Institution: CSIC
Position: Profesor de Investigación
Office: 205
Phone: +34 912999 745
Email: aenciso@icmat.es
About:
Alberto Enciso is a CSIC Research Professor at the Instituto de Ciencias Matemáticas – ICMAT. His research interests are in analysis, partial differential equations and dynamical systems. A significant part of his work revolves around geometric questions in partial differential equations, especially in fluid mechanics and in spectral theory.
He has coauthored around one hundred papers, including articles in the Annals of Mathematics, Acta Mathematica, Duke Mathematical Journal, the Journal of Differential Geometry, JEMS and the Annales Scientifiques de l’École Normale Supérieure. Many of his results have attracted considerable international attention, such 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 and K. Moffatt (1965), of a conjecture of Lord Kelvin on the existence of thin vortex tubes in steady solutions to the Euler equation (1875), of a 1993 problem of S.T. Yau on the nodal set of Laplace eigenfunctions or a 2001 conjecture of Sir Michael Berry about eigenfunctions of Schrödinger operators. Among his best results one can also mention the proof of the uniqueness and convexity of singular traveling waves for the Whitham equation and the development of a global approximation theory with decay for linear PDEs.
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 first edition of the Barcelona Dynamical Systems Prize (2015). He is a double ERC grantee: in 2014 and 2019, respectively, he was awarded a Starting and a Consolidator Grant from the European Research Council. He has been an invited or plenary speaker in around 60 conferences and delivered around 50 seminars and colloquia. He has served in a number of scientific advisory boards, such as those of the Spanish Science Agency and of the Royal Mathematical Society of Spain, and is a corresponding member of the Spanish Academy of Sciences.