Xavier Ros Oton (

Barcelona Barcelona ( ; ; ) is a city on the northeastern coast of Spain. It is the capital and largest city of the autonomous community of Catalonia, as well as the second-most populous municipality of Spain. With a population of 1.6 million within c ...

, 1988) is a Catalan mathematician who works on

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

s (PDEs). He is an ICREA Research Professor and a Full Professor at the

University of Barcelona The University of Barcelona (official name in ; UB), formerly also known as Central University of Barcelona (), is a public research university located in the city of Barcelona, Catalonia, Spain. It was established in 1450. With 76,000 students, ...

Research

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, integro-differential equations, and the calculus of variations.

Career

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 The University of Texas at Austin (UT Austin, UT, or Texas) is a public university, public research university in Austin, Texas, United States. Founded in 1883, it is the flagship institution of the University of Texas System. With 53,082 stud ...

, where he was an R. H. Bing Instructor, and worked with

Alessio Figalli Alessio Figalli (; born 2 April 1984) is an Italian mathematician working primarily on the calculus of variations and partial differential equations. He was awarded the Peccot-Vimont Prize and the Peccot Lectures in 2012, the EMS Prize in 201 ...

and

Luis Caffarelli Luis Ángel Caffarelli (; born December 8, 1948) is an Argentine-American mathematician. He studies partial differential equations and their applications. Caffarelli is a professor of mathematics at the University of Texas at Austin, and the win ...

. After that, he was an assistant professor at the

University of Zurich The University of Zurich (UZH, ) is a public university, public research university in Zurich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 from the existing colleges of the ...

. Since 2020, Ros-Oton is an ICREA Research Professor at the

. He is a member of the editorial board of scientific journals, including ''

Calculus of Variations and Partial Differential Equations Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of ...

'' and '' Collectanea Mathematica''. In October 2022 was elected Académico Correspondiente of the

Spanish Royal Academy of Sciences The Spanish Royal Academy of Sciences (Spanish: ''Real Academia de Ciencias Exactas, Físicas y Naturales'') is an academic institution and learned society that was founded in Madrid in 1847. It is dedicated to the study and research of mathematic ...

. He is the youngest member of the academy.

Honors and awards

In 2017, he received both the Rubio de Francia Prize from the

Royal Spanish Mathematical Society The Royal Spanish Mathematical Society ( Spanish: ''Real Sociedad Matemática Española'', RSME) is the main professional society of Spanish mathematicians and represents Spanish mathematics within the European Mathematical Society (EMS) and th ...

and the Antonio Valle Prize from the Spanish Society of Applied Mathematics. In 2018, he was the youngest PI of an ERC Starting Grant. Then, in 2019, he received the Scientific Research Award from the Fundacion Princesa de Girona. In 2021 he was awarded the Stampacchia Gold Medal 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. In 2023 the government of China at the International Congress of Basic Science give to him the Frontiers of Science Awards, 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". 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". He has been the PI of an ERC Consolidator Grant (2024-2029). In 2025 was awarded by the

Executive Council of Catalonia The Executive Council of Catalonia () or the Executive Government of Catalonia (Catalan: ) is the executive branch of the Generalitat of Catalonia and its main collective decision-making body. It is responsible for the political action, regul ...

(Fundació Catalana per a la Recerca i la Innovació) with the "Premi Nacional de Recerca al Talent Jove 2024".

Selected publications

*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

External links

Xavier Ros-Oton at the University of Barcelona

Xavier Ros-Oton at Google Scholar

Xavier Ros-Oton at ICREA Community

Xavier Ros-Oton at ORCID Community
{{DEFAULTSORT:Ros-Oton, Xavier 1988 births Living people European Research Council grantees 21st-century Spanish mathematicians Scientists from Barcelona Polytechnic University of Catalonia alumni