**Institution**: Consejo Superior de Investigaciones Científicas

**Position**: ERC

**Office**: 205 **Phone**:+34 912999 745

**E-mail**: aenciso()icmat.es

#### Biographical Review

Alberto Enciso is a permanent member of the Instituto de Ciencias Matemáticas – ICMAT. His research interests include several topics in partial differential equations, fluid mechanics, geometric analysis, dynamical systems and mathematical physics. In particular, recently he has been considering problems about the Euler and Navier-Stokes equations, elliptic equations, spectral theory and wave equations on manifolds.

He has coauthored around 70 research papers, including articles in the Annals of Mathematics, Acta Mathematica, the Journal of Differential Geometry, the Journal of the European Mathematical Society or the Annales Scientifiques de l'Ã‰cole Normale SupÃ©rieure. His results have achieved considerable international visibility, such as his solution, in joint work with Daniel Peralta-Salas, of a 1965 conjecture on knotted vortex lines in topological fluid mechanics due to V. Arnold, of a 1875 conjecture of Lord Kelvin on the existence of thin vortex tubes in steady solutions to the Euler equation, and of a 1993 question of Yau on nodal sets of Laplace eigenfunctions.

Alberto has been awarded the José Luis Rubio de Francia Prize of the Royal Mathematical Society of Spain in 2011, the Antonio Valle Prize of the Spanish Society for Applied Mathematics in 2013, the Prince of Girona Prize for Scientific Research in 2014, and the Barcelona Dynamical Systems Prize in 2015. In 2014 he was also awarded a Starting Grant from the European Research Council. He serves a member of the Scientific Advisory Board of the Spanish Science Agency since 2017 and of the Scientific Committee of the Royal Mathematical Society of Spain since 2015.

#### Research Interest

Partial differential equations, fluid mechanics, geometric analysis, dynamical systems and mathematical physics.