FQM377: Differential Equations. Control Theory. Orthogonal Polynomials

ORCID ID 0000-0003-4478-4524

She finished her degree in Mathematics at the University of Salamanca on 07/24/1995 and on October 16, 1995 She was hired as a full-time Associate Professor at the University of Cádiz (UCA). This contract ended on 12/25/1997, after obtaining a position as Associate Professor of the University School. Since 05/05/2004 she is a tenured Professor at the University. During these years she taught subjects in the area of Mathematical Analysis, mainly in the Bachelor and Master degrees in Mathematics at the UCA. She has participated in 37 courses and seminars of improvement, innovation and teacher improvement, being the principal investigator of an innovation project awarded on 03/07/2013 and a member of five others. She supervised 6 last-year degree students’ projects and 12 master thesis in Mathematics.
Secretary of  the Mathematics department,  from 12/23/2012 until 01/16/2020. Since 01/10/2012 She is coordinator of master projects in Mathematics ; member of the corresponding commission of the Faculty of Sciences since 03/19/2013; member of the academic commission of the Doctoral Program in Mathematics since 03/25/2019; member of the  the quality assurance commission of the Doctoral Program in Mathematics since 12/01/2016.  
Her research activity began with the completion of the courses of the Pure and Applied Mathematical PhD program at the University of Salamanca, which ended in 1997. That same year, she defended the first Bachelor's Thesis of the Department of Mathematics at the UCA, under the supervision of Dr. Juan Luis Romero. It was the beginning of her research activity in the theory of groups of symmetries in the study of differential equations. She defended my doctoral thesis, also directed by Dr. Romero, on 03/24/2000 at the University of Salamanca. It introduces the concept of λ-symmetry (or C∞-symmetries), giving rise to a new research line with a great internationally impact since its inception. Since then, She has published a total of 55 papers, 37 in journals published in the JCR / SCI, 2 papers in non-indexed journals, and 18 contributions in books, including contributions to congresses published in prestigious editorials and all of them with external evaluation. Part of these results have been presented in 51 international conferences.
As a result of the research activity, 3 periods of six years have been granted by the National Commission for the Evaluation of the Research Activity, (CENAI) corresponding to the periods 1996-2001, 2002-2007 and 2008-2013. She has been part of several scientific teams with 11 projects funded by competitive calls of regional or national scope since 1999. She was a member of the PAIDI Research Group FQM-201 from 08/19/1997 until 12/17/2013, date in which she joined the Research Group PAIDI FQM-377, being the responsible since 04/19/2018. Since 2015, She has participated as a researcher in 8 collaboration contracts (OTRI) between companies and the University of Cádiz. She is currently one of the two main researchers of the national project PGC2018-101514-B-I00.
She is organized and taught formative activities on λ-symmetries in the Doctorate in Mathematics during the last four academic years and She has supervised two doctoral theses on the subject. Both students are beneficiaries of highly competitive grants (FPU15 / 02872 and UCA-AUIP agreement).