معرفی
Rafael Orive Illera is an Associate Professor in Applied Mathematics at the Autonomous University of Madrid (UAM) since 2006. He obtained his doctorate from UAM (2003) under Enrique Zuazua and another PhD from the University of Chile under Carlos Conca, focusing on asymptotic analysis and homogenization. His research bridges classical mathematical analysis with modern machine learning techniques.
- Education: PhD in Mathematics (UAM, 2003), Master in Applied Mathematics (Universidad Complutense, 1999), Bachelor in Mathematics (Universidad Complutense, 1997).
Research interests: His work spans differential equations, asymptotic analysis, numerical analysis, and machine learning. He actively applies these to problems in homogenization, spectral theory, and data-driven modeling.
Publications and trends: Recent articles highlight his interdisciplinary approach, combining neural ordinary differential equations (Neural ODEs) with control theory for classification tasks (2025) and revisiting homogenization in perforated waveguides (2023). His work emphasizes spectral gaps, stability analysis, and computational methods in partial differential equations.
- Honors:
- Juan de la Cierva fellowship (CSIC, 2004-2006)
Affiliations: He has been a member of the Institute of Mathematical Sciences (ICMAT) since its founding in 2007, contributing to its mathematical research agenda.
