modeling nature from nano to macro
STAFF / COLLABORATOR RESEARCHER
Óscar Sánchez is an associate professor at the Applied Mathematics Department (AMD) at the University of Granada (UGR). After several contracts and fellowships at the University Carlos III
of Madrid and UGR, in 2003 he presented his PhD thesis, which addressed mathematical models originated in semiconductor theory and gravitational dynamics. Since then he has been working
in the AMD of the UGR and has visited several research centres such as the University of Paris IX (CEREMADE), Pompeu Fabra University and the Centre for Molecular Biology "Severo Ochoa"
His research is focused on Differential Equations, specifically on their analysis and modeling applications. He has dealt with a wide variety of mathematical equations in several fields: hyperbolic partial differential equations, flux-limited operators, dynamical systems motivated by models in quantum, classical/relativistic kinetic and biological systems. This work requires the use of very different mathematical techniques: non-convex functional optimization, quantitative analysis of solutions to differential equations, limits of discrete models, dynamical systems, numerical analysis, mathematical modeling, etc. The mathematical character of his work has been enriched by cross interactions with researchers of other areas such as Astrophysics and Biology. In consequence, his publications are indexed in a wide number of categories such as Mathematics, Applied Mathematics, Mathematics-Interdisciplinary applications, Multidisciplinar Physics, Mechanics, Mathematical-Physics, Condensed Matter and Biology. All his publications and preprints are regularly posted on the publications webpage of the research group on PDE's in Kinetic Theory, Quantum-Kinetics, Fluid Mechanics and Developmental Biology he is involved in. Recently, his interest has been centred on the development of mathematical tools for the analysis of galactic components and on the modeling of morphogenic processes in embryonic development.
Currently his teaching activities are mainly involved in the Mathematics and Biology degrees and in the masters program on Physics & Mathematics (FisyMat). He teaches mathematical modeling and numerical methods at undergraduate and post-graduate levels. Also he has collaborated in the last few years with international post-graduate schools and workshops. He has (co-) supervised one PhD student and is currently supervising other one