Juan Diego Alvarez Roman

Juan Diego Alvarez Roman is an Associate Professor in the Department of Mathematics at Carlos III University of Madrid (UC3M), and Director of the F.Abril Martorell College. His academic role includes leadership in both education and research.

Research interests focus on numerical methods and their biomedical applications, particularly inverse problems in cardiac modeling, medical imaging (e.g., optical tomography, microwave screening), and computational techniques like radial basis functions (RBF) and level-set methods. Projects include the LocMoTIC initiative for cardiac arrhythmia localization and collaboration on 3D imaging of biological tissues.

Recent work emphasizes RBF-based numerical methods for differential operators and applications in cardiac ischemia localization. His articles span applied mathematics, biomedical engineering, and computational physics.

• Grants: Principal investigator in LocMoTIC (2010-2013), and collaborator in projects like 'Clustering Automático de Comportamientos de Invertebrados en Libertad' (2021-2025) and 'Imagen óptica 3D ultrarrápida' (2016-2020).
• Patents: System/method for cardiac electrical activation reconstruction (2014).
• Teaching: Involved in undergraduate/postgraduate programs at UC3M's Department of Mathematics.

Labs/Teams: Member of the Numerical Methods and Applications research group and affiliated with the Gregorio Millán Barbany University Institute for Modelling and Simulation.