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Research facility · Edinburgh · United Kingdom

Maxwell Institute for Mathematical Sciences

In research, Maxwell Institute for Mathematical Sciences stands highest in Physical Sciences (#3,807 of 12,888 worldwide), Mathematics (#535 of 1,053 worldwide) and Physics and Astronomy (#1,553 of 1,646 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Statistical and Nonlinear Physics and Mathematics — Mathematical Physics is 53.5× its share of world research.

maxwell.ac.ukROR OpenAlex
World rank, 2022–2025
#6,030
of 28,054 · #5,601 all time
Rank in United Kingdom
#233
of 1,094
Research works
1.1k
◆ 1% vs 2013–17
Citations
22k
21.0 per fractional work
Top-10% rate
21.0%
record average 16.5%
Open access
72%
world 28%

What is Maxwell Institute for Mathematical Sciences 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 #3,807 of 12,888 21.0%222 #3755
MathematicsField #535 of 1,053 17.9%73 #515
Physics and AstronomyField #1,553 of 1,646 36.6%61 #2729

Each strip is that field’s whole ranked pool, with the notch where Maxwell Institute for Mathematical Sciences 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#3,755 #3,807
  2. Mathematics#515 #535
  3. Physics and Astronomy#2,729 #1,553
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 Maxwell Institute for Mathematical Sciences specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 53.5× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 23.5 works54×
  2. Statistical and Nonlinear PhysicsSubfield · 20.4 works23×
  3. MathematicsField · 72.8 works22×
← 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: 0.14× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.82× its world share, 12 worksBiochemistry, Geneti…Immunology and Microbiology: 0.43× its world share, 1 worksImmunology and Micro…Neuroscience: 0.55× its world share, 2 worksNeuroscienceChemical Engineering: 0.91× its world share, 1 worksChemical EngineeringChemistry: 0.24× its world share, 1 worksChemistryComputer Science: 1.58× its world share, 34 worksComputer ScienceEarth and Planetary Sciences: 1.84× its world share, 8 worksEarth and Planetary …Energy: 0.33× its world share, 1 worksEnergyEngineering: 0.76× its world share, 32 worksEngineeringEnvironmental Science: 0.61× its world share, 8 worksEnvironmental ScienceMaterials Science: 0.30× its world share, 3 worksMaterials ScienceMathematics: 22.36× its world share, 73 worksMathematicsPhysics and Astronomy: 9.91× its world share, 61 worksPhysics and AstronomyDentistry: 0.37× its world share, 0 worksDentistryHealth Professions: 0.30× its world share, 2 worksHealth ProfessionsMedicine: 0.23× its world share, 12 worksMedicineArts and Humanities: 0.06× its world share, 0 worksArts and HumanitiesBusiness, Management and Accounting: 0.20× its world share, 2 worksBusiness, Management…Decision Sciences: 2.53× its world share, 7 worksDecision SciencesEconomics, Econometrics and Finance: 1.46× its world share, 9 worksEconomics, Econometr…Psychology: 0.09× its world share, 1 worksPsychologySocial Sciences: 0.13× its world share, 4 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 22.4×. Every wedge is a field page.

Who are the top researchers at Maxwell Institute for Mathematical Sciences?

Ranked on the composite score, Joan Simón and Oana Pocovnicu lead among researchers whose main affiliation is Maxwell Institute for Mathematical Sciences.

  1. 1 Joan Simón United Kingdom · #419,206 worldwide 107 citations · 23 works
  2. 2 Oana Pocovnicu United Kingdom · #822,971 worldwide 69 citations · 16 works
All ranked researchers at Maxwell Institute for Mathematical Sciences

Which keywords describe research at Maxwell Institute for Mathematical Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Quantum Gravity, String Theory, Black Holes, Field Theories, Holographic, Nonlinear Schrödinger Equation, Nonlinear Equations and Quantum Groups.

