Xavier Ros Oton (

Barcelona Barcelona ( , , ) is a city on the coast of northeastern 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 ci ...

, 1988) is a Spanish mathematician who works on

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...

s (PDEs). He is an

ICREA ICREA, Catalan Institution for Research and Advanced Studies, is a foundation jointly promoted by the Catalan Government through its Department of Innovation, Universities and Enterprise, and the Catalan Foundation for Research and Innovation (FCRI) ...

Research Professor and a Full Professor at the

University of Barcelona The University of Barcelona ( ca, Universitat de Barcelona, UB; ; es, link=no, Universidad de Barcelona) is a public university located in the city of Barcelona, Catalonia, in Spain. With 63,000 students, it is one of the biggest universities i ...

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 The Technical University of Catalonia ( ca, Universitat Politècnica de Catalunya, , es, link=no, Universidad Politécnica de Cataluña; UPC), currently referred to as BarcelonaTech, is the largest engineering university in Catalonia, Spai ...

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 research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 ...

, 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 calculus of variations and partial differential equations. He was awarded the Prix and in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the ...

and

Luis Caffarelli Luis Angel Caffarelli (born December 8, 1948) is an Argentine mathematician and luminary in the field of partial differential equations and their applications. Career Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of S ...

. After that, he was an assistant professor at the

University of Zurich The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 f ...

. Since 2020, Ros-Oton is an

Research Professor at the

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

Calculus of Variations and Partial Differential Equations Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", 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 arithm ...

and Collectanea Mathematica. On 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 mathemat ...

. 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 the In ...

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 The Ferran Sunyer i Balaguer Prize is a prize in mathematics, first awarded in 1993. It honors the memory of Ferran Sunyer i Balaguer (1912–1967), a self-taught Catalan mathematician who, despite a serious physical disability, was very active ...

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".

Selected publications

*Figalli, A.; Ros-Oton, X.; Serra, J. (2021). ''The singular set in the Stefan problem''. preprint arXiv:2103.13379. *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. *Barrios, B.; Figalli, A.; Ros-Oton, X.; (2018). ''Free boundary regularity in the parabolic fractional obstacle problem''. Comm. Pure Appl. Math. 71, 2129-2159. *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. *Ros-Oton, X.; Serra, J. (2016). ''Boundary regularity for fully nonlinear integro-differential equations''. Duke Math. J. 165, 2079-2154.

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
1988 births Living people European Research Council grantees 21st-century Spanish mathematicians Scientists from Barcelona Polytechnic University of Catalonia alumni {{Europe-mathematician-stub