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 (since 2019) , which is the Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales: Serie A: Matemáticas (Madrid) (edited by Springer). It is a Q1 journal of JCR Science (Mathematics): 56/325 (2019), 29/330 (2020), 26/332 (2021).
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 Amer. Math. Soc., Differential Geometry and Appl., Topology and its Appl., Houston Math. Journal, RACSAM, Acta Math. Hungarica, Publ. Math. Debrecen, Czechoslovak Math. J., Carpathian Journal of Math., Mediterr. J. Math., Atti Sem. Mat. Fis. Modena, Rend. Mat. Appl., Riv. Mat. Univ. Parma, Turkish J. Mathematics, Hacettepe Journal of Math. and Stat, Balkan J. Geom. Appl., Bull. Malaysian Math. Sci. Society, Journal of Geometry and Physics, Journal of Physics A: Math. and General, Journal of Math. Physics, International Journal of Geometric Methods in Modern Physics, Computer Aided Geometric Design.