▲ 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. Quantum Gravity18▲ 82×4 topics
  2. String Theory14▲ 91×2 topics
  3. Black Holes14▲ 54×3 topics
  4. Field Theories13▲ 103×1 topic
  5. Holographic13▲ 103×1 topic
  6. Deep Learning13▲ 1.33×26 topics
  7. Nonlinear Schrödinger Equation10▲ 66×2 topics
  8. Nonlinear Equations9▲ 25×5 topics
  9. Quantum Groups9▲ 90×2 topics
  10. General Relativity8▲ 44×2 topics
  11. Monte Carlo Simulation8▲ 14×4 topics
  12. Supernovae7▲ 32×2 topics
  13. Cohomology7▲ 60×2 topics
  14. K-Theory7▲ 104×2 topics
  15. Cosmic Microwave Background7▲ 45×1 topic
  16. Cosmological Parameters7▲ 45×1 topic
  17. Dark Energy7▲ 39×2 topics
  18. Symplectic Geometry7▲ 69×2 topics
  19. Inverse Problems6▲ 21×4 topics
  20. Solitons6▲ 48×2 topics
  21. Cluster Algebras6▲ 78×1 topic
  22. Triangulated Categories6▲ 78×1 topic
  23. Rogue Waves6▲ 36×2 topics
  24. Stochastic Differential Equations6▲ 31×2 topics
  25. Infectious Diseases6▲ 6.1×4 topics
  26. Global Well-Posedness5▲ 90×1 topic
  27. Scattering5▲ 90×1 topic
  28. Integrable Equations5▲ 51×1 topic
  29. Soliton Solutions5▲ 51×1 topic
  30. Model Selection5▲ 21×4 topics
  31. Bayesian Inference5▲ 18×4 topics
  32. Large-Eddy Simulation5▲ 8.9×4 topics
  33. Deformations4▲ 65×1 topic
  34. Hom-Lie Algebras4▲ 65×1 topic
  35. Lorentz Violation4▲ 108×1 topic
  36. Noncommutative Field Theory4▲ 108×1 topic
  37. Partial Differential Equations4▲ 29×2 topics
  38. Sensitivity Analysis4▲ 16×3 topics
  39. Deformation Quantization4▲ 91×1 topic
  40. Poisson Manifolds4▲ 91×1 topic

Which research topics does Maxwell Institute for Mathematical Sciences publish most on?

By volume in 2022–2025: Black Holes and Theoretical Physics, Cosmology and Gravitation Theories, Algebraic structures and combinatorial models and Advanced Mathematical Physics Problems.

Black Holes and Theoreti…13Black Holes and Theoretical Physics: 13 fractional worksCosmology and Gravitation Theories: 7 fractional worksAlgebraic structures and combinatorial models: 6 fractional worksAdvanced Mathematical Physics Problems: 5 fractional worksNonlinear Waves and Solitons: 5 fractional worksAdvanced Topics in Algebra: 4 fractional worksNoncommutative and Quant…4Noncommutative and Quantum Gravity Theories: 4 fractional worksHomotopy and Cohomology …4Homotopy and Cohomology in Algebraic Topology: 4 fractional worksFluid Dynamics and Turbu…4Fluid Dynamics and Turbulent Flows: 4 fractional worksAdvanced Mathematical Mo…4Advanced Mathematical Modeling in Engineering: 4 fractional works
Nuclear and High Energy PhysicsAstronomy and AstrophysicsGeometry and TopologyMathematical Physics4 others

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

  1. 1 Black Holes and Theoretical Physics Nuclear and High Energy Physics 13 works
  2. 2 Cosmology and Gravitation Theories Astronomy and Astrophysics 7 works
  3. 3 Algebraic structures and combinatorial models Geometry and Topology 6 works
  4. 4 Advanced Mathematical Physics Problems Mathematical Physics 5 works
  5. 5 Nonlinear Waves and Solitons Statistical and Nonlinear Physics 5 works
  6. 6 Advanced Topics in Algebra Algebra and Number Theory 4 works
  7. 7 Noncommutative and Quantum Gravity Theories Statistical and Nonlinear Physics 4 works
  8. 8 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 4 works
  9. 9 Fluid Dynamics and Turbulent Flows Computational Mechanics 4 works
  10. 10 Advanced Mathematical Modeling in Engineering Computational Theory and 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 available71.8%not open28.2%

World: 28% of research is openly available.

with international co-authors40.8%domestic only59.2%

World: 19% is written across borders.

How has Maxwell Institute for Mathematical Sciences's research output changed?

Output in 2018–2022 was 1% 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 Edinburgh

All research institutions in Edinburgh

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.