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- Alessio Figalli

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
48
Citations
6,249
184
World Ranking
903
National Ranking
18

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

- Mathematical analysis
- Geometry
- Algebra

His primary areas of study are Mathematical analysis, Pure mathematics, Convex function, Type and Bounded function. His research combines Combinatorics and Mathematical analysis. His work deals with themes such as Vector field and Uniqueness, which intersect with Pure mathematics.

The study incorporates disciplines such as Range, Minimal surface and Class in addition to Type. His studies deal with areas such as Zero, Norm, Hölder condition and Minification as well as Bounded function. He studied Lipschitz continuity and Martingale difference sequence that intersect with Initial value problem.

- A mass transportation approach to quantitative isoperimetric inequalities (295 citations)
- Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations (221 citations)
- Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients (161 citations)

Mathematical analysis, Pure mathematics, Bounded function, Boundary and Combinatorics are his primary areas of study. His Mathematical analysis and Measure, Uniqueness, Monge–Ampère equation, Limit and Sobolev inequality investigations all form part of his Mathematical analysis research activities. Alessio Figalli combines subjects such as Function, Norm and Type with his study of Pure mathematics.

In his research on the topic of Norm, Corollary and Isoperimetric inequality is strongly related with Regular polygon. His Bounded function course of study focuses on Zero and Infinity. His study in the fields of Open set and Dimension under the domain of Combinatorics overlaps with other disciplines such as Nabla symbol.

- Mathematical analysis (45.31%)
- Pure mathematics (35.16%)
- Bounded function (14.06%)

- Pure mathematics (35.16%)
- Mathematical analysis (45.31%)
- Boundary (13.67%)

Alessio Figalli mostly deals with Pure mathematics, Mathematical analysis, Boundary, Obstacle problem and Bounded function. His work in Pure mathematics addresses subjects such as Monotone polygon, which are connected to disciplines such as Monge–Ampère equation. Alessio Figalli regularly links together related areas like Constant in his Mathematical analysis studies.

His Boundary study integrates concerns from other disciplines, such as Structure, Elliptic operator and Laplace operator. His Obstacle problem research includes themes of Manifold, Fractional Laplacian and Applied mathematics. His study in Bounded function is interdisciplinary in nature, drawing from both Dirichlet problem, Norm and Poincaré inequality.

- A rigorous derivation from the kinetic Cucker–Smale model to the pressureless Euler system with nonlocal alignment (45 citations)
- Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations (39 citations)
- Rigidity and sharp stability estimatesfor hypersurfaces with constant and almost-constant nonlocal mean curvature (35 citations)

- Mathematical analysis
- Geometry
- Algebra

The scientist’s investigation covers issues in Boundary, Pure mathematics, Mathematical analysis, Bounded function and Obstacle problem. He has researched Boundary in several fields, including Combinatorics and Laplace operator. His Pure mathematics study frequently draws connections to other fields, such as Function.

His Mathematical analysis study combines topics from a wide range of disciplines, such as Mean curvature and Constant. Alessio Figalli has included themes like Dimension and Conjecture in his Bounded function study. His biological study spans a wide range of topics, including Structure, Fractional Laplacian, Fourier transform and Manifold.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

A mass transportation approach to quantitative isoperimetric inequalities

Alessio Figalli;Francesco Maggi;Aldo Pratelli.

Inventiones Mathematicae **(2010)**

329 Citations

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

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

Duke Mathematical Journal **(2011)**

298 Citations

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

Alessio Figalli.

Journal of Functional Analysis **(2008)**

225 Citations

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

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

Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze **(2014)**

174 Citations

Isoperimetry and Stability Properties of Balls with Respect to Nonlocal Energies

Alessio Figalli;Nicola Fusco;Francesco Maggi;Vincent Millot.

Communications in Mathematical Physics **(2015)**

168 Citations

The Monge–Ampère equation and its link to optimal transportation

Guido De Philippis;Alessio Figalli.

Bulletin of the American Mathematical Society **(2014)**

151 Citations

The power of quantum neural networks

Amira Abbas;David Sutter;Christa Zoufal;Aurélien Lucchi.

Bulletin of the American Physical Society **(2021)**

136 Citations

The Monge-ampere Equation and Its Applications

Alessio Figalli.

**(2017)**

133 Citations

The Optimal Partial Transport Problem

Alessio Figalli.

Archive for Rational Mechanics and Analysis **(2010)**

112 Citations

When is multidimensional screening a convex program

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

Journal of Economic Theory **(2011)**

110 Citations

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