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Researcher · The University of Texas at Austin · United States

Luis A. Caffarelli

Luis A. Caffarelli publishes mostly in Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics, on topics such as Advanced Mathematical Modeling in Engineering, Nonlinear Partial Differential Equations and Geometric Analysis and Curvature Flows.

ORCID 0000-0001-9283-7083 OpenAlex
World rank
#11,166
of 7,710,434 ranked researchers
Rank in United States
#3,846
of 1,627,098
Works
388
Citations
32k
Citations per work
83.7
h-index
87
i10-index 232Top 0.1% in Applied Mathematics
Luis A. Caffarelli

What does Luis A. Caffarelli research?

Luis A. Caffarelli's work is mostly in Mathematics (56%), Computer Science (20%), Engineering (4%).

Physical Sciences: 311 works · 80.1% of their workMathematics: 218 works · 56.2% of their workApplied Mathematics: 139 works · 35.8% of their workMathematical Physics: 40 works · 10.3% of their workGeometry and Topology: 22 works · 5.6% of their workNumerical Analysis: 17 works · 4.5% of their workComputer Science: 78 works · 20.2% of their workComputational Theory and Mathematics: 78 works · 20.2% of their workEngineering: 14 works · 3.7% of their workComputational Mechanics: 14 works · 3.7% of their workEverything else: 77 works · 19.9% of their workTHEIR WORKLuis A.Caffarelli388works
Physical Sciences80%

Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.

The fields and subfields, with their numbers
    1. Mathematics21856.2%
    2. Computer Science7820.2%
    3. Engineering143.7%
  2. Everything else7719.9%
  1. 1Applied Mathematics36% of their works
  2. 2Computational Theory and Mathematics20% of their works
  3. 3Mathematical Physics10% of their works
  4. 4Geometry and Topology6% of their works
  5. 5Numerical Analysis4% of their works
  6. 6Computational Mechanics4% of their works

Research topics

Which keywords describe Luis A. Caffarelli's research?

The keywords of their largest research topics: Fractional Laplacian, Heterogeneous, Multiscale Methods, Sobolev Spaces, Numerical Methods, Optimal Transport, Ricci Curvature and Boundary Value Problems.

Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.

All 18 words, with their numbers
  1. Fractional Laplacian1761 topic
  2. Heterogeneous1761 topic
  3. Multiscale Methods1761 topic
  4. Sobolev Spaces1761 topic
  5. Numerical Methods802 topics
  6. Optimal Transport691 topic
  7. Ricci Curvature691 topic
  8. Boundary Value Problems622 topics
  9. Inverse Problems451 topic
  10. Regularization Methods451 topic
  11. Convection-Diffusion Problems351 topic
  12. Singular Perturbation351 topic
  13. Kähler Metrics331 topic
  14. Stability331 topic
  15. Nonlocal321 topic
  16. Partial Differential Equations321 topic
  17. Fractional Differential Equations301 topic
  18. Semilinear Differential Equations301 topic

Where does Luis A. Caffarelli work?

Luis A. Caffarelli's main affiliation in the publication record is The University of Texas at Austin, United States.

How many publications and citations does Luis A. Caffarelli have?

OpenAlex counts 388 works and 32,467 citations for Luis A. Caffarelli, an h-index of 87, ranking #11,166 of 7,710,434 researchers worldwide on the quality score.

Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.

Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.

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