Institution: UAM
Position: Catedrático de Universidad
Office: 306
Phone: +34 912999 766
Email: daniel.faraco@uam.es
About:
I conducted my PhD thesis at the University of Helsinki, under the direction of Prof. Kari Astala, on quasi-conformal functions, calculus of variations and their application to material science. Motivated by this last aspect I joined S. Müller's group at the Max-Planck Institute for Applied Mathematics in Leipzig. After my postdoctoral stay I obtained a Ramón y Cajal scholarship and joined the Universidad Autónoma de Madrid (UAM), where I am a associate professor of applied mathematics since 2008.
In 2012 I was granted with an ERC CONSOLIDATOR "Geometric function theory, Inverse Problems and fluid dynamics", ended in 2018. Currently I lead the UAM Node of Quamap (ERC Advanced Grant), the UAM Node of Agapi 2018-2021 and the group of inverse problems and mechanics of the UAM. I have also been involved in the three "Severo Ochoa" accreditations awarded to the Institute of Mathematical Sciences (ICMAT), being a guarantor and currently a member of its executive committee.
I have directed three PhD thesis and more than 10 long term postdoctoral researchers. In the teaching section, topics of interest for final degree and master's work are described. Those interested please contact: daniel.faraco@uam.es. Job application calls are regularly opened at the UAM.
Although my scientific interest has changed over time, it has always lied at the intersection between mathematical analysis and applied mathematics. Applied problems with a strong theoretical component or theoretical problems with a potential use in applications. Quasi-conformal mappings are particularly dear to me, which on the one hand investigate how many of the beautiful ideas of complex analysis can be extended to less rigid functions and, on the other hand, constitute a sufficiently regular class of elastic deformations to be handled with mathematical technical analysis.
Although quasi-conformal mappings emerge in practically every aspect of my research, there are three topics that interest me fundamentally: calculation of vector variations and non-linear elasticity, the inverse problems and the study of turbulence in fluid mechanics.
