The qualification to be verified is linked to the current Doctoral Official Programme in Mathematics, which is a joint doctoral programme of the UPV and the UV. This doctoral programme has its background in the Official Postgraduate Studies in Mathematics (adapted to the Royal Decree 56/2005) of 21 January, which regulates the official postgraduate studies), with Master’s Degree and Doctoral Studies, approved by Resolution of 26 March 2007 of the University and Higher Education Directorate General of the Valencian Government (DOCV of 9 May 2007) and distinguished with Quality Award by the Ministry of Education and Science, updated for the academic years 2008/2009 until 2010/2011 (Resolution of 20 October 2008, BOE No. 273 of 12 November 2008). This postgraduate programme emerged, in turn, from the fusion of the third-cycle Inter-department Programme of Mathematics of the UV (with the participation of the Departments of Algebra, Mathematical Analysis, Geometry and Topology and Applied Mathematics) and of the Doctoral Programme in Multidisciplinary Mathematics of the UPV (being the Department of Applied Mathematics its academic responsible structure), both with quality awards.