Degree in mathematics from Universitat de Barcelona (1995) and PhD in mathematics from Universitat Autònoma de Barcelona (2001). Post-doctoral stage at Université de Bourgogne (2001-2002). Temporal position at Universitat Autònoma de Barcelona (1995-2006) and a permanent one from 2006 until now.

My research focuses on the theory of differential equations in the complex domain. I have worked in three main lines:

a) analytic and topological invariants of singular holomorphic foliations in the complex plane,

b) description and classification of the set of global singular foliations on the complex projective plane fulfilling a Zariski  closed property as being convex, Galois or having a flat dual web,

c) bifurcation of critical periodic orbits in families of real centers in the real projective plane.

• Singularities
• Ordinary Differential Equations
• Holomorphic Foliations
• Webs

• Invariantes locales y globales en geometría, PGC2018-095998-B-I00, 2019-2021
• Laboratori d’Interaccions entre Geometria, Àlgebra i Topologia, 2017SGR1725, 2017-2019
• Estructuras geométricas, MTM2015-66165-P, 2016-2018 (Co IP)
• Variedades complejas, dinámica holomorfa y singularidades, MTM2011-26674-C02-01, 2012-2014 (IP)
• Variedades complejas, dinámica holomorfa y singularidades, MTM 2008-02294, 2009-2011 (IP)
• Grup consolidat de geometria diferencial, 2009SGR1207, 2009-2013

• S. Bedrouni, D. Marín, Convex foliations of degree 5 on the complex projective plane, Publicacions Matemàtiques 65 (2021), 409-429
• D. Marín, J. Villadelprat, Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: general setting, Journal of Differential Equations 275 (2021) 684-732
• D. Marín, J.-F. Mattei, E. Salem, Topological moduli space for germs of holomorphic foliations, International Reseach Mathematics Notices 2020, 9228-9292
• A. Beltrán, M. Falla, D. Marin, M. Nicolau, Foliations and webs inducing Galois coverings, IMRN 2016, 3768-3827
• D. Marín, M. Nicolau, A priori L^2-error estimates for approximations of functions on compact manifolds, Mediterranean Journal of Mathematics 12 (2015), 51-62
• D. Marín, J.V. Pereira, Rigid Flat webs on the projective plane, Asian J. of Math. 17 (2013), 163-192
• D. Marín, J.-F. Mattei, Monodromy and topological classification of germs of holomorphic foliations. Annales Scientifiques ENS 45 (2012), 405-445
• P. Mardesic, D. Marín, J. Villadelprat, The period function of quadratic reversible centers, J. Differential Equations (2006), 120-171
• D. Marín, Moduli spaces of germs of holomorphic foliations in the plane, Commentarii Math. Helv. 78 (2003), 518-539