Science Explorer Interactive view Map
Research facility · Vandœuvre-lès-Nancy · France

Institut Élie Cartan de Lorraine

In research, Institut Élie Cartan de Lorraine stands highest in Physical Sciences (#5,693 of 12,888 worldwide) and Mathematics (#684 of 1,053 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics and Mathematics — Mathematical Physics is 106.2× its share of world research.

iecl.univ-lorraine.frROR OpenAlex
World rank, 2022–2025
#10,316
of 28,054 · #11,243 all time
Rank in France
#375
of 1,422
Research works
1k
▼ 4% vs 2013–17
Citations
13k
12.5 per fractional work
Top-10% rate
7.8%
record average 16.5%
Open access
66%
world 28%

What is Institut Élie Cartan de Lorraine 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 #5,693 of 12,888 7.7%131 #6323
MathematicsField #684 of 1,053 9.3%80 #923

Each strip is that field’s whole ranked pool, with the notch where Institut Élie Cartan de Lorraine 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 Élie Cartan de Lorraine specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 106.2× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 26.4 works106×
  2. MathematicsField · 79.6 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: 0.12× its world share, 1 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.50× its world share, 4 worksBiochemistry, Geneti…Immunology and Microbiology: 0.15× its world share, 0 worksImmunology and Micro…Neuroscience: 0.14× its world share, 0 worksNeuroscienceChemical Engineering: 0.32× its world share, 0 worksChemical EngineeringChemistry: 0.13× its world share, 0 worksChemistryComputer Science: 1.80× its world share, 22 worksComputer ScienceEarth and Planetary Sciences: 0.50× its world share, 1 worksEarth and Planetary …Engineering: 0.73× its world share, 17 worksEngineeringEnvironmental Science: 0.16× its world share, 1 worksEnvironmental ScienceMaterials Science: 0.13× its world share, 1 worksMaterials ScienceMathematics: 43.09× its world share, 80 worksMathematicsPhysics and Astronomy: 2.42× its world share, 8 worksPhysics and AstronomyHealth Professions: 0.10× its world share, 0 worksHealth ProfessionsMedicine: 0.18× its world share, 5 worksMedicineArts and Humanities: 0.25× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.21× its world share, 1 worksBusiness, Management…Decision Sciences: 1.41× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 2.32× its world share, 8 worksEconomics, Econometr…Psychology: 0.20× its world share, 1 worksPsychologySocial Sciences: 0.08× its world share, 2 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 43.1×. Every wedge is a field page.

Who are the top researchers at Institut Élie Cartan de Lorraine?

Ranked on the composite score, Marius Tucsnak, Xavier Antoine and Antoine Henrot lead among researchers whose main affiliation is Institut Élie Cartan de Lorraine.

  1. 1 Marius Tucsnak France · #197,093 worldwide 176 citations · 37 works
  2. 2 Xavier Antoine France · #217,387 worldwide 231 citations · 58 works
  3. 3 Antoine Henrot France · #345,741 worldwide 98 citations · 44 works
  4. 4 Radu S. Stoica France · #456,548 worldwide 102 citations · 39 works
  5. 5 Jan Sokołowski France · #468,408 worldwide 224 citations · 103 works
  6. 6 Jean Rodolphe Roche France · #506,602 worldwide 53 citations · 20 works
  7. 7 Takéo Takahashi France · #670,678 worldwide 244 citations · 169 works
  8. 8 Jean-Louis Clerc France · #736,320 worldwide 72 citations · 25 works
  9. 9 Antoine Lejay France · #921,096 worldwide 71 citations · 39 works
  10. 10 Thomas Chambrion France · #1,039,036 worldwide 65 citations · 24 works
All ranked researchers at Institut Élie Cartan de Lorraine

Which keywords describe research at Institut Élie Cartan de Lorraine?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Modular Forms, Cohomology, L-Functions, Porous Media, Stability, Finite Element, Nonlinear Equations and Heterogeneous.

