Professor of Geometry and Topology, Department of Mathematics, Statistics and Computational Science, Universidad de Cantabria, and Corresponding Academician of the Real Academia de Ciencias Exactas, Físicas y Naturales (Spain).
Editor-in-Chief of RACSAM, which is the Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales: Serie A: Matemáticas (Madrid) (edited by Springer since 2011). It is a Q1 journal of JCR Science (Mathematics), being 29/330 (2020).
Reviewer of Mathematical Reviews (American Mathematical Society) since 1995, and Reviewer of zbMATH Open (edited by the European Mathematical Society, the Heidelberg Academy of Sciences and Humanities, and FIZ Karlsruhe) since 2021.
I am interested in a wide range of topics around Geometry. First of all, in structures on manifolds, such as complex, paracomplex, quaternionic, symplectic, etc. and in the applications of these ones to Mathematical Physics. I am also interested in Analysis on manifolds: jets bundles, connections, etc., and in metrics on manifolds: semi-Riemannian, neutral, Finsler, etc.
I am author of more than 50 papers published in International Journals, such as Proceedings of the American Mathematical Society, Differential Geometry and Applications, Topology and its Appl., Houston Math. Journal, RACSAM, Acta Math. Hungarica, Publ. Math. Debrecen, Czechoslovak Math. J., Mediterr. J. Math., Atti Sem. Mat. Fis. Modena, Rend. Mat. Appl., Riv. Mat. Univ. Parma, Turkish J. Mathematics, Balkan J. Geom. Appl., Bull. Malaysian Math. Sci. Society, Journal of Geometry and Physics, Journal of Physics A: Mathematical and General, Journal of Mathematical Physics, International Journal of Geometric Methods in Modern Physics, Computer Aided Geometric Design.