H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 44 Citations 5,731 157 World Ranking 815 National Ranking 17

Research.com Recognitions

Awards & Achievements

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

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2017-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2017 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Top Publications

A mass transportation approach to quantitative isoperimetric inequalities

Alessio Figalli;Francesco Maggi;Aldo Pratelli.
Inventiones Mathematicae (2010)

295 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)

272 Citations

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

Alessio Figalli.
Journal of Functional Analysis (2008)

203 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)

163 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)

142 Citations

The Monge–Ampère equation and its link to optimal transportation

Guido De Philippis;Alessio Figalli.
Bulletin of the American Mathematical Society (2014)

136 Citations

When is multidimensional screening a convex program

Alessio Figalli;Young-Heon Kim;Robert J. McCann.
Journal of Economic Theory (2011)

113 Citations

The Monge-ampere Equation and Its Applications

Alessio Figalli.
(2017)

110 Citations

Non-local gradient dependent operators

Clayton M Bjorland;Luis A Caffarelli;Alessio Figalli.
Advances in Mathematics (2012)

102 Citations

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

Guido De Philippis;Alessio Figalli.
Inventiones Mathematicae (2013)

98 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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