2026 Alessio Figalli: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	58	657	557	11	11	201	8283

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

426
Citations
Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations

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

351
Citations
Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients

Alessio Figalli

281
Citations
Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot

221
Citations
The Monge-ampere Equation and Its Applications

Alessio Figalli

207
Citations
The power of quantum neural networks

Amira Abbas;David Sutter;Christa Zoufal;Aurélien Lucchi

196
Citations
Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

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

187
Citations
The Monge–Ampère equation and its link to optimal transportation

Guido De Philippis;Alessio Figalli

183
Citations
The Optimal Partial Transport Problem

Alessio Figalli

164
Citations
Non-local gradient dependent operators

Clayton M Bjorland;Luis A Caffarelli;Alessio Figalli

130
Citations
When is multidimensional screening a convex program

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

124
Citations
Nonlocal Tug-of-War and the Infinity Fractional Laplacian

Clayton M Bjorland;Luis A Caffarelli;Alessio Figalli

121
Citations
Optimal transportation on non-compact manifolds

Albert Fathi;Alessio Figalli

118
Citations
Regularity of solutions to the parabolic fractional obstacle problem

Luis A Caffarelli;Alessio Figalli

118
Citations
W2,1 regularity for solutions of the Monge-Ampère equation

Guido De Philippis;Alessio Figalli

117
Citations
A refined Brunn-Minkowski inequality for convex sets

Alessio Figalli;Francesco Maggi;A. Pratelli

117
Citations
A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment

Alessio Figalli;Moon-Jin Kang

110
Citations
A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions

Alessio Figalli;Nicola Gigli

107
Citations
Mass Transportation on Sub-Riemannian Manifolds

Alessio Figalli;Ludovic Rifford

106
Citations
Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller–Segel equation

Eric A. Carlen;Alessio Figalli

99
Citations
Non-Local Tug-of-War and the Infinity Fractional Laplacian

Clayton Bjorland;Luis Caffarelli;Alessio Figalli

2
Citations

Frequent Co-Authors

Luigi Ambrosio National Research Council (CNR)

Enrico Valdinoci University of Western Australia

David Jerison MIT

Robert J. McCann University of Toronto

Cédric Villani École Normale Supérieure de Rennes

Luis A. Caffarelli The University of Texas at Austin

Haim Brezis Rutgers, The State University of New Jersey

Alice Guionnet École Normale Supérieure de Lyon

Juan Luis Vázquez Autonomous University of Madrid

José A. Carrillo University of Oxford

External Links

Wikipedia of Alessio Figalli Personal website of Alessio Figalli Google Scholar page

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