Science Explorer Interactive view Map
University · New York · United States

Courant Institute of Mathematical Sciences

In research, Courant Institute of Mathematical Sciences stands highest in Physical Sciences (#1,852 of 12,888 worldwide), Computer Science (#2,191 of 4,667 worldwide) and Mathematics (#537 of 1,053 worldwide), 2022–2025. Relative to its size it is most specialised in Mathematical Physics, Applied Mathematics and Mathematics — Mathematical Physics is 34.9× its share of world research.

cims.nyu.eduROR OpenAlex
World rank, 2022–2025
#3,041
of 28,054 · #913 all time
Rank in United States
#436
of 4,192
Research works
5.8k
▼ 15% vs 2013–17
Citations
354k
60.9 per fractional work
Top-10% rate
23.8%
record average 16.5%
Open access
35%
world 28%

What is Courant Institute of 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 #1,852 of 12,888 24.0%368 #632
Computer ScienceField #2,191 of 4,667 21.8%74 #147
MathematicsField #537 of 1,053 25.7%106 #90
EngineeringField #4,073 of 6,636 23.8%68 #1196
Physics and AstronomyField #1,076 of 1,646 26.1%61 #644

Each strip is that field’s whole ranked pool, with the notch where Courant Institute of 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#632 #1,852
  2. Computer Science#147 #2,191
  3. Mathematics#90 #537
  4. Engineering#1,196 #4,073
  5. Physics and Astronomy#644 #1,076
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 Courant Institute of Mathematical Sciences specialise in?

Where its research is concentrated relative to its size: Mathematical Physics takes 34.9× the share of its output that it takes of world research.

  1. Mathematical PhysicsSubfield · 26.1 works35×
  2. Applied MathematicsSubfield · 31.2 works23×
  3. MathematicsField · 106.3 works19×
  4. Statistical and Nonlinear PhysicsSubfield · 20.8 works14×
← 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: 0.09× its world share, 2 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 1.08× its world share, 27 worksBiochemistry, Geneti…Immunology and Microbiology: 0.12× its world share, 1 worksImmunology and Micro…Neuroscience: 1.33× its world share, 10 worksNeurosciencePharmacology, Toxicology and Pharmaceutics: 0.07× its world share, 0 worksPharmacology, Toxico…Chemical Engineering: 0.70× its world share, 1 worksChemical EngineeringChemistry: 0.51× its world share, 4 worksChemistryComputer Science: 2.02× its world share, 74 worksComputer ScienceEarth and Planetary Sciences: 3.68× its world share, 27 worksEarth and Planetary …Energy: 0.14× its world share, 1 worksEnergyEngineering: 0.96× its world share, 68 worksEngineeringEnvironmental Science: 0.68× its world share, 16 worksEnvironmental ScienceMaterials Science: 0.63× its world share, 10 worksMaterials ScienceMathematics: 19.13× its world share, 106 worksMathematicsPhysics and Astronomy: 5.82× its world share, 61 worksPhysics and AstronomyDentistry: 0.05× its world share, 0 worksDentistryHealth Professions: 0.18× its world share, 2 worksHealth ProfessionsMedicine: 0.24× its world share, 22 worksMedicineArts and Humanities: 0.14× its world share, 2 worksArts and HumanitiesBusiness, Management and Accounting: 0.15× its world share, 2 worksBusiness, Management…Decision Sciences: 2.57× its world share, 12 worksDecision SciencesEconomics, Econometrics and Finance: 1.41× its world share, 14 worksEconomics, Econometr…Psychology: 0.15× its world share, 2 worksPsychologySocial Sciences: 0.12× its world share, 7 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 19.1×. Every wedge is a field page.

Who are the top researchers at Courant Institute of Mathematical Sciences?

Ranked on the composite score, Peter D. Lax, Louis Nirenberg and Charles S. Peskin lead among researchers whose main affiliation is Courant Institute of Mathematical Sciences.

  1. 1 Peter D. Lax United States · #1,685 worldwide 2k citations · 82 works
  2. 2 Louis Nirenberg United States · #6,498 worldwide 2.9k citations · 54 works
  3. 3 Charles S. Peskin United States · #8,316 worldwide 1k citations · 65 works
  4. 4 H. P. McKean United States · #11,605 worldwide 1.3k citations · 46 works
  5. 5 Jacob T. Schwartz United States · #12,672 worldwide 2k citations · 44 works
  6. 6 Percy Deift United States · #18,129 worldwide 761 citations · 54 works
  7. 7 Olof B. Widlund United States · #18,740 worldwide 867 citations · 45 works
  8. 8 Jeff Cheeger United States · #19,466 worldwide 787 citations · 41 works
  9. 9 Leslie Greengard United States · #30,827 worldwide 676 citations · 75 works
  10. 10 Robert V. Kohn United States · #42,018 worldwide 492 citations · 40 works
All ranked researchers at Courant Institute of Mathematical Sciences

Which keywords describe research at Courant Institute of Mathematical Sciences?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Deep Learning, Machine Learning, Monte Carlo Simulation, Inverse Problems, Ocean Circulation, Fluid Dynamics, Data Assimilation and Heat Transfer.

