World's Best Scientists 2026 revealed!
Alessio Figalli

Alessio Figalli

D-Index & Metrics

Mathematics

D-Index
58
Citations
8283
World Ranking
657
National Ranking
11

Alessio Figalli 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 Alessio Figalli 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: 201 publications — 62nd percentile

62% of scientists in this discipline score the same or lower.

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

Alessio Figalli 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 Alessio Figalli 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: 58 D-Index — 83rd percentile

83% 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

  • 2019 - Member of Academia Europaea
  • 2018 - Fields Medal of International Mathematical Union (IMU) For contributions to the theory of optimal transport and its applications in partial differential equations, metric geometry and probability.
  • 2017 - Member of the European Academy of Sciences

Overview

Alessio Figalli is affiliated with ETH Zurich in Switzerland and has a significant publication record in the fields of Mathematics and Computer Science. Their research primarily focuses on applied mathematics, computational theory and mathematics, mathematical physics, geometry and topology, as well as artificial intelligence. The main topics of their work include nonlinear partial differential equations, advanced mathematical modeling in engineering, geometric analysis and curvature flows, point processes and geometric inequalities, numerical methods in inverse problems, advanced harmonic analysis research, and advanced mathematical physics problems.

Frequent publication venues for Alessio Figalli include arXiv (Cornell University) with 29 publications, Communications on Pure and Applied Mathematics with 4 publications, Archive for Rational Mechanics and Analysis with 3 publications, Nonlinear Analysis with 2 publications, and Annales de l'Institut Henri Poincaré C Analyse Non Linéaire also with 2 publications.

Significant papers authored or co-authored by Alessio Figalli include:

  • Sharp gradient stability for the Sobolev inequality, 2022, Duke Mathematical Journal
  • On the Sharp Stability of Critical Points of the Sobolev Inequality, 2020, Archive for Rational Mechanics and Analysis
  • Symmetry results for critical anisotropic p-Laplacian equations in convex cones, 2020, Virtual Community of Pathological Anatomy (University of Castilla La Mancha)

Alessio Figalli has collaborated frequently with several co-authors, including Sunghan Kim (11 publications), Yi Ru-Ya Zhang (8 publications), Joaquim Serra (6 publications), Henrik Shahgholian (6 publications), and Xavier Ros-Oton (5 publications).

The scientist has contributed to book publications under EMS Textbooks in Mathematics, with two editions of An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows published in 2021 and 2023, respectively.

Awards and honors received include becoming a Member of the European Academy of Sciences in 2017, a Member of Academia Europaea in 2019, and the Fields Medal from the International Mathematical Union in 2018 for contributions to the theory of optimal transport and its applications in partial differential equations, metric geometry, and probability.

Best Publications

  • A mass transportation approach to quantitative isoperimetric inequalities

    Alessio Figalli;Francesco Maggi;Aldo Pratelli

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

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

  • Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients

    Alessio Figalli

  • Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

    Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot

  • The Monge-ampere Equation and Its Applications

    Alessio Figalli

  • The power of quantum neural networks

    Amira Abbas;David Sutter;Christa Zoufal;Aurélien Lucchi

  • Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

    Begona Barrios Barrera;Begona Barrios Barrera;Alessio Figalli;Enrico Valdinoci

  • The Monge–Ampère equation and its link to optimal transportation

    Guido De Philippis;Alessio Figalli

  • The Optimal Partial Transport Problem

    Alessio Figalli

  • Non-local gradient dependent operators

    Clayton M Bjorland;Luis A Caffarelli;Alessio Figalli

  • When is multidimensional screening a convex program

    Alessio Figalli;Young-Heon Kim;Robert J. McCann

  • Nonlocal Tug-of-War and the Infinity Fractional Laplacian

    Clayton M Bjorland;Luis A Caffarelli;Alessio Figalli

  • Optimal transportation on non-compact manifolds

    Albert Fathi;Alessio Figalli

  • Regularity of solutions to the parabolic fractional obstacle problem

    Luis A Caffarelli;Alessio Figalli

  • W2,1 regularity for solutions of the Monge-Ampère equation

    Guido De Philippis;Alessio Figalli

  • A refined Brunn-Minkowski inequality for convex sets

    Alessio Figalli;Francesco Maggi;A. Pratelli

  • A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment

    Alessio Figalli;Moon-Jin Kang

  • A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

    Alessio Figalli;Nicola Gigli

  • Mass Transportation on Sub-Riemannian Manifolds

    Alessio Figalli;Ludovic Rifford

  • Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation

    Eric A. Carlen;Alessio Figalli

  • Non-Local Tug-of-War and the Infinity Fractional Laplacian

    Clayton Bjorland;Luis Caffarelli;Alessio Figalli

Frequent Co-Authors

Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Robert J. McCann
Robert J. McCann University of Toronto
Cédric Villani
Cédric Villani École Normale Supérieure de Rennes
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Alice Guionnet
Alice Guionnet École Normale Supérieure de Lyon
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
José A. Carrillo
José A. Carrillo University of Oxford

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