Manuel Enrique
Mañas BAENA

My fields of research are Mathematical Physics and Applied Mathematics. In particular, I have a relevant activity in the theory of Integrable Systems, in the field of Orthogonal Polynomials and also in Special Functions Theory. Recently, I have also investigated Random Walks and Markov chains beyond birth and death. Other research interests range from the application of the Riemann—Hilbert problem in the characterization of non Abelian Painlevé discrete equations, to the use of the Gauss—Borel factorization of semi-infinite Gram matrices for the finding of Christoffel and Geronimus formulas in different extended orthogonalities. I have studied orthogonalities in the following flavors: discrete, matrix, multivariate, mixed multiple and Sobolev.The link between new integrable systems or families of solutions and these orthogonal systems has been also an important subject of my studies. I have coauthored 119 scientific publications, 91 of them are articles in JCR journals (of which 51 in Q1). I have published in scientific journals such as Advances in Mathematics (4), Inverse Problems (3), Communications in Mathematical Physics, International Mathematics Research Notices, Journal of Nonlinear Sciences, Bulletin of Mathematical Sciences (1) , Studies in Applied Mathematics (5), Publications of the RIMS, Journal of Mathematical Analysis and Applications (3), Linear Algebra and its Applications, Analysis and Mathematical Physics (2), Letters in Mathematical Physics, Physica D: Nonlinear Phenomena (3), Physics Letters B (8) and Journal of Physics A (20). I am Academic Editor of two scientfic jounals: Mathematics and Symmetry. Currently, I am leader of a Spanish National Plan project and have lead another two Spanish National Plan projects, all in the Mathematics area. I have been researcher of 6 international research projects and member of 10 Spanish national projects. I have made a total of 45 contributions in international research congresses and also 34 research seminars at different universities.I have been visiting professor at the following centers: Johannes Kepler Linz University (Austria), University of Averio (Portugal), University of California at Berkeley (USA), Tsinghua University (Beijing, China), China University of Mining and Technology (Beijing , China), Université Catholique de Louvain (Belgium), SISSA-International School for Advanced Studies in Trieste (Italy), Isaac Newton Institute of the Cambridge University (United Kingdom), La Sapienza, Universitá di Roma (Italy) ) and Leeds University (United Kingdom). I have supervised 3 PhD theses and and nowadays I am supervising 2 more. I have organized R & D & I activities, such as international scientific conferences. I have supervised 7 Master Thesis, 7 Bachelor Thesis, 2 academically directed projectst and I have been responsible for 30 teaching groups, all of them in the area of ​​Mathematical Physics and Mathematics. I am also the author of two teaching manuals on Differential Equations, I have participated in 5 teaching innovation projects and I have been, for four years, an evaluator of the educational innovation projects of the Autonomous University of Madrid. Likewise, I have helped in pre-university orientation and collaborated in university entrance exams: 2 times as a member, 3 times as deputy secretary and 8 times as vice president of different venues. I have organized 6 meetings on the European Higher Education Area, I have 2 publications on European convergence and I have given 9 presentations on university teaching. I participated, from the area of ​​Theoretical Physics, in the work group of the Faculty's study plan to elaborate the current plan of the degree in Physics of the UCM. Finally, I have participated in the executive committee of MiriadaX, a MOOC platform, promoted by Universia.