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Nonprofit · Berkeley · United States

Mathematical Sciences Research Institute

In research, Mathematical Sciences Research Institute stands highest in Physical Sciences (#2,506 of 10,670 worldwide), 2022-now. Relative to its size it is most specialised in Geometry and Topology and Mathematics (Geometry and Topology is 78.6× its share of world research).

msri.org/web/msriROR OpenAlex
World rank, 2022-now
#8,896
of 22,385 · #3,105 all time
Rank in United States
#1,202
of 3,332
Research works
2.6k
▲ 35% vs 2018-21
Citations
104k
40.5 per fractional work
Top-10% rate
11.6%
all institutions 10.0%
vs its own fields
1.09×
1.00× is exactly expected
Open access
30%
world 40%
International
27%
world 18%
Mathematical Sciences Research Institute

What is Mathematical Sciences Research Institute known for in research?

The fields where it stands highest, 2022-now, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
Physical SciencesDomain #2,506 of 10,670 12.7%113 #1609

Each strip is that field's whole ranked pool, with the notch where Mathematical Sciences Research Institute 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 average mark, because the average differs by field (from about 6% in Dentistry to 21% in Economics).

Which fields of science does Mathematical Sciences Research Institute work in?

In 2022-now, 82% of research at Mathematical Sciences Research Institute is in Physical Sciences, 8% in Social Sciences. Its largest fields are Mathematics (37%), Physics and Astronomy (18%), Computer Science (16%). It does 2.1× the world's share of Physical Sciences.

