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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
99
Citations
39821
World Ranking
49
National Ranking
35

Luis A. Caffarelli publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Luis A. Caffarelli sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 82 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 319 publications — 88th percentile

88% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Luis A. Caffarelli D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Luis A. Caffarelli sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 137 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 99 D-Index — 99th percentile

99% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2018 - SIAM Fellow For seminal contributions in regularity theory of nonlinear partial differential equations, free boundary problems, fully nonlinear equations, and nonlocal diffusion.
  • 2014 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Wolf Prize in Mathematics for his work on partial differential equations.
  • 2009 - Steele Prize for Lifetime Achievement
  • 2005 - Rolf Schock Prize for Mathematics
  • 1991 - Member of the National Academy of Sciences
  • 1986 - Fellow of the American Academy of Arts and Sciences

Overview

Luis A. Caffarelli is affiliated with The University of Texas at Austin in the United States and primarily works in the field of mathematics. Their scholarly contributions span several subfields including applied mathematics, computational theory and mathematics, mathematical physics, geometry and topology, and numerical analysis.

The main topics covered by their research include nonlinear partial differential equations, advanced mathematical modeling in engineering, geometric analysis and curvature flows, geometry and complex manifolds, differential equations and numerical methods, stochastic processes and statistical mechanics, and numerical methods in inverse problems.

Frequent venues for publication are:

  • arXiv (Cornell University)
  • Archive for Rational Mechanics and Analysis
  • Communications in Partial Differential Equations
  • Advances in Mathematics
  • Analysis & PDE

Some notable recent papers by Luis A. Caffarelli include:

  • Regularity for C1,α Interface Transmission Problems, 2021, Archive for Rational Mechanics and Analysis
  • The two-phase Stefan problem with anomalous diffusion, 2022, Advances in Mathematics
  • Global C1,α Regularity for Monge-Ampère Equation and Convex Envelope, 2022, Archive for Rational Mechanics and Analysis
  • On a family of fully nonlinear integrodifferential operators: from fractional Laplacian to nonlocal Monge-Ampère, 2024, Analysis & PDE
  • Existence of weak solutions to a continuity equation with space time nonlocal Darcy law, 2020, Communications in Partial Differential Equations

The most frequent co-authors collaborating with Luis A. Caffarelli include:

  • María Soria-Carro
  • Pablo Raúl Stinga
  • Ioannis Athanasopoulos
  • Emmanouil Milakis
  • Ignacio Tomasetti

Their contributions have been recognized through several awards, including:

  • SIAM Fellow (2018) for contributions in regularity theory of nonlinear partial differential equations, free boundary problems, fully nonlinear equations, and nonlocal diffusion
  • Steele Prize for Seminal Contribution to Research (2014)
  • Fellow of the American Mathematical Society (2013)
  • Wolf Prize in Mathematics (2012) for work on partial differential equations
  • Steele Prize for Lifetime Achievement (2009)
  • Rolf Schock Prize for Mathematics (2005)
  • Member of the National Academy of Sciences (1991)
  • Fellow of the American Academy of Arts and Sciences (1986)

Best Publications

  • An Extension Problem Related to the Fractional Laplacian

    Luis A Caffarelli;Luis Silvestre

  • Partial regularity of suitable weak solutions of the navier‐stokes equations

    L. Caffarelli;R. Kohn;L. Nirenberg

  • Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

    Luis A. Caffarelli;Basilis Gidas;Joel Spruck

  • Fully Nonlinear Elliptic Equations

    Luis A. Caffarelli;Xavier Cabré

  • First order interpolation inequalities with weights

    L. Caffarelli;R. Kohn;L. Nirenberg

  • The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

    L. Caffarelli;L. Nirenberg;J. Spruck

  • Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

    Luis A. Caffarelli;Alexis Vasseur

  • Existence and regularity for a minimum problem with free boundary

    H. W. Alt;Luis A Caffarelli

  • The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation

    L. Caffarelli;L. Nirenberg;J. Spruck

  • Interior a priori estimates for solutions of fully non-linear equations

    Luis A. Caffarelli

  • Regularity theory for fully nonlinear integro‐differential equations

    Luis A Caffarelli;Luis Silvestre

  • Nonlocal minimal surfaces

    L. Caffarelli;Jean-Michel Roquejoffre;O. Savin

  • Interior $W^{2,p}$ estimates for solutions of the Monge-Ampère equation

    Luis A. Caffarelli

  • Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

    Luis A. Caffarelli;Sandro Salsa;Luis Silvestre

  • Variational problems with two phases and their free boundaries

    Hans Wilhelm Alt;Luis A. Caffarelli;Avner Friedman

  • On W1,p estimates for elliptic equations in divergence form

    Luis A. Caffarelli;I. Peral

  • The regularity of free boundaries in higher dimensions

    Luis A. Caffarelli

  • The Obstacle Problem Revisited.

    L. A. Caffarelli

  • The regularity of mappings with a convex potential

    Luis A. Caffarelli

  • A Geometric Approach to Free Boundary Problems

    Luis Caffarelli;Sandro Salsa

Frequent Co-Authors

Avner Friedman
Avner Friedman The Ohio State University
Luis Silvestre
Luis Silvestre University of Chicago
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Joel Spruck
Joel Spruck Johns Hopkins University
Alexis F. Vasseur
Alexis F. Vasseur The University of Texas at Austin
YanYan Li
YanYan Li Rutgers, The State University of New Jersey
Jean-Michel Roquejoffre
Jean-Michel Roquejoffre Toulouse Mathematics Institute

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