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Research facility · Lyon · France

Unité de Mathématiques Pures et Appliquées

In research, Unité de Mathématiques Pures et Appliquées stands highest in Physical Sciences (#9,155 of 12,888 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematics — Mathematics is 37.5× its share of world research.

umpa.ens-lyon.frROR OpenAlex
World rank, 2022–2025
#17,762
of 28,054 · #13,170 all time
Rank in France
#812
of 1,422
Research works
512
▲ 8% vs 2013–17
Citations
10k
19.8 per fractional work
Top-10% rate
12.0%
record average 16.5%
Open access
70%
world 28%

What is Unité de Mathématiques Pures et Appliquées 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 #9,155 of 12,888 11.5%82 #7836

Each strip is that field’s whole ranked pool, with the notch where Unité de Mathématiques Pures et Appliquées 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 Unité de Mathématiques Pures et Appliquées specialise in?

Where its research is concentrated relative to its size: Mathematics takes 37.5× the share of its output that it takes of world research.

  1. MathematicsField · 48.3 works38×
← 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: 0.32× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.17× its world share, 1 worksBiochemistry, Geneti…Immunology and Microbiology: 0.73× its world share, 1 worksImmunology and Micro…Neuroscience: 0.02× its world share, 0 worksNeuroscienceChemical Engineering: 2.24× its world share, 1 worksChemical EngineeringChemistry: 0.18× its world share, 0 worksChemistryComputer Science: 1.27× its world share, 11 worksComputer ScienceEarth and Planetary Sciences: 0.14× its world share, 0 worksEarth and Planetary …Energy: 0.08× its world share, 0 worksEnergyEngineering: 0.43× its world share, 7 worksEngineeringEnvironmental Science: 0.21× its world share, 1 worksEnvironmental ScienceMaterials Science: 0.18× its world share, 1 worksMaterials ScienceMathematics: 37.52× its world share, 48 worksMathematicsPhysics and Astronomy: 5.15× its world share, 13 worksPhysics and AstronomyDentistry: 0.13× its world share, 0 worksDentistryHealth Professions: 0.98× its world share, 3 worksHealth ProfessionsMedicine: 0.10× its world share, 2 worksMedicineArts and Humanities: 1.31× its world share, 4 worksArts and HumanitiesBusiness, Management and Accounting: 0.34× its world share, 1 worksBusiness, Management…Decision Sciences: 1.13× its world share, 1 worksDecision SciencesEconomics, Econometrics and Finance: 2.25× its world share, 5 worksEconomics, Econometr…Psychology: 0.35× its world share, 1 worksPsychologySocial Sciences: 0.42× its world share, 6 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 37.5×. Every wedge is a field page.

Who are the top researchers at Unité de Mathématiques Pures et Appliquées?

Ranked on the composite score, Aurélien Garivier, Damien Gaboriau and Laurent Berger lead among researchers whose main affiliation is Unité de Mathématiques Pures et Appliquées.

  1. 1 Aurélien Garivier France · #76,718 worldwide 355 citations · 37 works
  2. 2 Damien Gaboriau France · #306,559 worldwide 144 citations · 17 works
  3. 3 Laurent Berger France · #633,649 worldwide 19 citations · 46 works
  4. 4 Julien Vovelle France · #987,220 worldwide 55 citations · 22 works
  5. 5 Cédric Bernardin France · #1,282,125 worldwide 49 citations · 26 works
  6. 6 Vincent Beffara France · #1,311,191 worldwide 24 citations · 15 works
  7. 7 Alexey Glutsyuk France · #1,416,833 worldwide 31 citations · 26 works
  8. 8 Sébastien Martineau France · #1,493,192 worldwide 2 citations · 17 works
  9. 9 Abdelghani Zeghib France · #1,496,316 worldwide 34 citations · 22 works
  10. 10 Adrien Le Boudec France · #1,527,126 worldwide 11 citations · 16 works
All ranked researchers at Unité de Mathématiques Pures et Appliquées

Which keywords describe research at Unité de Mathématiques Pures et Appliquées?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Symplectic Geometry, Representation Theory, Cohomology, Modular Forms, Tropical Geometry, K-Theory, L-Functions and Automorphic Forms.

