Xavier Ros Oton
ICREA Research Professor & Catedràtic d'Universitat
Departament de Matemàtiques i Informàtica,
Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain
xros@icrea.cat
Books
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Integro-Differential Elliptic Equations, pdf
Xavier Fernandez-Real, Xavier Ros-Oton,
Progress in Mathematics 350, Birkhauser, 2024.
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Regularity Theory for Elliptic PDE, pdf
Xavier Fernandez-Real, Xavier Ros-Oton,
Zurich Lectures in Advanced Mathematics. EMS books, 2022.
Selected papers
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Semiconvexity estimates for nonlinear integro-differential equations, pdf
Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner,
Comm. Pure Appl. Math. (2024), to appear.
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Optimal regularity for the fully nonlinear thin obstacle problem, pdf
Maria Colombo, Xavier Fernandez-Real, Xavier Ros-Oton,
J. Eur. Math. Soc. (2024), to appear.
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Optimal regularity for supercritical parabolic obstacle problems, pdf
Xavier Ros-Oton, Clara Torres-Latorre,
Comm. Pure Appl. Math. 77 (2024), 1724-1765.
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The singular set in the Stefan problem, pdf
Alessio Figalli, Xavier Ros-Oton, Joaquim Serra,
J. Amer. Math. Soc. 37 (2024), 305-389.
Quanta Magazine: 'Mathematicians Prove Melting Ice Stays Smooth'
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Stable cones in the thin one-phase problem, pdf
Xavier Fernandez-Real, Xavier Ros-Oton,
Amer. J. Math. 146 (2024), 631-685.
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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.
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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.
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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.
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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.
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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.
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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.
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Boundary regularity for fully nonlinear integro-differential equations, pdf
Xavier Ros-Oton, Joaquim Serra,
Duke Math. J. 165 (2016), 2079-2154.
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Sharp isoperimetric inequalities via the ABP method, pdf
Xavier Cabré, Xavier Ros-Oton, Joaquim Serra,
J. Eur. Math. Soc. 18 (2016), 2971-2998.
Boards and Committees
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Editorial Board member of Rev. Mat. Iberoam. (2024 - present).
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Editorial Board member of Calc. Var. PDE (2020 - 2023).
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Editorial Board member of Nonlinear Analysis (2020 - 2023).
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Editorial Board member of Disc. Cont. Dyn. Syst. A (2023 - present).
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Editorial Board member of Collectanea Mathematica (2021 - present).
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Scientific Committee member of Rev. Acad. Cienc. Ser. A Math. (2022 - present).
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President of the committee of the Catalan Mathematical Olympiad (2020 - present).
Awards
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PI of the ERC Consolidator Grant 'SSNSD' (2024 - 2029)
Awarded amount: 1,682,500€
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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.
The prize, given by the Spanish Government, comes with a monetary award of 30,000€. -
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.
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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€.
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Académico Correspondiente of the Spanish Royal Academy of Sciences
Elected on October 2022. Youngest member of the Academy.
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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.
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Premio FPdGi Investigación Científica 2019 from the Fundación Princesa de Girona
Awarded anually to a young Spanish scientist under 35 years.
The prize is given by the King of Spain, and comes with a monetary award of 20,000€. -
PI of the ERC Starting Grant 'EllipticPDE' (2019 - 2024)
Awarded amount: 1,335,250€
Youngest awardee of ERC Starting Grant 2018 (among all panels in all sciences) -
PI of SNSF Research Project (2018 - 2020)
Awarded amount: 200,000CHF -
Premio Antonio Valle 2017 from the Spanish Society of Applied Mathematics
Award to the best researcher under 34 years. At age 29, I became the youngest winner of the award ever. -
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.
It is the highest distinction given by the RSME, and one of the most important prizes in Mathematics in Spain. - Awarded amount: $103,617
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Premio Vicent Caselles 2015 from the Real Sociedad Matemática Española
Spanish award to the best PhD theses in Mathematics -
Extraordinary PhD Prize from the Universitat Politecnica de Catalunya
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Premi Évariste Galois 2012 from the Societat Catalana de Matemàtiques
Bronze Medal at the International Mathematical Olympiad 2006
Other
- Does one have to be a genius to do maths? (by T. Tao)
- There's more to Mathematics than rigour and proofs (by T. Tao)
- The Value of Science, by R. Feynman