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Research facility · Strasbourg · France

Institut de Recherche Mathématique Avancée

In research, Institut de Recherche Mathématique Avancée stands highest in Physical Sciences (#6,645 of 12,888 worldwide) and Mathematics (#749 of 1,053 worldwide), 2022–2025. Relative to its size it is most specialised in Geometry and Topology and Mathematics — Geometry and Topology is 109.5× its share of world research.

irma.math.unistra.frROR OpenAlex
World rank, 2022–2025
#12,150
of 28,054 · #7,262 all time
Rank in France
#490
of 1,422
Research works
1.4k
◆ 0% vs 2013–17
Citations
19k
13.5 per fractional work
Top-10% rate
10.1%
record average 16.5%
Open access
53%
world 28%

What is Institut de Recherche Mathématique Avancée 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 #6,645 of 12,888 8.6%99 #4554
MathematicsField #749 of 1,053 8.4%63 #461

Each strip is that field’s whole ranked pool, with the notch where Institut de Recherche Mathématique Avancée 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 Institut de Recherche Mathématique Avancée specialise in?

Where its research is concentrated relative to its size: Geometry and Topology takes 109.5× the share of its output that it takes of world research.

  1. Geometry and TopologySubfield · 21.9 works110×
  2. MathematicsField · 62.6 works43×
← 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: 0.04× its world share, 0 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.22× its world share, 1 worksBiochemistry, Geneti…Immunology and Microbiology: 0.01× its world share, 0 worksImmunology and Micro…Neuroscience: 0.31× its world share, 1 worksNeuroscienceChemical Engineering: 0.16× its world share, 0 worksChemical EngineeringChemistry: 0.36× its world share, 1 worksChemistryComputer Science: 1.74× its world share, 17 worksComputer ScienceEarth and Planetary Sciences: 0.14× its world share, 0 worksEarth and Planetary …Energy: 0.06× its world share, 0 worksEnergyEngineering: 0.54× its world share, 10 worksEngineeringEnvironmental Science: 0.05× its world share, 0 worksEnvironmental ScienceMaterials Science: 0.02× its world share, 0 worksMaterials ScienceMathematics: 43.23× its world share, 63 worksMathematicsPhysics and Astronomy: 3.16× its world share, 9 worksPhysics and AstronomyDentistry: 0.16× its world share, 0 worksDentistryHealth Professions: 0.09× its world share, 0 worksHealth ProfessionsMedicine: 0.07× its world share, 2 worksMedicineArts and Humanities: 1.22× its world share, 4 worksArts and HumanitiesBusiness, Management and Accounting: 0.15× its world share, 1 worksBusiness, Management…Decision Sciences: 1.85× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 1.23× its world share, 3 worksEconomics, Econometr…Psychology: 0.07× its world share, 0 worksPsychologySocial Sciences: 0.56× its world share, 9 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 43.2×. Every wedge is a field page.

Who are the top researchers at Institut de Recherche Mathématique Avancée?

Ranked on the composite score, Jean-Louis Loday, Michel Weber and Norbert Schappacher lead among researchers whose main affiliation is Institut de Recherche Mathématique Avancée.

  1. 1 Jean-Louis Loday France · #42,681 worldwide 422 citations · 37 works
  2. 2 Michel Weber France · #313,658 worldwide 123 citations · 85 works
  3. 3 Norbert Schappacher France · #325,026 worldwide 37 citations · 34 works
  4. 4 Dominique Foata France · #339,180 worldwide 98 citations · 33 works
  5. 5 Christian Kassel France · #343,481 worldwide 145 citations · 33 works
  6. 6 Vladimir Turaev France · #414,073 worldwide 134 citations · 45 works
  7. 7 Michel Émery France · #447,378 worldwide 52 citations · 20 works
  8. 8 Christophe Prud'Homme France · #475,594 worldwide 130 citations · 46 works
  9. 9 Alexandru Oancea France · #608,124 worldwide 54 citations · 21 works
  10. 10 Michel Coornaert France · #711,708 worldwide 102 citations · 43 works
All ranked researchers at Institut de Recherche Mathématique Avancée

