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Institute of Mathematics

In research, Institute of Mathematics stands highest in Physical Sciences (#4,507 of 12,888 worldwide), Mathematics (#462 of 1,053 worldwide) and Applied Mathematics (#83 of 137 worldwide), 2022–2025. Relative to its size it is most specialised in Numerical Analysis, Applied Mathematics and Mathematical Physics — Numerical Analysis is 80.2× its share of world research.

imath.kiev.uaROR OpenAlex
World rank, 2022–2025
#8,237
of 28,054 · #9,257 all time
Rank in Ukraine
#53
of 309
Research works
2.4k
▲ 3% vs 2013–17
Citations
19k
7.8 per fractional work
Top-10% rate
11.3%
record average 16.5%
Open access
31%
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 #4,507 of 12,888 12.0%276 #5386
MathematicsField #462 of 1,053 15.2%176 #834
Applied MathematicsSubfield #83 of 137 14.9%71 #427

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#5,386 #4,507
  2. Mathematics#834 #462
  3. Applied Mathematics#427 #83
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: Numerical Analysis takes 80.2× the share of its output that it takes of world research.

  1. Numerical AnalysisSubfield · 22.3 works80×
  2. Applied MathematicsSubfield · 71.5 works76×
  3. Mathematical PhysicsSubfield · 32.3 works63×
  4. Geometry and TopologySubfield · 26.3 works50×
  5. MathematicsField · 176.0 works46×
← 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: 1.06× its world share, 16 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.26× its world share, 4 worksBiochemistry, Geneti…Neuroscience: 0.03× its world share, 0 worksNeuroscienceChemical Engineering: 0.35× its world share, 0 worksChemical EngineeringChemistry: 0.40× its world share, 2 worksChemistryComputer Science: 1.27× its world share, 32 worksComputer ScienceEarth and Planetary Sciences: 0.47× its world share, 2 worksEarth and Planetary …Energy: 0.08× its world share, 0 worksEnergyEngineering: 0.63× its world share, 31 worksEngineeringEnvironmental Science: 0.25× its world share, 4 worksEnvironmental ScienceMaterials Science: 0.24× its world share, 3 worksMaterials ScienceMathematics: 45.94× its world share, 176 worksMathematicsPhysics and Astronomy: 3.48× its world share, 25 worksPhysics and AstronomyHealth Professions: 0.01× its world share, 0 worksHealth ProfessionsMedicine: 0.11× its world share, 7 worksMedicineArts and Humanities: 0.07× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.07× its world share, 1 worksBusiness, Management…Decision Sciences: 0.66× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 1.45× its world share, 10 worksEconomics, Econometr…Psychology: 0.02× its world share, 0 worksPsychologySocial Sciences: 0.21× 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, 45.9×. Every wedge is a field page.

Who are the top researchers at Institute of Mathematics?

Ranked on the composite score, В. Л. Макаров, Volodymyr Lyubashenko and М. Л. Горбачук lead among researchers whose main affiliation is Institute of Mathematics.

  1. 1 В. Л. Макаров Ukraine · #374,603 worldwide 104 citations · 60 works
  2. 2 Volodymyr Lyubashenko Ukraine · #469,278 worldwide 89 citations · 20 works
  3. 3 М. Л. Горбачук Ukraine · #552,703 worldwide 44 citations · 21 works
  4. 4 I. P. Gavrilyuk Ukraine · #554,920 worldwide 105 citations · 15 works
  5. 5 Roman Cherniha Ukraine · #564,724 worldwide 103 citations · 35 works
  6. 6 Vladimir V. Sergeichuk Ukraine · #662,265 worldwide 82 citations · 28 works
  7. 7 Roman O. Popovych Ukraine · #690,195 worldwide 162 citations · 47 works
  8. 8 Renat Zhdanov Ukraine · #870,458 worldwide 79 citations · 23 works
  9. 9 А. А. Бойчук Ukraine · #878,734 worldwide 16 citations · 21 works
  10. 10 V. Boyko Ukraine · #999,943 worldwide 64 citations · 24 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: Weighted Spaces, Nonlinear Equations, Boundary Value Problems, Hypergeometric Functions, Partial Differential Equations, Inverse Problem, Nonlocal and Geometric Algebra.

