I am a CSIC Research Professor and Chair of Differential Geometry and Geometric Mechanics at the Institute of Mathematical Sciences (ICMAT) in Madrid (Spain). Since 2016 I serve as a member of the ICMAT board. My research lines concern the connections and interplay between dynamical systems, partial differential equations and differential geometry. This includes different topics in fluid mechanics, plasma physics, spectral theory, conservative dynamics and geometric analysis.
I am a member of the editorial boards of Revista Matematica Iberoamericana, Journal of Dynamics and Differential Equations, Qualitative Theory of Dynamical Systems and Geometric Mechanics. I am also a member of the scientific advisory board of IMTECH (Institute of Mathematics of UPC-Barcelona Tech.), of the scientific committee of the Royal Mathematical Society of Spain, and an affiliate member of The International Institute for Sustainability with Knotted Chiral Meta Matter (Hiroshima University, Japan).
Contact data
- Instituto de Ciencias Matemáticas
- E-mail: dperalta()icmat.es
- Office: 206
- Phone: [+34] 91 2999746