  3. 3 Advanced Banach Space Theory Mathematical Physics 14 works
  4. 4 Functional Equations Stability Results Applied Mathematics 14 works
  5. 5 Mathematical Dynamics and Fractals Mathematical Physics 12 works
  6. 6 Advanced Topics in Algebra Algebra and Number Theory 11 works
  7. 7 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 10 works
  8. 8 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 9 works
  9. 9 Holomorphic and Operator Theory Applied Mathematics 9 works
  10. 10 Geometric and Algebraic Topology Geometry and Topology 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 available41.9%not open58.1%

World: 28% of research is openly available.

with international co-authors23.5%domestic only76.5%

World: 19% is written across borders.

How has Institute of Mathematics's research output changed?

Output in 2018–2022 was 33% 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 Warsaw

All research institutions in Warsaw

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.