▲ 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. Weighted Spaces22▲ 311×2 topics
  2. Nonlinear Equations20▲ 47×5 topics
  3. Boundary Value Problems19▲ 116×2 topics
  4. Hypergeometric Functions18▲ 250×2 topics
  5. Partial Differential Equations16▲ 92×2 topics
  6. Inverse Problem15▲ 253×1 topic
  7. Nonlocal15▲ 253×1 topic
  8. Geometric Algebra14▲ 336×1 topic
  9. Quaternionic Analysis14▲ 336×1 topic
  10. Holomorphic Functions13▲ 167×2 topics
  11. Ergodic Theory13▲ 133×2 topics
  12. Numerical Integration13▲ 136×2 topics
  13. Dynamical Systems12▲ 53×4 topics
  14. Composition Operators11▲ 223×1 topic
  15. Toeplitz Operators11▲ 223×1 topic
  16. High-dimensional Integration11▲ 520×1 topic
  17. Numerical Methods11▲ 40×4 topics
  18. Quasi-Monte Carlo11▲ 520×1 topic
  19. Complex Analysis11▲ 329×1 topic
  20. Geometric Function Theory11▲ 350×1 topic
  21. Wavelets11▲ 106×3 topics
  22. Chaos9▲ 38×3 topics
  23. Random Matrix Theory8▲ 85×3 topics
  24. Porous Media8▲ 20×4 topics
  25. Cohomology8▲ 58×2 topics
  26. Nonlinear Systems8▲ 11×5 topics
  27. Orthogonal Polynomials8▲ 177×1 topic
  28. Quadrature Methods8▲ 177×1 topic
  29. Deformations7▲ 90×1 topic
  30. Fractals7▲ 128×1 topic
  31. Hom-Lie Algebras7▲ 90×1 topic
  32. Iterative Methods7▲ 59×2 topics
  33. Lyapunov Exponents7▲ 128×1 topic
  34. Nonlinear Schrödinger Equation7▲ 38×2 topics
  35. Controllability7▲ 48×2 topics
  36. Functional Analysis7▲ 62×2 topics
  37. Heterogeneous7▲ 54×1 topic
  38. Multiscale Methods7▲ 54×1 topic
  39. Convection-Diffusion Problems6▲ 72×1 topic
  40. Singular Perturbation6▲ 72×1 topic

Which research topics does Institute of Mathematics publish most on?

By volume in 2022–2025: Differential Equations and Boundary Problems, Algebraic and Geometric Analysis, Holomorphic and Operator Theory and Mathematical Approximation and Integration.

Differential Equations a…15Differential Equations and Boundary Problems: 15 fractional worksAlgebraic and Geometric …14Algebraic and Geometric Analysis: 14 fractional worksHolomorphic and Operator…11Holomorphic and Operator Theory: 11 fractional worksMathematical Approximati…11Mathematical Approximation and Integration: 11 fractional worksAnalytic and geometric function theory: 11 fractional worksMathematical functions and polynomials: 8 fractional worksAdvanced Topics in Algebra7Advanced Topics in Algebra: 7 fractional worksMathematical Dynamics an…7Mathematical Dynamics and Fractals: 7 fractional worksAdvanced Mathematical Mo…7Advanced Mathematical Modeling in Engineering: 7 fractional worksDifferential Equations a…6Differential Equations and Numerical Methods: 6 fractional works
Applied MathematicsNumerical AnalysisGeometry and TopologyAlgebra and Number Theory2 others

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

  1. 1 Differential Equations and Boundary Problems Applied Mathematics 15 works
  2. 2 Algebraic and Geometric Analysis Applied Mathematics 14 works
  3. 3 Holomorphic and Operator Theory Applied Mathematics 11 works
  4. 4 Mathematical Approximation and Integration Numerical Analysis 11 works
  5. 5 Analytic and geometric function theory Geometry and Topology 11 works
  6. 6 Mathematical functions and polynomials Applied Mathematics 8 works
  7. 7 Advanced Topics in Algebra Algebra and Number Theory 7 works
  8. 8 Mathematical Dynamics and Fractals Mathematical Physics 7 works
  9. 9 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 7 works
  10. 10 Differential Equations and Numerical Methods Numerical Analysis 6 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 available30.8%not open69.2%

World: 28% of research is openly available.

with international co-authors24.8%domestic only75.2%

World: 19% is written across borders.

How has Institute of Mathematics's research output changed?

Output in 2018–2022 was 3% 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 Kyiv

All research institutions in Kyiv

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.