Physical Sciences: 137 fractional works · 82.4% of its workMathematics: 61 fractional works · 36.9% of its workGeometry and Topology: 21 fractional works · 12.8% of its workApplied Mathematics: 13 fractional works · 7.8% of its workMathematical Physics: 13 fractional works · 7.8% of its workAlgebra and Number Theory: 6 fractional works · 3.9% of its workDiscrete Mathematics and Combinatorics: 3 fractional works · 2.1% of its workStatistics and Probability: 3 fractional works · 1.8% of its workModeling and Simulation: 1 fractional works · 0.4% of its workNumerical Analysis: 1 fractional works · 0.4% of its workPhysics and Astronomy: 30 fractional works · 17.8% of its workStatistical and Nonlinear Physics: 9 fractional works · 5.2% of its workNuclear and High Energy Physics: 8 fractional works · 5.0% of its workAtomic and Molecular Physics, and Optics: 5 fractional works · 3.1% of its workAstronomy and Astrophysics: 5 fractional works · 3.0% of its workCondensed Matter Physics: 2 fractional works · 1.3% of its workSmaller subfields together: 0 fractional works · 0.2% of its workComputer Science: 26 fractional works · 15.9% of its workComputational Theory and Mathematics: 10 fractional works · 6.1% of its workArtificial Intelligence: 8 fractional works · 5.0% of its workComputer Vision and Pattern Recognition: 4 fractional works · 2.3% of its workComputer Networks and Communications: 2 fractional works · 1.4% of its workInformation Systems: 1 fractional works · 0.6% of its workComputer Graphics and Computer-Aided Design: 0 fractional works · 0.2% of its workHuman-Computer Interaction: 0 fractional works · 0.2% of its workEngineering: 17 fractional works · 10.3% of its workElectrical and Electronic Engineering: 3 fractional works · 1.8% of its workAerospace Engineering: 3 fractional works · 1.7% of its workBiomedical Engineering: 3 fractional works · 1.6% of its workComputational Mechanics: 3 fractional works · 1.6% of its workIndustrial and Manufacturing Engineering: 2 fractional works · 1.0% of its workMechanical Engineering: 1 fractional works · 0.7% of its workControl and Systems Engineering: 1 fractional works · 0.4% of its workOcean Engineering: 1 fractional works · 0.4% of its workMechanics of Materials: 1 fractional works · 0.3% of its workMedia Technology: 0 fractional works · 0.3% of its workCivil and Structural Engineering: 0 fractional works · 0.2% of its workSmaller subfields together: 0 fractional works · 0.1% of its workMaterials Science: 1 fractional works · 0.7% of its workMaterials Chemistry: 1 fractional works · 0.3% of its workElectronic, Optical and Magnetic Materials: 0 fractional works · 0.2% of its workSmaller subfields together: 0 fractional works · 0.1% of its workEnvironmental Science: 1 fractional works · 0.4% of its workEarth and Planetary Sciences: 0 fractional works · 0.3% of its workChemistry: 0 fractional works · 0.2% of its workSocial Sciences: 13 fractional works · 7.9% of its workSocial Sciences: 5 fractional works · 2.9% of its workSociology and Political Science: 2 fractional works · 1.0% of its workUrban Studies: 1 fractional works · 0.5% of its workEducation: 1 fractional works · 0.4% of its workTransportation: 1 fractional works · 0.3% of its workPolitical Science and International Relations: 0 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.5% of its workDecision Sciences: 4 fractional works · 2.3% of its workManagement Science and Operations Research: 3 fractional works · 1.6% of its workStatistics, Probability and Uncertainty: 1 fractional works · 0.5% of its workInformation Systems and Management: 0 fractional works · 0.2% of its workEconomics, Econometrics and Finance: 2 fractional works · 1.0% of its workEconomics and Econometrics: 1 fractional works · 0.5% of its workFinance: 1 fractional works · 0.5% of its workArts and Humanities: 1 fractional works · 0.8% of its workHistory: 1 fractional works · 0.3% of its workLanguage and Linguistics: 0 fractional works · 0.3% of its workSmaller subfields together: 0 fractional works · 0.1% of its workBusiness, Management and Accounting: 1 fractional works · 0.7% of its workManagement Information Systems: 1 fractional works · 0.3% of its workAccounting: 0 fractional works · 0.2% of its workSmaller subfields together: 0 fractional works · 0.2% of its workPsychology: 0 fractional works · 0.2% of its workHealth Sciences: 8 fractional works · 5.0% of its workMedicine: 7 fractional works · 4.3% of its workRadiology, Nuclear Medicine and Imaging: 2 fractional works · 1.0% of its workEpidemiology: 1 fractional works · 0.6% of its workPublic Health, Environmental and Occupational Health: 1 fractional works · 0.5% of its workNeurology: 1 fractional works · 0.3% of its workInfectious Diseases: 0 fractional works · 0.3% of its workDermatology: 0 fractional works · 0.3% of its workCardiology and Cardiovascular Medicine: 0 fractional works · 0.2% of its workImmunology and Allergy: 0 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.9% of its workHealth Professions: 1 fractional works · 0.6% of its workGeneral Health Professions: 1 fractional works · 0.5% of its workSmaller subfields together: 0 fractional works · 0.1% of its workNursing: 0 fractional works · 0.1% of its workLife Sciences: 8 fractional works · 4.7% of its workBiochemistry, Genetics and Molecular Biology: 4 fractional works · 2.7% of its workMolecular Biology: 2 fractional works · 1.2% of its workBiophysics: 1 fractional works · 0.6% of its workGenetics: 1 fractional works · 0.4% of its workCell Biology: 0 fractional works · 0.2% of its workBiotechnology: 0 fractional works · 0.2% of its workAgricultural and Biological Sciences: 2 fractional works · 0.9% of its workPlant Science: 1 fractional works · 0.4% of its workEcology, Evolution, Behavior and Systematics: 0 fractional works · 0.2% of its workSmaller subfields together: 1 fractional works · 0.3% of its workPharmacology, Toxicology and Pharmaceutics: 1 fractional works · 0.5% of its workPharmaceutical Science: 1 fractional works · 0.5% of its workSmaller subfields together: 0 fractional works · 0.1% of its workImmunology and Microbiology: 1 fractional works · 0.3% of its workNeuroscience: 0 fractional works · 0.2% of its workALL ITS WORKMathematicalSciences Researc…166fractional works, 2022-now
Life Sciences5%Physical Sciences82%Health Sciences5%Social Sciences8%

Each ring splits the one inside it: the four domains of science, their fields, their subfields. Size is fractional works in 2022-now. Every slice is a page; the interactive view zooms down to single topics and colours each by how much more of it this institution does than the world.