▲ 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. Deep Learning38▲ 2.4×59 topics
  2. Machine Learning35▲ 2.3×55 topics
  3. Climate Change18▲ 1.39×29 topics
  4. Neural Networks17▲ 2.3×28 topics
  5. Monte Carlo Simulation15▲ 16×6 topics
  6. Inverse Problems15▲ 29×4 topics
  7. Heat Transfer13▲ 5.6×8 topics
  8. Ocean Circulation13▲ 21×3 topics
  9. Fluid Dynamics12▲ 19×4 topics
  10. Data Assimilation11▲ 15×4 topics
  11. Large-Eddy Simulation11▲ 12×4 topics
  12. Vortex Dynamics10▲ 19×3 topics
  13. Optimal Transport10▲ 102×1 topic
  14. Ricci Curvature10▲ 102×1 topic
  15. Model Selection9▲ 23×4 topics
  16. Fluid Mechanics9▲ 25×2 topics
  17. Phase Transitions9▲ 32×2 topics
  18. Approximation Algorithms9▲ 26×5 topics
  19. Fluid-Structure Interaction9▲ 12×5 topics
  20. Global Warming9▲ 4.5×5 topics
  21. Nonlinear Systems9▲ 8.6×6 topics
  22. Particle Image Velocimetry9▲ 26×1 topic
  23. Turbulent Flows9▲ 18×1 topic
  24. Fractal Dimension8▲ 48×2 topics
  25. Interacting Particle Systems8▲ 142×1 topic
  26. Scaling Limits8▲ 142×1 topic
  27. Boundary Layer8▲ 14×3 topics
  28. Stability8▲ 7.2×3 topics
  29. Porous Media8▲ 12×6 topics
  30. Critical Phenomena8▲ 80×1 topic
  31. Random Walk Algorithm8▲ 80×1 topic
  32. Partial Differential Equations7▲ 29×2 topics
  33. Dynamic Mode Decomposition7▲ 44×1 topic
  34. Model Reduction7▲ 30×1 topic
  35. Molecular Dynamics7▲ 9.1×5 topics
  36. Random Matrix Theory7▲ 47×3 topics
  37. Feedback Control6▲ 8.4×5 topics
  38. Nonlinear Equations6▲ 10×5 topics
  39. Kähler Metrics6▲ 99×1 topic
  40. Scalar Curvature6▲ 99×1 topic

Which research topics does Courant Institute of Mathematical Sciences publish most on?

By volume in 2022–2025: Geometric Analysis and Curvature Flows, Fluid Dynamics and Turbulent Flows, Stochastic processes and statistical mechanics and Theoretical and Computational Physics.

Geometric Analysis and C…10Geometric Analysis and Curvature Flows: 10 fractional worksFluid Dynamics and Turbu…9Fluid Dynamics and Turbulent Flows: 9 fractional worksStochastic processes and statistical mechanics: 8 fractional worksTheoretical and Computat…8Theoretical and Computational Physics: 8 fractional worksModel Reduction and Neur…7Model Reduction and Neural Networks: 7 fractional worksGeometry and complex manifolds: 6 fractional worksClimate variability and models: 6 fractional worksMarkov Chains and Monte …6Markov Chains and Monte Carlo Methods: 6 fractional worksMeteorological Phenomena and Simulations: 5 fractional worksRandom Matrices and Applications: 5 fractional works
Applied MathematicsComputational MechanicsMathematical PhysicsCondensed Matter Physics5 others

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

  1. 1 Geometric Analysis and Curvature Flows Applied Mathematics 10 works
  2. 2 Fluid Dynamics and Turbulent Flows Computational Mechanics 9 works
  3. 3 Stochastic processes and statistical mechanics Mathematical Physics 8 works
  4. 4 Theoretical and Computational Physics Condensed Matter Physics 8 works
  5. 5 Model Reduction and Neural Networks Statistical and Nonlinear Physics 7 works
  6. 6 Geometry and complex manifolds Geometry and Topology 6 works
  7. 7 Climate variability and models Global and Planetary Change 6 works
  8. 8 Markov Chains and Monte Carlo Methods Statistics and Probability 6 works
  9. 9 Meteorological Phenomena and Simulations Atmospheric Science 5 works
  10. 10 Random Matrices and Applications Statistics and Probability 5 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 available35.1%not open64.9%

World: 28% of research is openly available.

with international co-authors23.1%domestic only76.9%

World: 19% is written across borders.

How has Courant Institute of Mathematical Sciences's research output changed?

Output in 2018–2022 was 15% 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 New York

All research institutions in New York

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.