**Institution**: Consejo Superior de Investigaciones Científicas

**Position**: ERC

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

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

#### Biographical Review

Alberto Enciso is an ERC Researcher at the Instituto de Ciencias Matemáticas – ICMAT. His research interests lie at the boundary between analysis and geometry, and includes several topics in partial differential equations, geometric analysis, dynamical systems and mathematical physics. In particular, recently he has been considering problems in fluid mechanics, 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 and the Journal of Differential Geometry. His results have achieved considerable international visibility, such as his solution, in joint work with Daniel Peralta-Salas, of a conjecture on knotted vortex lines in topological fluid mechanics due to V. Arnold and K. Moffatt, and of a conjecture of Lord Kelvin on the existence of thin vortex tubes in steady solutions to the Euler equation.

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.

#### Research Interest

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