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Fields Institute for Research in Mathematical Sciences

In research, Fields Institute for Research in Mathematical Sciences stands highest in Physical Sciences (#9,008 of 21,541 worldwide) and Mathematics (#1,321 of 2,255 worldwide), over all time. Relative to its size it is most specialised in Mathematics — Mathematics is 32.8× its share of world research.

fields.utoronto.caROR OpenAlex
World rank, all time
#14,951
of 42,892
Rank in Canada
#322
of 896
Research works
438
▼ 26% vs 2013–17
Citations
6.9k
15.8 per fractional work
Top-10% rate
22.8%
record average 16.5%
Open access
47%
world 28%

What is Fields Institute for Research in Mathematical Sciences 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 #9,008 of 21,541 19.2%322
MathematicsField #1,321 of 2,255 16.9%189

Each strip is that field’s whole ranked pool, with the notch where Fields Institute for Research in 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).

What does Fields Institute for Research in Mathematical Sciences specialise in?

Where its research is concentrated relative to its size: Mathematics takes 32.8× the share of its output that it takes of world research.

  1. MathematicsField · 21.3 works33×
← 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: 0.03× its world share, 0 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.30× its world share, 1 worksBiochemistry, Geneti…Neuroscience: 0.79× its world share, 1 worksNeuroscienceChemistry: 0.39× its world share, 0 worksChemistryComputer Science: 0.89× its world share, 4 worksComputer ScienceEarth and Planetary Sciences: 0.19× its world share, 0 worksEarth and Planetary …Energy: 0.99× its world share, 0 worksEnergyEngineering: 0.66× its world share, 5 worksEngineeringEnvironmental Science: 1.33× its world share, 4 worksEnvironmental ScienceMaterials Science: 0.22× its world share, 0 worksMaterials ScienceMathematics: 32.83× its world share, 21 worksMathematicsPhysics and Astronomy: 4.42× its world share, 5 worksPhysics and AstronomyHealth Professions: 1.91× its world share, 3 worksHealth ProfessionsMedicine: 0.26× its world share, 3 worksMedicineArts and Humanities: 0.94× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.25× its world share, 0 worksBusiness, Management…Decision Sciences: 0.89× its world share, 0 worksDecision SciencesEconomics, Econometrics and Finance: 0.46× its world share, 0 worksEconomics, Econometr…Psychology: 0.12× its world share, 0 worksPsychologySocial Sciences: 0.53× 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, 32.8×. Every wedge is a field page.

Who are the top researchers at Fields Institute for Research in Mathematical Sciences?

Ranked on the composite score, Dan Rosen, Quintin Wight and Ali Feizmohammadi lead among researchers whose main affiliation is Fields Institute for Research in Mathematical Sciences.

  1. 1 Dan Rosen Canada · #612,539 worldwide 70 citations · 17 works
  2. 2 Quintin Wight Canada · #641,091 worldwide 5 citations · 25 works
  3. 3 Ali Feizmohammadi Canada · #998,664 worldwide 68 citations · 18 works
  4. 4 Igor Nikolaev Canada · #1,467,850 worldwide 4 citations · 42 works
  5. 5 Tatiana Hessami Pilehrood Canada · #1,518,907 worldwide 17 citations · 20 works
All ranked researchers at Fields Institute for Research in Mathematical Sciences

