Dear Ms Portet My name is José Luis Teruel Carretero and I am a PhD student at the Departament of Geometry and Topology of the University of Granada. I am working here in my PhD thesis in the field of Geometric Analysis. The topics studied in the Summer School are much related to my current research work, in which I am investigating the behavior of complete surfaces which have extrinsic curvature bounded from above by a negative constant and they satisfy certain Geometric PDEs, as the Monge-Ampére equation. I thank the institute Clay for the possibility to apply for a grant to attend the advanced course on Conformal Geometry and Geometric Analysis organized by CRM for the next summer. Thereby I want to ask for a grant to attend those courses, because it would be quite useful for my mathematical training and for my future research work. Yours sincerely, José Luis Teruel Carretero.