Its 4 domains and 22 fields, with their numbers
    1. Mathematics6136.9%
    2. Physics and Astronomy3017.8%
    3. Computer Science2615.9%
    4. Engineering1710.3%
    5. Materials Science10.7%
    6. Environmental Science10.4%
    7. Earth and Planetary Sciences00.3%
    8. Chemistry00.2%
    1. Social Sciences52.9%
    2. Decision Sciences42.3%
    3. Economics, Econometrics and Finance21.0%
    4. Arts and Humanities10.8%
    5. Business, Management and Accounting10.7%
    6. Psychology00.2%
    1. Medicine74.3%
    2. Health Professions10.6%
    3. Nursing00.1%
    1. Biochemistry, Genetics and Molecular Biology42.7%
    2. Agricultural and Biological Sciences20.9%
    3. Pharmacology, Toxicology and Pharmaceutics10.5%
    4. Immunology and Microbiology10.3%
    5. Neuroscience00.2%
All of science, and how each field's share has moved since 1950: the Science domain explorer

What does Mathematical Sciences Research Institute specialise in?

Where its research is concentrated relative to its size: Geometry and Topology takes 78.6× the share of its output that it takes of world research.

  1. Geometry and TopologySubfield · 21.2 works79×
  2. MathematicsField · 61.2 works31×
← 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: 0.20× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.50× its world share, 4 worksBiochemistry, Geneti…Immunology and Microbiology: 0.35× its world share, 1 worksImmunology and Micro…Neuroscience: 0.11× its world share, 0 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 1.49× its world share, 1 worksPharmacology, Toxico…Chemistry: 0.12× its world share, 0 worksChemistryComputer Science: 2.04× its world share, 26 worksComputer ScienceEarth and Planetary Sciences: 0.18× its world share, 0 worksEarth and Planetary …Engineering: 0.69× its world share, 17 worksEngineeringEnvironmental Science: 0.09× its world share, 1 worksEnvironmental ScienceMaterials Science: 0.19× its world share, 1 worksMaterials ScienceMathematics: 31.38× its world share, 61 worksMathematicsPhysics and Astronomy: 8.02× its world share, 30 worksPhysics and AstronomyHealth Professions: 0.23× its world share, 1 worksHealth ProfessionsMedicine: 0.22× its world share, 7 worksMedicineNursing: 0.21× its world share, 0 worksNursingArts and Humanities: 0.26× its world share, 1 worksArts and HumanitiesBusiness, Management and Accounting: 0.22× its world share, 1 worksBusiness, Management…Decision Sciences: 2.38× its world share, 4 worksDecision SciencesEconomics, Econometrics and Finance: 0.48× its world share, 2 worksEconomics, Econometr…Psychology: 0.07× its world share, 0 worksPsychologySocial Sciences: 0.23× its world share, 5 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 31.4×. Every wedge is a field page.

All 22 fields, with their numbers
  1. Mathematics31.38×61 works
  2. Physics and Astronomy8.02×30 works
  3. Decision Sciences2.38×4 works
  4. Computer Science2.04×26 works
  5. Pharmacology, Toxicology and Pharmaceutics1.49×1 works
  6. Engineering0.69×17 works
  7. Biochemistry, Genetics and Molecular Biology0.50×4 works
  8. Economics, Econometrics and Finance0.48×2 works
  9. Immunology and Microbiology0.35×1 works
  10. Arts and Humanities0.26×1 works
  11. Health Professions0.23×1 works
  12. Social Sciences0.23×5 works
  13. Medicine0.22×7 works
  14. Business, Management and Accounting0.22×1 works
  15. Nursing0.21×0 works
  16. Agricultural and Biological Sciences0.20×2 works
  17. Materials Science0.19×1 works
  18. Earth and Planetary Sciences0.18×0 works
  19. Chemistry0.12×0 works
  20. Neuroscience0.11×0 works
  21. Environmental Science0.09×1 works
  22. Psychology0.07×0 works

Who are the top researchers at Mathematical Sciences Research Institute?

