David Ruiz (Lucena, Córdoba, 1976) obtained his doctorate degree in 2002 from the University of Granada, although half of his PhD thesis was carried out in the Université Catholique de Louvain La Neuve (Belgium). During the academic year 2006/07 he was Ricercatore at the Scuola Internazionale Superiore di Studi Avanzati (SISSA, Trieste, Italy), and afterwards he moved back to Granada with a position of Associate Professor. In 2019 he obtained his upgrade to Full Professor in this University.
David Ruiz works in Nonlinear Analysis and Elliptic PDE's that arise in Physics and Geometry, more specifically: - Nonlinear models in Quantum Mechanics for the study of Bose-Einstein condensates (like the Gross-Pitaevskii equation, the Choquard equation, etc.). - Geometric conformal PDE’s appearing from curvature prescription problems. These PDE’s are also relevant in some models in Physics like the Electroweak Theory and the Chern-Simons-Higgs theory.
- Overdetermined nonlinear elliptic problems. These are boundary value problems where the domain is also an unknown, and they show remarkable analogies (and some differences too) with the theory of minimal surfaces.
David Ruiz has been the Principal Investigator of two National Research Projects, and has participated in many Spanish and Italian projects. He has advised two PhD students so far and is currently supervising another two. David Ruiz is the author of more than 40 research publications which have received more than 1900 citations so far according to Scopus. He belongs to the editorial board of the journal Advanced Nonlinear Studies (2018-) and he was also editor of the Journal of the Korean Mathematical Society (2019-2020).