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Research facility · Palaiseau · France

Centre de Mathématiques Laurent Schwartz

In research, Centre de Mathématiques Laurent Schwartz stands highest in Physical Sciences (#9,901 of 21,541 worldwide) and Mathematics (#1,391 of 2,255 worldwide), over all time. Relative to its size it is most specialised in Mathematics — Mathematics is 66.3× its share of world research.

cmls.ip-paris.frROR OpenAlex
World rank, all time
#18,108
of 42,892
Rank in France
#1,162
of 2,321
Research works
246
▼ 53% vs 2013–17
Citations
4.1k
16.8 per fractional work
Top-10% rate
15.0%
record average 16.5%
Open access
73%
world 28%

What is Centre de Mathématiques Laurent Schwartz known for in research?

The fields where it stands highest, over all time, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorks
Physical SciencesDomain #9,901 of 21,541 25.5%232
MathematicsField #1,391 of 2,255 25.2%176

Each strip is that field’s whole ranked pool, with the notch where Centre de Mathématiques Laurent Schwartz 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 Centre de Mathématiques Laurent Schwartz specialise in?

Where its research is concentrated relative to its size: Mathematics takes 66.3× the share of its output that it takes of world research.

  1. MathematicsField · 21.2 works66×
← 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.

Pharmacology, Toxicology and Pharmaceutics: 1.16× its world share, 0 worksPharmacology, Toxico…Computer Science: 0.58× its world share, 1 worksComputer ScienceEarth and Planetary Sciences: 0.39× its world share, 0 worksEarth and Planetary …Engineering: 0.21× its world share, 1 worksEngineeringMathematics: 66.26× its world share, 21 worksMathematicsPhysics and Astronomy: 2.69× its world share, 2 worksPhysics and AstronomyHealth Professions: 0.07× its world share, 0 worksHealth ProfessionsMedicine: 0.06× its world share, 0 worksMedicineEconomics, Econometrics and Finance: 1.43× its world share, 1 worksEconomics, Econometr…Psychology: 0.20× its world share, 0 worksPsychologySocial Sciences: 0.19× its world share, 1 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 66.3×. Every wedge is a field page.

Who are the top researchers at Centre de Mathématiques Laurent Schwartz?

Ranked on the composite score, Claude Sabbah, Thierry Paul and Diego Munguía Izquierdo lead among researchers whose main affiliation is Centre de Mathématiques Laurent Schwartz.

  1. 1 Claude Sabbah France · #881,571 worldwide 64 citations · 39 works
  2. 2 Thierry Paul France · #1,314,076 worldwide 34 citations · 38 works
  3. 3 Diego Munguía Izquierdo France · #1,513,978 worldwide 10 citations · 16 works
All ranked researchers at Centre de Mathématiques Laurent Schwartz

Which keywords describe research at Centre de Mathématiques Laurent Schwartz?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Cohomology, Symplectic Geometry, Tropical Geometry, Modular Forms, L-Functions, Representation Theory, Nonlinear Schrödinger Equation 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 33 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 33 words, with their numbers
  1. Cohomology3▲ 258×2 topics
  2. Symplectic Geometry3▲ 284×2 topics
  3. Modular Forms3▲ 257×3 topics
  4. Tropical Geometry3▲ 314×2 topics
  5. L-Functions2▲ 319×2 topics
  6. Representation Theory2▲ 289×2 topics
  7. Automorphic Forms2▲ 495×1 topic
  8. Gromov-Witten Theory2▲ 440×1 topic
  9. Langlands Conjectures2▲ 495×1 topic
  10. Moduli Theory2▲ 440×1 topic
  11. Nonlinear Schrödinger Equation2▲ 160×2 topics
  12. Solitons2▲ 188×2 topics
  13. Global Well-Posedness2▲ 378×1 topic
  14. Scattering2▲ 378×1 topic
  15. Numerical Methods2▲ 81×2 topics
  16. Stability2▲ 27×2 topics
  17. Global Existence2▲ 184×2 topics
  18. Kinetic Theory2▲ 129×2 topics
  19. Boltzmann Equation2▲ 259×1 topic
  20. Boundary Value Problems2▲ 112×2 topics
  21. Kähler Metrics2▲ 435×1 topic
  22. Nonlinear Equations2▲ 44×3 topics
  23. Rarefied Flows2▲ 259×1 topic
  24. Scalar Curvature2▲ 435×1 topic
  25. Compressible Flows1▲ 498×1 topic
  26. Navier-Stokes Equations1▲ 498×1 topic
  27. Dynamical Systems1▲ 70×2 topics
  28. Ergodic Theory1▲ 169×2 topics
  29. Chaos1▲ 59×2 topics
  30. Optimal Transport1▲ 186×1 topic
  31. Ricci Curvature1▲ 186×1 topic
  32. Fractals1▲ 209×1 topic
  33. Lyapunov Exponents1▲ 209×1 topic

Which research topics does Centre de Mathématiques Laurent Schwartz publish most on?

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

Advanced Algebra and Geometry: 2 fractional worksAlgebraic Geometry and Number Theory: 2 fractional worksAdvanced Mathematical Ph…2Advanced Mathematical Physics Problems: 2 fractional worksGeometry and complex man…2Geometry and complex manifolds: 2 fractional worksGas Dynamics and Kinetic Theory: 2 fractional worksNavier-Stokes equation solutions: 1 fractional worksGeometric Analysis and C…1Geometric Analysis and Curvature Flows: 1 fractional worksMathematical Dynamics and Fractals: 1 fractional worksNonlinear Partial Differential Equations: 1 fractional worksGeometric and Algebraic Topology: 1 fractional works
Mathematical PhysicsGeometry and TopologyApplied Mathematics

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

  1. 1 Advanced Algebra and Geometry Mathematical Physics 2 works
  2. 2 Algebraic Geometry and Number Theory Geometry and Topology 2 works
  3. 3 Advanced Mathematical Physics Problems Mathematical Physics 2 works
  4. 4 Geometry and complex manifolds Geometry and Topology 2 works
  5. 5 Gas Dynamics and Kinetic Theory Applied Mathematics 2 works
  6. 6 Navier-Stokes equation solutions Applied Mathematics 1 works
  7. 7 Geometric Analysis and Curvature Flows Applied Mathematics 1 works
  8. 8 Mathematical Dynamics and Fractals Mathematical Physics 1 works
  9. 9 Nonlinear Partial Differential Equations Applied Mathematics 1 works
  10. 10 Geometric and Algebraic Topology Geometry and Topology 1 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 available73.1%not open26.9%

World: 28% of research is openly available.

with international co-authors17.1%domestic only82.9%

World: 19% is written across borders.

How has Centre de Mathématiques Laurent Schwartz's research output changed?

Output in 2018–2022 was 53% 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 Palaiseau

All research institutions in Palaiseau

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.