Ranked on the quality score, Juven Wang, Ronald H. Hardin and Hélène Barcelo lead among researchers whose main affiliation is Mathematical Sciences Research Institute.

  1. 1 Juven Wang United States · #156,251 worldwide 2.4k citations · 99 works
  2. 2 Ronald H. Hardin United States · #1,166,652 worldwide 2.4k citations · 29 works
  3. 3 Hélène Barcelo United States · #1,825,493 worldwide 1.4k citations · 70 works
  4. 4 Robert Mignone United States · #3,293,306 worldwide 384 citations · 20 works
  5. 5 Hongsoo Kim United States · #3,559,867 worldwide 3 citations · 17 works
  6. 6 Puskar Mondal United States · #4,076,495 worldwide 146 citations · 51 works
  7. 7 Nico F. Laubscher United States · #4,815,020 worldwide 192 citations · 21 works
  8. 8 Alejandro Poveda United States · #5,060,962 worldwide 47 citations · 36 works
  9. 9 Tsung-Ju Lee United States · #5,563,993 worldwide 44 citations · 32 works
  10. 10 Henri Rossat United States · #5,583,803 worldwide 7 citations · 18 works
All ranked researchers at Mathematical Sciences Research Institute

What are the most cited papers from Mathematical Sciences Research Institute?

The most cited paper from Mathematical Sciences Research Institute is "On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators" (Jonathan Eckstein, Dimitri P. Bertsekas, 1992), with 2,923 citations. Next come "Greedy Randomized Adaptive Search Procedures" (2,762) and "Solitons and Infinite Dimensional Lie Algebras" (1,476).

Most cited papers
#PaperReleasedCitations
1 On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming Open access Apr 1992 2,923
2 Greedy Randomized Adaptive Search Procedures Thomas A. Feo, Maurício G. C. Resende · Journal of Global Optimization Mar 1995 2,762
3 Solitons and Infinite Dimensional Lie Algebras Michio Jimbo, Tetsuji Miwa · Publications of the Research Institute for Mathematical Sciences Open access 31 Dec 1983 1,476
4 The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes A. Roger Hammons, P. Vijay Kumar, A.R. Calderbank et al. · IEEE Transactions on Information Theory Mar 1994 1,430
5 Exploring the sensitivity of next generation gravitational wave detectors B. P. Abbott et al. · Classical and Quantum Gravity Open access722 authors 24 Jan 2017 1,243
All 60 most cited papers, with filters and sorting

Which keywords describe research at Mathematical Sciences Research Institute?

