Eva Miranda and Xavier Tolsa elected to the Royal Academy of Sciences

The plenary of Spain’s Royal Academy of Exact, Physical and Natural Sciences has elected Eva Miranda (UPC, CRM) a corresponding academic in the area of Geometry and Topology. The appointment, announced on 3 June, follows the election of Xavier Tolsa (ICREA, UAB, CRM) to the same Mathematics section a month earlier.

Miranda is a full professor at the UPC, where she directs the Laboratory of Geometry and Dynamical Systems. Her research lies in symplectic and contact geometry and in dynamical systems. In recent years it has extended to fluid mechanics: with Robert Cardona, Daniel Peralta-Salas and Francisco Presas, she constructed solutions to Euler’s equations capable of simulating a universal computer, establishing that some questions about the behaviour of such flows are undecidable. The result answered a problem posed years earlier by Cristopher Moore. In July she will receive the inaugural Agnes Szanto Medal, a new mid-career award from the Foundations of Computational Mathematics society, at its 2026 conference in Vienna.

Tolsa is an ICREA research professor at the UAB. His field is harmonic analysis and geometric measure theory. His characterisation of the sets removable for bounded analytic functions resolved the Painlevé problem, open since the nineteenth century, and in 2025 he settled a higher-dimensional case of a conjecture of Lennart Carleson. He set out this work at the Academy on 2 June, in a scientific session titled “Quantitative rectifiability, singular integrals and the Dirichlet problem”. He received the Premio Nacional Julio Rey Pastor in 2024 and will give a plenary lecture at the International Congress of Mathematicians in Philadelphia later this year.

The Royal Academy of Sciences was founded in 1847 and advises the Spanish government on scientific matters. Its membership is capped at 72 numerary and 144 corresponding academics, distributed across three sections. Miranda and Tolsa enter the Mathematics section from different parts of the subject, one working in geometry and dynamics, the other in analysis.

Read more →

• La RAC incorpora a Eva Miranda y Federico Morán como académicos correspondientes (RAC, 3 June 2026)
• Cuatro destacados investigadores refuerzan la RAC (RAC, 7 May 2026)

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Xavier Tolsa, scientific session at the Royal Academy of Sciences, “Rectificabilidad cuantitativa, integrales singulares y el problema de Dirichlet” (2 June 2026)