José A. Capitán's Lab
Mathematics, Ecology, and more
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Alberto Megías, Assistant ProfessorAlberto is Assistant Professor in the Department of Applied Mathematics at Universidad Politécnica de Madrid, and a member of the Complex Systems Group at the same institution. He has a background in both Physics and Mathematics, and obtained his Ph.D. in Physics from Universidad de Extremadura in 2023 with a thesis titled “Influence of Roughness on the Dynamical Properties of Granular Gases.” His research interests lie in the fields of statistical physics and complex systems, approached from theoretical and simulation perspectives, with a particular focus on the kinetic theory of granular gases, the development of machine learning techniques for enhanced sampling in molecular dynamics simulations of biophysical systems, and the mathematical and statistical-mechanical modeling of ecological communities. |
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Vicente J. Ontiveros, Postdoctoral researcherVicente is an ecologist specializing in the temporal dynamics of ecological communities. His research integrates theoretical ecology with computational methods to investigate biodiversity patterns and species turnover. He is the developer and maintainer of the R package island, which applies models inspired by the Theory of Island Biogeography to estimate colonization and extinction rates from ecological time series data. By combining field data, statistical modeling, and ecological theory, Ontiveros seeks to understand community assembly processes and biodiversity maintenance. |
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Pablo García, Graduate studentPablo is a mathematical physicist, linguist and logician currently pursuing a Ph.D. in Applied Mathematics (Complex Systems) in the Universidad Politécnica de Madrid. He is also a Teaching Assistant at the Department of Applied Mathematics, Universidad Politécnica de Madrid. He holds a M.Sc. in Logic from Universidad de Salamanca, a M.Sc. in Mathematical Physics and a B.Sc. in Physics (both from Universität Leipzig, Germany), and a B.A. in Modern Languages from Universidad Complutense de Madrid. His research and work have spanned quantum field theory, computational astrophysics, AI interpretability, and completeness in formal languages. He is currently working on his Ph.D. (jointly supervised by Fabio Revuelta and José A. Capitán) in dynamical systems, investigating new methods to test chaos measurability, with applications in stochastic population dynamics. His interests lie in finding bridges and patterns between the disciplines of his aforementioned education and background. |