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Xavier Ros-Oton

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Xavier Ros Oton
Xavier Ros-Oton
Born1988 (age 35–36)
Barcelona
Alma materUniversitat Politècnica de Catalunya
Awards
Scientific career
FieldsMathematics
Partial Differential Equations
InstitutionsUniversitat de Barcelona
Universität Zürich
University of Texas at Austin
Doctoral advisorXavier Cabré
Other academic advisorsAlessio Figalli
Luis Caffarelli

Xavier Ros Oton (Barcelona, 1988) is a Spanish mathematician[1] who works on partial differential equations (PDEs).[2] He is an ICREA Research Professor and a Full Professor at the University of Barcelona.

Research

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His research is mainly focused on topics related to the regularity of solutions to nonlinear elliptic and parabolic PDE. Some of his main contributions have been in the context of free boundary problems,[3] integro-differential equations,[4] and the Calculus of Variations.[5]

Career

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He earned his Bachelor's and master's degree at the Universitat Politècnica de Catalunya in 2010 and 2011, and completed his PhD in 2014 under the supervision of Xavier Cabré. He then moved to the University of Texas at Austin, where he was an R. H. Bing Instructor, and worked with Alessio Figalli and Luis Caffarelli. After that, he was an assistant professor at the University of Zurich. Since 2020, Ros-Oton is an ICREA Research Professor at the University of Barcelona.

He is a member of the editorial board of scientific journals, including Calculus of Variations and Partial Differential Equations and Collectanea Mathematica.

In October 2022 was elected Académico Correspondiente [6] of the Spanish Royal Academy of Sciences. He is the youngest member of the academy.

Honors and awards

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In 2017, he received both the Rubio de Francia Prize from the Royal Spanish Mathematical Society[7] and the Antonio Valle Prize from the Spanish Society of Applied Mathematics.[8][9] In 2018, he was the youngest PI of an ERC Starting Grant.[10][11] Then, in 2019, he received the Scientific Research Award from the Fundacion Princesa de Girona.[12][13][14][15]

In 2021 he was awarded the Stampacchia Gold Medal[16] in recognition of outstanding contributions to the field of Calculus of Variations.

In 2023 was awarded with the Ferran Sunyer i Balaguer Prize for the book "Integro-Differential Elliptic Equations", with X. Fernandez-Real.[17]

In 2023 the government of China at the International Congress of Basic Science give to him the Frontiers of Science Awards,[18] 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" [19] and "Stable solutions to semilinear elliptic equations are smooth up to dimension 9".[20]

In 2023 was awarded by the Spanish Government with the "Premio Nacional de Investigación para Jóvenes 2023 en Matemáticas y Tecnologías de la Información y las Comunicaciones".[21]

He has been the PI of an ERC Consolidator Grant (2024-2029).[22]

Selected publications

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  • Figalli, A.; Ros-Oton, X.; Serra, J. (2024). The singular set in the Stefan problem. J. Amer. Math. Soc. 37, 305-389.
  • Figalli, A.; Ros-Oton, X.; Serra, J. (2020). Generic regularity of free boundaries for the obstacle problem. Publ. Math. Inst. Hautes Études Sci. 132, 181–292.
  • Cabré, X.; Figalli, A.; Ros-Oton, X.; Serra, J. (2020). Stable solutions to semilinear elliptic equations are smooth up to dimension 9. Acta Math. 224, 187–252.
  • Caffarelli, L.; Ros-Oton, X.; Serra, J. (2017). Obstacle problems for integro-differential operators: regularity of solutions and free boundaries. Invent. Math. 208, 1155–1211.

References

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  1. ^ "Xavier Ros-Oton, el matemático que estudia "las ecuaciones que mueven el mundo"". ABC.es (in Spanish). Madrid, Spain. 13 April 2018.
  2. ^ Chaparro, Laura (21 April 2018). "Entrevista a Xavier Ros-Oton". El Español (in Spanish). Madrid, Spain.
  3. ^ Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim (2020). "Generic regularity of free boundaries for the obstacle problem". Publications Mathématiques de l'IHÉS. 132: 181–292. arXiv:1912.00714. doi:10.1007/s10240-020-00119-9. S2CID 208527386.
  4. ^ Caffarelli, Luis; Ros-Oton, Xavier; Serra, Joaquim (2017). "Obstacle problems for integro-differential operators: regularity of solutions and free boundaries". Inventiones Mathematicae. 208 (3): 1155–1211. arXiv:1601.05843. Bibcode:2017InMat.208.1155C. doi:10.1007/s00222-016-0703-3. S2CID 1072757.
  5. ^ Cabré, Xavier; Figalli, Alessio; Ros-Oton, Xavier; Serra, Joaquim (2020). "Stable solutions to semilinear elliptic equations are smooth up to dimension 9". Acta Mathematica. 224 (2): 187–252. arXiv:1907.09403. doi:10.4310/ACTA.2020.v224.n2.a1. S2CID 198147360.
  6. ^ "Miembro de la Real Academia de Ciencias Exactas, Físicas y Naturales".
  7. ^ "Premio Rubio de Francia RSME 2016". 3 June 2020.
  8. ^ "Premio SEMA Antonio Valle al Joven investigador 2017".
  9. ^ "Premio José Luis Rubio de Francia 2016". 3 June 2020.
  10. ^ "ERC Starting Grant".
  11. ^ "En Xavier Ros-Oton rep una de les ERC Starting Grants d'aquest any" (in Catalan).
  12. ^ "Xavier Ros Oton, 2019 FPdGi Scientific Research Award".
  13. ^ "La Fundación Princesa de Girona concede el Premio de Investigación 2019 al matemático Xavier Ros-Otón". 20minutos (in Spanish). Madrid, Spain. 27 March 2019.
  14. ^ "Xavier Ros-Oton, el matemático que ha recibido el premio Princesa de Girona con un lazo amarillo". LaVanguardia (in Spanish). Barcelona, Spain. 4 November 2019.
  15. ^ Pueyo, Jordi (16 January 2020). "Xavier Ros-Oton: "La política hauria de fer servir el pensament científic"". ElPais (in Catalan). Madrid, Spain.
  16. ^ "International School of Mathematics "Guido Stampacchia"".
  17. ^ "The Ferran Sunyer i Balaguer Prize 2023 edition".
  18. ^ "Frontiers of Science Awards".
  19. ^ "Generic regularity of free boundaries for the obstacle problem" (PDF).
  20. ^ "Stable solutions to semilinear elliptic equations are smooth up to dimension 9" (PDF).
  21. ^ "Premio Nacional de Investigación para Jóvenes 2023".
  22. ^ "Xavier Ros Oton receives European Research Council grant to research key equations for science and engineering". 23 November 2023.
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