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Mathematics
UK
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
20087
World Ranking
218
National Ranking
13

José A. Carrillo 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 José A. Carrillo 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: 450 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

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

José A. Carrillo 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 José A. Carrillo 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: 74 D-Index — 94th percentile

94% 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 Kingdom Leader Award

Overview

José A. Carrillo is affiliated with the University of Oxford in the United Kingdom. Their research primarily focuses on the field of Mathematics, with a concentration on Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics, Mathematical Physics, and Computational Mechanics.

The main topics of their work include Mathematical Biology Tumor Growth, Nonlinear Partial Differential Equations, Gas Dynamics and Kinetic Theory, Geometric Analysis and Curvature Flows, Advanced Mathematical Modeling in Engineering, Advanced Thermodynamics and Statistical Mechanics, and Mathematical and Theoretical Epidemiology and Ecology Models.

José A. Carrillo has published extensively, with a significant number of articles appearing in venues such as arXiv (Cornell University), SIAM Journal on Mathematical Analysis, SSRN Electronic Journal, Nonlinear Analysis, and the Journal of Computational Physics.

Some of their recent publications include:

  • A consensus-based global optimization method for high dimensional machine learning problems, 2020, ESAIM Control Optimisation and Calculus of Variations
  • Primal Dual Methods for Wasserstein Gradient Flows, 2021, Foundations of Computational Mathematics
  • Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability, 2020, Proceedings of the London Mathematical Society

Frequent coauthors in José A. Carrillo's research include:

  • David Gómez-Castro
  • Carles Falcó
  • Rafael Bailo
  • Susanne Solem
  • Serafim Kalliadasis

Best Publications

  • Entropy Solutions for Nonlinear Degenerate Problems

    José Carrillo

  • Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • Asymptotic Flocking Dynamics for the Kinetic Cucker–Smale Model

    José A. Carrillo;M. Fornasier;Jesús Rosado;Giuseppe Toscani

  • The mathematics teacher’s specialised knowledge (MTSK) model*

    José Carrillo-Yañez;Nuria Climent;Miguel Montes;Luis C. Contreras

  • Particle, kinetic, and hydrodynamic models of swarming

    José A. Carrillo;Massimo Fornasier;Giuseppe Toscani;Francesco Vecil

  • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

    J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani

  • Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • Asymptotic L1-decay of solutions of the porous medium equation to self-similarity

    J. A. Carrillo;G. Toscani

  • Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

    J. A. Carrillo;M. Difrancesco;Alessio Figalli;T. Laurent

  • A well-posedness theory in measures for some kinetic models of collective motion

    José A. Cañizo;José A. Carrillo;Jesús Rosado

  • Infinite time aggregation for the critical Patlak-Keller-Segel model in ℝ2

    Adrien Blanchet;José A. Carrillo;Nader Masmoudi

  • On some properties of kinetic and hydrodynamic equations for inelastic interactions

    A. V. Bobylev;J. A. Carrillo;J. A. Carrillo;I. M. Gamba

  • Volume effects in the Keller-Segel model : energy estimates preventing blow-up

    Vincent Calvez;José A. Carrillo

  • DOUBLE MILLING IN SELF-PROPELLED SWARMS FROM KINETIC THEORY

    José A. Carrillo;M. R. D’Orsogna;V. Panferov

  • Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming

    François Bolley;José Alfredo Cañizo;José Carrillo

  • Blow-up in multidimensional aggregation equations with mildly singular interaction kernels !

    Andrea L Bertozzi;José A Carrillo;Thomas Laurent

  • The derivation of swarming models: Mean-field limit and Wasserstein distances

    José Antonio Carrillo;Young Pil Choi;Maxime Hauray

  • Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model

    Adrien Blanchet;Vincent Calvez;José A. Carrillo

  • Critical mass for a Patlak–Keller–Segel model with degenerate diffusion in higher dimensions

    Adrien Blanchet;José Antonio Carrillo;Philippe Laurençot

  • A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

    Jose A Carrillo;Alina Chertock;Yanghong Huang

  • Uniqueness of Renormalized Solutions of Degenerate Elliptic-Parabolic Problems

    José Carrillo;Petra Wittbold

Frequent Co-Authors

Giuseppe Toscani
Giuseppe Toscani University of Pavia
Chi-Wang Shu
Chi-Wang Shu Brown University
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Irene M. Gamba
Irene M. Gamba The University of Texas at Austin
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Vincent Calvez
Vincent Calvez Centre national de la recherche scientifique, CNRS
Benoît Perthame
Benoît Perthame Sorbonne University
Serafim Kalliadasis
Serafim Kalliadasis Imperial College London
Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University

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