▲ 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 Geometry6▲ 158×2 topics
  2. Representation Theory5▲ 153×2 topics
  3. Cohomology5▲ 108×2 topics
  4. Modular Forms5▲ 115×3 topics
  5. Tropical Geometry4▲ 129×2 topics
  6. K-Theory4▲ 162×2 topics
  7. Automorphic Forms4▲ 220×1 topic
  8. L-Functions4▲ 138×2 topics
  9. Langlands Conjectures4▲ 220×1 topic
  10. Gromov-Witten Theory4▲ 191×1 topic
  11. Moduli Theory4▲ 191×1 topic
  12. Nonlinear Schrödinger Equation4▲ 62×2 topics
  13. Quantum Groups4▲ 97×2 topics
  14. Solitons4▲ 74×2 topics
  15. Stability4▲ 15×2 topics
  16. Global Well-Posedness3▲ 127×1 topic
  17. Scattering3▲ 127×1 topic
  18. Dynamical Systems3▲ 37×2 topics
  19. Eigenvalues3▲ 102×2 topics
  20. Nonlinear Equations3▲ 18×4 topics
  21. Random Matrix Theory3▲ 77×3 topics
  22. Universality3▲ 120×2 topics
  23. Ergodic Theory2▲ 78×2 topics
  24. Global Existence2▲ 73×2 topics
  25. Viscoelasticity2▲ 36×3 topics
  26. Knot Invariants2▲ 145×1 topic
  27. Optimal Transport2▲ 103×1 topic
  28. Ricci Curvature2▲ 103×1 topic
  29. Symplectic Topology2▲ 145×1 topic
  30. C*-Algebras2▲ 249×1 topic
  31. Covariance Matrices2▲ 312×1 topic
  32. Noncommutative Geometry2▲ 249×1 topic
  33. Numerical Methods2▲ 25×3 topics
  34. Porous Media2▲ 16×2 topics
  35. Spectral Statistics2▲ 312×1 topic
  36. Inverse Problems2▲ 19×2 topics
  37. Combinatorics2▲ 156×1 topic
  38. Deformation Quantization2▲ 119×1 topic
  39. Permutations2▲ 156×1 topic
  40. Poisson Manifolds2▲ 119×1 topic

Which research topics does Unité de Mathématiques Pures et Appliquées publish most on?

By volume in 2022–2025: Advanced Algebra and Geometry, Algebraic Geometry and Number Theory, Advanced Mathematical Physics Problems and Geometric and Algebraic Topology.

Advanced Algebra and Geometry: 4 fractional worksAlgebraic Geometry and Number Theory: 4 fractional worksAdvanced Mathematical Physics Problems: 3 fractional worksGeometric and Algebraic Topology: 2 fractional worksGeometric Analysis and Curvature Flows: 2 fractional worksRandom Matrices and Applications: 2 fractional worksAdvanced Operator Algebr…2Advanced Operator Algebra Research: 2 fractional worksAdvanced Combinatorial Mathematics: 2 fractional worksHomotopy and Cohomology in Algebraic Topology: 2 fractional worksGeometry and complex man…2Geometry and complex manifolds: 2 fractional works
Mathematical PhysicsGeometry and TopologyApplied MathematicsStatistics and Probability1 others

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

  1. 1 Advanced Algebra and Geometry Mathematical Physics 4 works
  2. 2 Algebraic Geometry and Number Theory Geometry and Topology 4 works
  3. 3 Advanced Mathematical Physics Problems Mathematical Physics 3 works
  4. 4 Geometric and Algebraic Topology Geometry and Topology 2 works
  5. 5 Geometric Analysis and Curvature Flows Applied Mathematics 2 works
  6. 6 Random Matrices and Applications Statistics and Probability 2 works
  7. 7 Advanced Operator Algebra Research Mathematical Physics 2 works
  8. 8 Advanced Combinatorial Mathematics Discrete Mathematics and Combinatorics 2 works
  9. 9 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 2 works
  10. 10 Geometry and complex manifolds Geometry and Topology 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 available70.1%not open29.9%

World: 28% of research is openly available.

with international co-authors19.8%domestic only80.2%

World: 19% is written across borders.

How has Unité de Mathématiques Pures et Appliquées's research output changed?

Output in 2018–2022 was 8% 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 Lyon

All research institutions in Lyon

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.