Which keywords describe research at Institut de Recherche Mathématique Avancée?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Symplectic Geometry, Tropical Geometry, Cohomology, Modular Forms, L-Functions, Gromov-Witten Theory, Moduli Theory and Representation 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. Symplectic Geometry10▲ 213×2 topics
  2. Tropical Geometry7▲ 178×2 topics
  3. Cohomology7▲ 131×2 topics
  4. Modular Forms7▲ 147×3 topics
  5. L-Functions6▲ 167×2 topics
  6. Gromov-Witten Theory6▲ 226×1 topic
  7. Moduli Theory6▲ 226×1 topic
  8. Representation Theory6▲ 143×2 topics
  9. Quantum Groups5▲ 124×2 topics
  10. Automorphic Forms5▲ 222×1 topic
  11. Dynamical Systems5▲ 59×3 topics
  12. Langlands Conjectures5▲ 222×1 topic
  13. K-Theory5▲ 156×2 topics
  14. Cluster Algebras5▲ 139×1 topic
  15. Triangulated Categories5▲ 139×1 topic
  16. Ergodic Theory4▲ 115×2 topics
  17. Stability4▲ 14×2 topics
  18. Deformation Quantization4▲ 198×1 topic
  19. Poisson Manifolds4▲ 198×1 topic
  20. Complex Networks4▲ 54×3 topics
  21. Knot Invariants4▲ 202×1 topic
  22. Symplectic Topology4▲ 202×1 topic
  23. Bifurcations3▲ 121×2 topics
  24. Chaos3▲ 37×1 topic
  25. Fractals3▲ 150×1 topic
  26. Piecewise Linear3▲ 208×1 topic
  27. Planar Systems3▲ 208×1 topic
  28. Dynamics3▲ 52×3 topics
  29. Historical Sources3▲ 138×1 topic
  30. Mathematics Education3▲ 52×1 topic
  31. Feedback Control3▲ 14×2 topics
  32. Global Existence3▲ 73×2 topics
  33. Nonlinear Schrödinger Equation3▲ 39×2 topics
  34. Nonlinear Equations3▲ 17×5 topics
  35. Synchronization3▲ 18×3 topics
  36. Universality3▲ 106×2 topics
  37. Viscoelasticity2▲ 32×2 topics
  38. Boundary Control2▲ 94×1 topic
  39. Distributed Parameter Systems2▲ 94×1 topic
  40. Random Matrix Theory2▲ 65×3 topics

Which research topics does Institut de Recherche Mathématique Avancée publish most on?

By volume in 2022–2025: Algebraic Geometry and Number Theory, Advanced Algebra and Geometry, Algebraic structures and combinatorial models and Homotopy and Cohomology in Algebraic Topology.

Algebraic Geometry and N…6Algebraic Geometry and Number Theory: 6 fractional worksAdvanced Algebra and Geo…5Advanced Algebra and Geometry: 5 fractional worksAlgebraic structures and…5Algebraic structures and combinatorial models: 5 fractional worksHomotopy and Cohomology …4Homotopy and Cohomology in Algebraic Topology: 4 fractional worksGeometric and Algebraic Topology: 4 fractional worksAdvanced Differential Equations and Dynamical Systems: 3 fractional worksMathematical Dynamics an…3Mathematical Dynamics and Fractals: 3 fractional worksHistory and Theory of Ma…3History and Theory of Mathematics: 3 fractional worksStability and Controllab…2Stability and Controllability of Differential Equations: 2 fractional worksAdvanced Combinatorial M…2Advanced Combinatorial Mathematics: 2 fractional works
Geometry and TopologyMathematical PhysicsTheoretical Computer ScienceControl and Systems Engineering1 others

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

  1. 1 Algebraic Geometry and Number Theory Geometry and Topology 6 works
  2. 2 Advanced Algebra and Geometry Mathematical Physics 5 works
  3. 3 Algebraic structures and combinatorial models Geometry and Topology 5 works
  4. 4 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 4 works
  5. 5 Geometric and Algebraic Topology Geometry and Topology 4 works
  6. 6 Advanced Differential Equations and Dynamical Systems Geometry and Topology 3 works
  7. 7 Mathematical Dynamics and Fractals Mathematical Physics 3 works
  8. 8 History and Theory of Mathematics Theoretical Computer Science 3 works
  9. 9 Stability and Controllability of Differential Equations Control and Systems Engineering 2 works
  10. 10 Advanced Combinatorial Mathematics Discrete Mathematics and Combinatorics 2 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 available53.0%not open47.0%

World: 28% of research is openly available.

with international co-authors21.8%domestic only78.2%

World: 19% is written across borders.

How has Institut de Recherche Mathématique Avancée's research output changed?

Output in 2018–2022 was 0% 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 Strasbourg

All research institutions in Strasbourg

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.