I am interested in the mathematical modeling and data analysis of problems from any discipline, from physics or engineering, as well as from the social and life sciences. We find especially attractive those problems that allow them to be studied from the point of view of complex networks, graph theory, and applied mathematical analysis.
(1) Analysis and Applied Mathematics. I am mainly in the study of linear dynamics, lineablity, and in the study of fractional dynamics. In this line, I am collaborating with C. Lizama (GAFEVOL), M. Murillo-Arcila, and J.B. Seoane-Sepúlveda.
(2) Biomedical Data Analysis. I am currently collaborating with the BDSLab (ITACA) on the following topics: Glioblastoma Modelling, the Design of apps for collecting patient information to feed predictive models, and data quality of medical records repositories.
(3) Diffusion process and nonlinear phenomena. I am analyzing the structure and behavior of optimization algorithms that, in their configuration, use tensor products and their connections with Quantum Computing. I collaborate with Antonio Falcó (ESI Chair at Universidad Cardenal Herrera).
(4) AI for Social Good. I have been proud member of the Data Science against COVID-19 Task Force, led by Nuria Oliver (Ellis Alicante). We have specialized in outbreak modeling and predicting the evolution of COVID-19 pandemics via Recurrent Neural Networks. Recently, I have been collaborating with Sergio Hoyas and Ricardo Vinuesa on the application of LLMs in Sustainability.
(5) Mathematical Modeling in Biology. I am working in plants with Diego Orzáez Lab (IBMCP) and at the cellular level with Guillermo Rodrigo (I2SysBio). I am a member of the Prometeo project RNABreed.
(6) Communication networks & Graph Theory in Image Processing. I have been working on spreading phenomena in communication networks with Grupo de Redes de Computadores (GRC Group) with Juan Carlos Cano, Pietro Manzoni, Carlos T. Calafate, and Enrique Hernández-Orallo.
(7) Modelling in Industrial Engineering. I work in signal processing to detect failures in electrical machines & energy efficiency problems with Jose A. Antonino (Instituto Tecnología Energética) and Pedro Fernández de Córdoba (IUMPA)
(8) Complex Systems. I am interested in applications to any discipline of network science. I am also working in data visualization of Science Maps in collaboration with E. Orduña and M. Rebollo.
(9) Mentoring and Outreach. Finally, I am interested on mentoring programs at universities for first years and in outreach activities.
You can also check my publications at Publons, SCOPUS, ORCID, and ResearchGate.
I am editor of the following journals
- Axioms (I.F. 19 in 2024).
- Mathematics (I.F. 2.3 in 2024).
- Open Mathematics (I.F. 1.0 in 2024).
- Research in Mathematics (I.F. 1.1 in 2024).
- Results in Engineering (I.F. 6.0 in 2024).