Daniel Peralta-salas
Scientist
Mathematics
Complutense University of Madrid
Spain
Biography
"Daniel Peralta is a member of the ICMAT mainly interested in the interactions between dynamical systems, partial differential equations and differential geometry. He got his PhD at Universidad Complutense in 2006. He has published over 50 papers in some of the best mathematical journals like Annals of Mathematics, Acta Mathematica, Journal of Differential Geometry, American Journal of Mathematics, Advances in Mathematics and Communications in Mathematical Physics. He solved in collaboration with Alberto Enciso (also an ICMAT member), a conjecture on knotted vortex lines in topological fluid mechanics due to V.I. Arnold and H.K. Moffatt, and a conjecture of Lord Kelvin on the existence of thin vortex tubes in stationary solutions to the Euler equations. He will be a plenary speaker at the European Congress of Mathematics that will be held in Berlin in 2016. In 2013 he was awarded a Starting Grant from the European Research Council."
Research Interest
Dynamical Systems; Geometric Theory of Differential Equations; Field Theory and Classical Mechanics; Theory of Foliations.
Publications
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Submanifolds that are level sets of solutions to a second-order elliptic PDE (with A. Enciso). Adv. in Math. 249 (2013) 204-249.
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Knots and links in fluid mechanics (with A. Enciso). Proc. IUTAM 7, 13-20.
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Some geometric conjectures in harmonic function theory (with A. Enciso). Ann. Mat. Pura Appl. 192, 49-59.
