Luis Caffarelli
Luis Caffarelli publishes mostly in Applied Mathematics, Computational Theory and Mathematics and Geometry and Topology, on topics such as Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering and Geometric Analysis and Curvature Flows.
- World rank
- #4,243 of 1,633,909 ranked researchers
- Rank in United States
- #1,997 of 358,040
- Works
- 92
- Citations
- 1.5k
- Citations per work
- 16.4
What does Luis Caffarelli research?
Shares of their own output, by the field each of their topics belongs to. The grey slice is everything not listed.
- 1Applied Mathematics37% of their works
- 2Computational Theory and Mathematics17% of their works
- 3Geometry and Topology6% of their works
- 4Mathematical Physics6% of their works
- 5Computational Mechanics5% of their works
- 6Mechanics of Materials5% of their works
Research topics
- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Geometric Analysis and Curvature Flows
- Nonlinear Differential Equations Analysis
- Geometry and complex manifolds
- Numerical methods in inverse problems
- Stability and Controllability of Differential Equations
- Composite Material Mechanics
Which keywords describe Luis Caffarelli's research?
The keywords of their largest research topics: Fractional Laplacian, Sobolev Spaces, Heterogeneous, Multiscale Methods, Controllability, Optimal Transport, Ricci Curvature and Boundary Value Problems.
- Multi-Scale
- Distributed Parameter Systems
- Regularization Methods
- Scalar Curvature
- Stability
- Boundary Value Problems
- Optimal Transport
- Multiscale Methods
- Sobolev Spaces
- Fractional Laplacian
- Heterogeneous
- Controllability
- Ricci Curvature
- Fractional Differential Equations
- Kähler Metrics
- Inverse Problems
- Boundary Control
- Heterogeneous Materials
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
- Fractional Laplacian211 topic
- Sobolev Spaces211 topic
- Heterogeneous181 topic
- Multiscale Methods181 topic
- Controllability112 topics
- Optimal Transport101 topic
- Ricci Curvature101 topic
- Boundary Value Problems81 topic
- Fractional Differential Equations81 topic
- Stability82 topics
- Kähler Metrics51 topic
- Scalar Curvature51 topic
- Inverse Problems41 topic
- Regularization Methods41 topic
- Boundary Control31 topic
- Distributed Parameter Systems31 topic
- Heterogeneous Materials31 topic
- Multi-Scale31 topic
Where does Luis Caffarelli work?
Luis Caffarelli's main affiliation in the publication record is The University of Texas at Austin, United States.
How many publications and citations does Luis Caffarelli have?
Science Explorer counts 92 works and 1,509 citations for Luis Caffarelli, ranking #4,243 of 1,633,909 researchers worldwide on the composite 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 are in the interactive view on the map. Is this your page? Request a correction or removal.