Which keywords describe research at Fields Institute for Research in Mathematical Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Optimal Transport, Ricci Curvature, Cohomology, General Relativity, Stability, Kähler Metrics, Scalar Curvature 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 2022–2025 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. Sustainability3▲ 2.2×6 topics
  2. Optimal Transport3▲ 229×1 topic
  3. Ricci Curvature3▲ 229×1 topic
  4. Cohomology2▲ 107×2 topics
  5. General Relativity2▲ 60×2 topics
  6. Stability2▲ 16×2 topics
  7. Kähler Metrics2▲ 265×1 topic
  8. Scalar Curvature2▲ 265×1 topic
  9. Modular Forms2▲ 86×3 topics
  10. Finsler Geometry2▲ 248×1 topic
  11. Quantum Groups2▲ 87×2 topics
  12. Recycling2▲ 7.9×2 topics
  13. Riemannian Manifolds2▲ 248×1 topic
  14. Waste Management2▲ 7.4×2 topics
  15. Deformations2▲ 117×1 topic
  16. Hom-Lie Algebras2▲ 117×1 topic
  17. Representation Theory2▲ 95×2 topics
  18. Health Equity2▲ 10×4 topics
  19. L-Functions2▲ 94×2 topics
  20. Tropical Geometry2▲ 86×2 topics
  21. Risk Perception1▲ 9.3×2 topics
  22. Nonlinear Equations1▲ 18×4 topics
  23. Policy1▲ 11×2 topics
  24. Porous Media1▲ 18×3 topics
  25. Community Health1▲ 13×2 topics
  26. E-Waste1▲ 23×1 topic
  27. Environmental Impacts1▲ 7.8×1 topic
  28. Gromov-Witten Theory1▲ 109×1 topic
  29. Model Theory1▲ 232×1 topic
  30. Moduli Theory1▲ 109×1 topic
  31. Nexus1▲ 66×1 topic
  32. Quantum Gravity1▲ 26×4 topics
  33. Topological Dynamics1▲ 232×1 topic
  34. Water1▲ 38×1 topic
  35. COVID-19 Vaccine1▲ 29×1 topic
  36. Ergodic Theory1▲ 66×2 topics
  37. Inverse Problems1▲ 18×3 topics
  38. Vaccine Hesitancy1▲ 31×1 topic
  39. Advocacy1▲ 62×1 topic
  40. Chronic Disease Management1▲ 9.5×2 topics

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

By volume in 2022–2025: Geometric Analysis and Curvature Flows, Geometry and complex manifolds, Advanced Differential Geometry Research and Advanced Topics in Algebra.

Geometric Analysis and C…3Geometric Analysis and Curvature Flows: 3 fractional worksGeometry and complex man…2Geometry and complex manifolds: 2 fractional worksAdvanced Differential Ge…2Advanced Differential Geometry Research: 2 fractional worksAdvanced Topics in Algebra2Advanced Topics in Algebra: 2 fractional worksRecycling and Waste Management Techniques: 1 fractional worksWater-Energy-Food Nexus Studies: 1 fractional worksAlgebraic Geometry and N…1Algebraic Geometry and Number Theory: 1 fractional worksAdvanced Topology and Set Theory: 1 fractional worksVaccine Coverage and Hesitancy: 1 fractional worksAdvanced Operator Algebr…1Advanced Operator Algebra Research: 1 fractional works
Applied MathematicsGeometry and TopologyAstronomy and AstrophysicsAlgebra and Number Theory4 others

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

  1. 1 Geometric Analysis and Curvature Flows Applied Mathematics 3 works
  2. 2 Geometry and complex manifolds Geometry and Topology 2 works
  3. 3 Advanced Differential Geometry Research Astronomy and Astrophysics 2 works
  4. 4 Advanced Topics in Algebra Algebra and Number Theory 2 works
  5. 5 Recycling and Waste Management Techniques Industrial and Manufacturing Engineering 1 works
  6. 6 Water-Energy-Food Nexus Studies Water Science and Technology 1 works
  7. 7 Algebraic Geometry and Number Theory Geometry and Topology 1 works
  8. 8 Advanced Topology and Set Theory Geometry and Topology 1 works
  9. 9 Vaccine Coverage and Hesitancy Health 1 works
  10. 10 Advanced Operator Algebra Research Mathematical Physics 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 available47.4%not open52.6%

World: 28% of research is openly available.

with international co-authors32.3%domestic only67.7%

World: 19% is written across borders.

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

Output in 2018–2022 was 26% 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 Toronto

All research institutions in Toronto

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.