By fractional works in 2022-now, weighted toward what it does more of than the world: Quantum Gravity, Symplectic Geometry, Tropical Geometry, String Theory, Black Holes, Field Theories, Holographic and Modular 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-now 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 Gravity9▲ 64×4 topics
  2. Symplectic Geometry8▲ 135×2 topics
  3. Tropical Geometry7▲ 133×2 topics
  4. Black Holes7▲ 43×2 topics
  5. String Theory7▲ 75×2 topics
  6. Field Theories6▲ 88×1 topic
  7. Holographic6▲ 88×1 topic
  8. Modular Forms6▲ 99×3 topics
  9. Gromov-Witten Theory5▲ 163×1 topic
  10. Moduli Theory5▲ 163×1 topic
  11. L-Functions5▲ 108×2 topics
  12. Nonlinear Equations5▲ 23×5 topics
  13. Quantum Groups5▲ 83×2 topics
  14. Cohomology5▲ 70×2 topics
  15. Representation Theory4▲ 88×2 topics
  16. Cluster Algebras4▲ 97×1 topic
  17. Triangulated Categories4▲ 97×1 topic
  18. Stability4▲ 10×4 topics
  19. General Relativity4▲ 31×2 topics
  20. K-Theory4▲ 81×2 topics
  21. Automorphic Forms3▲ 124×1 topic
  22. Dynamical Systems3▲ 31×3 topics
  23. Langlands Conjectures3▲ 124×1 topic
  24. Inverse Problems3▲ 17×3 topics
  25. Random Matrix Theory3▲ 61×3 topics
  26. Dark Energy3▲ 29×2 topics
  27. Supernovae3▲ 23×2 topics
  28. Knot Invariants3▲ 118×1 topic
  29. Nonlinear Schrödinger Equation3▲ 34×2 topics
  30. Optimal Transport3▲ 86×1 topic
  31. Ricci Curvature3▲ 86×1 topic
  32. Symplectic Topology3▲ 118×1 topic
  33. Cosmic Microwave Background3▲ 32×1 topic
  34. Cosmological Parameters3▲ 32×1 topic
  35. Deformation Quantization3▲ 103×1 topic
  36. Poisson Manifolds3▲ 103×1 topic
  37. Kähler Metrics3▲ 130×1 topic
  38. Scalar Curvature3▲ 130×1 topic
  39. Number Theory3▲ 67×2 topics
  40. Cryptanalysis3▲ 19×3 topics

Which research topics does Mathematical Sciences Research Institute publish most on?

By volume in 2022-now: Black Holes and Theoretical Physics, Algebraic Geometry and Number Theory, Algebraic structures and combinatorial models and Advanced Algebra and Geometry.

Black Holes and Theoretical Physics: 6 fractional worksAlgebraic Geometry and Number Theory: 5 fractional worksAlgebraic structures and…4Algebraic structures and combinatorial models: 4 fractional worksAdvanced Algebra and Geo…3Advanced Algebra and Geometry: 3 fractional worksGeometric Analysis and Curvature Flows: 3 fractional worksGeometric and Algebraic Topology: 3 fractional worksCosmology and Gravitatio…3Cosmology and Gravitation Theories: 3 fractional worksHomotopy and Cohomology …3Homotopy and Cohomology in Algebraic Topology: 3 fractional worksGeometry and complex man…3Geometry and complex manifolds: 3 fractional worksNonlinear Partial Differ…2Nonlinear Partial Differential Equations: 2 fractional works
Nuclear and High Energy PhysicsGeometry and TopologyMathematical PhysicsApplied Mathematics1 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 6 works
  2. 2 Algebraic Geometry and Number Theory Geometry and Topology 5 works
  3. 3 Algebraic structures and combinatorial models Geometry and Topology 4 works
  4. 4 Advanced Algebra and Geometry Mathematical Physics 3 works
  5. 5 Geometric Analysis and Curvature Flows Applied Mathematics 3 works
  6. 6 Geometric and Algebraic Topology Geometry and Topology 3 works
  7. 7 Cosmology and Gravitation Theories Astronomy and Astrophysics 3 works
  8. 8 Homotopy and Cohomology in Algebraic Topology Mathematical Physics 3 works
  9. 9 Geometry and complex manifolds Geometry and Topology 3 works
  10. 10 Nonlinear Partial Differential Equations Applied Mathematics 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 available30.3%not open69.7%

World: 40% of research is openly available.

with international co-authors27.4%domestic only72.6%

World: 18% is written across borders.

How has Mathematical Sciences Research Institute's research output changed?

Output in 2022-2025 was 35% higher than in 2018-2021.

still counting1990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Mathematical Sciences Research Institute as a percentage of every work published that year, 0.00064% in 2024.

still counting0.020%0.040%Mathematical Sciences Research Institute0.00065% in 202519801990200020102020

Fractional works of Mathematical Sciences Research Institute over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year, against all institutions in the same year.

still counting10%20%30%all institutions10.0% in 2025Mathematical Sciences Research Institute7.3% in 2025200020102020

Of each year's output, the share that reached the world's 10% most cited for its field and year. Peak 22.1% in 2003.

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