▲ 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. Modular Forms10▲ 163×3 topics
  2. Cohomology9▲ 132×2 topics
  3. L-Functions8▲ 183×2 topics
  4. Porous Media8▲ 37×5 topics
  5. Finite Element8▲ 109×2 topics
  6. Stability8▲ 21×3 topics
  7. Nonlinear Equations7▲ 36×5 topics
  8. Heterogeneous7▲ 117×1 topic
  9. Multiscale Methods7▲ 117×1 topic
  10. Nonlinear Schrödinger Equation7▲ 77×2 topics
  11. Global Existence7▲ 133×2 topics
  12. Controllability6▲ 91×2 topics
  13. Symplectic Geometry6▲ 106×2 topics
  14. Solitons6▲ 83×2 topics
  15. Monte Carlo Simulation6▲ 18×5 topics
  16. Feedback Control6▲ 22×3 topics
  17. Representation Theory6▲ 114×2 topics
  18. Viscoelasticity6▲ 56×3 topics
  19. Global Well-Posedness6▲ 167×1 topic
  20. Scattering6▲ 167×1 topic
  21. Random Matrix Theory5▲ 109×3 topics
  22. Automorphic Forms5▲ 178×1 topic
  23. Boundary Control5▲ 152×1 topic
  24. Distributed Parameter Systems5▲ 152×1 topic
  25. Langlands Conjectures5▲ 178×1 topic
  26. Quantum Groups5▲ 91×2 topics
  27. Number Theory5▲ 130×2 topics
  28. Option Pricing5▲ 123×1 topic
  29. Stochastic Calculus5▲ 123×1 topic
  30. Tropical Geometry4▲ 87×2 topics
  31. Inverse Problems4▲ 26×4 topics
  32. Gromov-Witten Theory4▲ 130×1 topic
  33. Moduli Theory4▲ 130×1 topic
  34. Deformations4▲ 100×1 topic
  35. Hom-Lie Algebras4▲ 100×1 topic
  36. Cluster Algebras4▲ 92×1 topic
  37. Triangulated Categories4▲ 92×1 topic
  38. Ergodic Theory4▲ 82×2 topics
  39. Boundary Value Problems4▲ 46×3 topics
  40. Numerical Methods4▲ 28×3 topics

Which research topics does Institut Élie Cartan de Lorraine publish most on?

By volume in 2022–2025: Advanced Mathematical Modeling in Engineering, Advanced Mathematical Physics Problems, Stability and Controllability of Differential Equations and Advanced Algebra and Geometry.

Advanced Mathematical Mo…7Advanced Mathematical Modeling in Engineering: 7 fractional worksAdvanced Mathematical Ph…6Advanced Mathematical Physics Problems: 6 fractional worksStability and Controllability of Differential Equations: 5 fractional worksAdvanced Algebra and Geo…5Advanced Algebra and Geometry: 5 fractional worksStochastic processes and…5Stochastic processes and financial applications: 5 fractional worksAlgebraic Geometry and Number Theory: 4 fractional worksAdvanced Topics in Algebra: 4 fractional worksAlgebraic structures and…4Algebraic structures and combinatorial models: 4 fractional worksStochastic processes and statistical mechanics: 4 fractional worksNonlinear Partial Differential Equations: 4 fractional works
Computational Theory and MathematicsMathematical PhysicsControl and Systems EngineeringFinance3 others

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

  1. 1 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 7 works
  2. 2 Advanced Mathematical Physics Problems Mathematical Physics 6 works
  3. 3 Stability and Controllability of Differential Equations Control and Systems Engineering 5 works
  4. 4 Advanced Algebra and Geometry Mathematical Physics 5 works
  5. 5 Stochastic processes and financial applications Finance 5 works
  6. 6 Algebraic Geometry and Number Theory Geometry and Topology 4 works
  7. 7 Advanced Topics in Algebra Algebra and Number Theory 4 works
  8. 8 Algebraic structures and combinatorial models Geometry and Topology 4 works
  9. 9 Stochastic processes and statistical mechanics Mathematical Physics 4 works
  10. 10 Nonlinear Partial Differential Equations Applied Mathematics 4 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 available66.4%not open33.6%

World: 28% of research is openly available.

with international co-authors34.4%domestic only65.6%

World: 19% is written across borders.

How has Institut Élie Cartan de Lorraine's research output changed?

Output in 2018–2022 was 4% 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 Vandœuvre-lès-Nancy

All research institutions in Vandœuvre-lès-Nancy

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.