Xavier Ros Oton

Regularity Theory for Elliptic PDE, pdf

Xavier Fernandez-Real, Xavier Ros-Oton,

Zurich Lectures in Advanced Mathematics. EMS books, 2022.

Integro-Differential Elliptic Equations, pdf

Xavier Fernandez-Real, Xavier Ros-Oton,

Progress in Mathematics 350, Birkhauser, 2024.

Optimal regularity for kinetic Fokker-Planck equations in domains, pdf

Xavier Ros-Oton, Marvin Weidner,

preprint arXiv (2025).

Improvement of flatness for nonlocal free boundary problems, pdf

Xavier Ros-Oton, Marvin Weidner,

J. Eur. Math. Soc. (2025), to appear.

Semiconvexity estimates for nonlinear integro-differential equations, pdf

Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner,

Comm. Pure Appl. Math. 78 (2025), 592-647.

Optimal regularity for the fully nonlinear thin obstacle problem, pdf

Maria Colombo, Xavier Fernandez-Real, Xavier Ros-Oton,

J. Eur. Math. Soc. (2025), to appear.

Optimal regularity for supercritical parabolic obstacle problems, pdf

Xavier Ros-Oton, Clara Torres-Latorre,

Comm. Pure Appl. Math. 77 (2024), 1724-1765.

The singular set in the Stefan problem, pdf

Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,

J. Amer. Math. Soc. 37 (2024), 305-389.

Stable cones in the thin one-phase problem, pdf

Xavier Fernandez-Real, Xavier Ros-Oton,

Amer. J. Math. 146 (2024), 631-685.

Generic regularity of free boundaries for the obstacle problem, pdf

Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,

Publ. Math. Inst. Hautes Études Sci. 132 (2020), 181-292.

Stable solutions to semilinear elliptic equations are smooth up to dimension 9, pdf

Xavier Cabré, Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,

Acta Math. 224 (2020), 187-252.

Free boundary regularity in the parabolic fractional obstacle problem, pdf

Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,

Comm. Pure Appl. Math. 71 (2018), 2129-2159.

Obstacle problems for integro-differential operators: regularity of solutions and free boundaries, pdf

Luis Caffarelli, Xavier Ros-Oton, Joaquim Serra

Invent. Math. 208 (2017), 1155-1211.

Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains, pdf

Matteo Bonforte, Alessio Figalli, Xavier Ros-Oton,

Comm. Pure Appl. Math. 70 (2017), 1472-1508.

Global regularity for the free boundary in the obstacle problem for the fractional Laplacian, pdf

Begoña Barrios, Alessio Figalli, Xavier Ros-Oton,

Amer. J. Math. 140 (2018), 415-447.

Boundary regularity for fully nonlinear integro-differential equations, pdf

Xavier Ros-Oton, Joaquim Serra,

Duke Math. J. 165 (2016), 2079-2154.

Sharp isoperimetric inequalities via the ABP method, pdf

Xavier Cabré, Xavier Ros-Oton, Joaquim Serra,

J. Eur. Math. Soc. 18 (2016), 2971-2998.

Editorial Board member of Rev. Mat. Iberoam. (2024 - present).

Editorial Board member of Calc. Var. PDE (2020 - 2023).

Editorial Board member of Nonlinear Analysis (2020 - 2023).

Editorial Board member of Disc. Cont. Dyn. Syst. A (2023 - present).

Editorial Board member of Collectanea Mathematica (2021 - present).

Scientific Committee member of Rev. Acad. Cienc. Ser. A Math. (2022 - present).

President of the committee of the Catalan Mathematical Olympiad (2020 - present).

Premi Nacional de Recerca al Talent Jove 2024

Awarded annually to a researcher under 40 years, working in any area of knowledge. First mathematician to receive the award.

PI of the ERC Consolidator Grant   'SSNSD'   (2024 - 2029)

Awarded amount: 1,682,500€

Premio Nacional de Investigación para Jóvenes 2023 en Matemáticas y Tecnologías de la Información y las Comunicaciones

Awarded annually to a Spanish mathematician or computer scientist under 40 years. First mathematician to receive the award.

Frontiers of Science Awards 2023

International prize given to 86 papers in all areas of Mathematics published in 2018--2022.

Awarded twice for the articles "Generic regularity of free boundaries for the obstacle problem"

and "Stable solutions to semilinear elliptic equations are smooth up to dimension 9".

The prize is given by the government of China at the International Congress of Basic Science.

Ferran Sunyer i Balaguer Prize 2023

Awarded for the book "Integro-Differential Elliptic Equations", with X. Fernandez-Real.

The Prize comes with a monetary award of 15,000€.

Académico Correspondiente of the Spanish Royal Academy of Sciences

Elected on October 2022. Youngest member of the Academy.

Stampacchia Gold Medal 2021

International prize awarded every three years in recognition of outstanding contributions to the Calculus of Variations.

The medal, named after Guido Stampacchia, goes to a mathematician whose age does not exceed 35.

Premio FPdGi Investigación Científica 2019 from the Fundación Princesa de Girona

Awarded anually to a young Spanish scientist under 35 years.

PI of the ERC Starting Grant   'EllipticPDE'   (2019 - 2024)

Awarded amount: 1,335,250€

PI of SNSF Research Project (2018 - 2020)

Premio Antonio Valle 2017 from the Spanish Society of Applied Mathematics

Premio Jose Luis Rubio de Francia 2017 from the Real Sociedad Matemática Española

Awarded anually to a young mathematician from Spain or residing in Spain.

PI of the NSF Analysis Grant DMS-1565186 (2016 - 2017)

Premio Vicent Caselles 2015 from the Real Sociedad Matemática Española

Extraordinary PhD Prize from the Universitat Politecnica de Catalunya

Premi Évariste Galois 2012 from the Societat Catalana de Matemàtiques

Bronze Medal at the International Mathematical Olympiad 2006