**Preprints**

- Beltrami fields with a nonconstant proportionality factor are rare (with A. Enciso), 13 pp.

- Stationary isothermic surfaces in Euclidean 3-space (with R. Magnanini and S. Sakaguchi), 29 pp.

**Accepted**

- Eigenfunctions with prescribed nodal sets (with A. Enciso). *J. Differential Geom*. to appear.

- Existence of knotted vortex tubes in steady Euler flows (with A. Enciso). *Acta Math*. to appear.

- KAM theory and the 3D Euler equation (with B. Khesin and S. Kuksin). *Adv. in Math.* to appear.

- Critical points and geometric properties of Green’s functions on open surfaces (with A. Enciso). *Ann. Mat Pura Appl*. to appear.

**2013**

- Some geometric conjectures in harmonic function theory (with A. Enciso). *Ann. Mat. Pura Appl.* 192, 49-59.

- Knots and links in fluid mechanics (with A. Enciso). *Proc. IUTAM* 7, 13-20.

- Submanifolds that are level sets of solutions to a second-order elliptic PDE (with A. Enciso). *Adv. in Math*. 249 (2013) 204-249.

- Motion of charged particles in ABC magnetic fields (with A. Luque). *SIAM J. Appl. Dyn. Sys*. 12 (2013) 1889-1947.

- Tying knots in light fields (with H. Kedia, I. Bialynicki-Birula and W.T.M. Irvine). *Phys. Rev. Lett*. 111 (2013) 150404.

- Realization problems in the theory of foliations. Springer Proc. *Math. & Stat*. 54 (2013) 309-323.

**2012**

- Critical points of Green's functions on complete manifolds (with A. Enciso). *J. Differential Geom.* 92, 1-29.

- A note on the first integrals of vector fields with integrating factors and normalizers (with J. Llibre). *SIGMA* 8, 035 (1-9).

- A note on the Liouvillian integrability and the qualitative properties of the mass rate equation for black holes (with J. Giné). *J. Math. Phys. *53, 062701 (1-9).

- Integrable embeddings and foliations (with G. Hector). *Amer. J. Math. 134, 773-825*.

- Existence of inverse integrating factors and Lie symmetries for degenerate planar centers (with J. Giné). *J. Differential Equations 252, 344-357.*

- Knots and links in steady solutions of the Euler equation (with A. Enciso). *Ann. of Math. 175, 345-367*.

- Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds (with A. Enciso). *Trans. Amer. Math. Soc. 364, 4207-4224*.

- Nudos y enlaces en mecánica de fluidos (with A. Enciso). *Gaceta RSME 15, 277-292*.

**2011**

- Campos magnéticos caóticos creados por cables de corriente continua (with J. Aguirre). *Revista Iberoamericana de Física *7, 20-25.

**2010**

- Motion of charged particles in magnetic fields created by symmetric configurations of wires (with J. Aguirre and A. Luque). *Phys. D* 239, 654-675.

**2009**

- Symmetry for an overdetermined boundary problem in a punctured domain (with A. Enciso). *Nonlinear Anal.* 70, 1080-1086.

- Global attractors of analytic plane flows (with V. Jiménez-López). *Ergodic Theor. & Dynam. Sys.* 29, 967-981.

- Critical points and level sets in exterior boundary problems (with A. Enciso). *Indiana Univ. Math. J.* 58, 1947-1969.

- A symmetry result for the p-Laplacian in a punctured manifold (with A. Enciso). *J. Math. Anal. Appl.* 354, 619-624.

- A note on linear differential equations with periodic coefficients (with M. Grau). *Nonlinear Anal.* 71, 3197-3202.

- Existence and vanishing set of inverse integrating factors for analytic vector fields (with A. Enciso). *Bull. London Math. Soc.* 41, 1112-1124.

- Morse theory for vector fields and the Witten Laplacian (with A. Enciso). *AIP Conf. Proc.* 1130, 127-133.

**2008**

- Integrability of magnetic fields created by current distributions (with J. Aguirre and J. Giné). *Nonlinearity* 21, 51-69.

- Period function and normalizers of vector fields in R^{n} with n-1 first integrals. *J. Differential Equations* 244, 1287-1303.

- Morse-type inequalities for dynamical systems and the Witten Laplacian (with A. Enciso). *J. Differential Equations* 244, 2804-2819.

**2007**

- Geometrical and topological aspects of electrostatics on Riemannian manifolds (with A. Enciso). *J. Geom. Phys.* 57, 1679-1696; *ibid.* 58 (2008) 1267-1269.

- Symmetric submersions of R^{n} to R^{m} (with A. Díaz-Cano and F.G. Gascón). *Nonlinear Anal.* 67, 2424-2432.

- Attractors and symmetries of vector fields: the inverse problem (with F.G. Gascón). *J. Math. Anal. Appl.* 335, 789-807.

- Realistic examples of chaotic magnetic fields created by wires (with J. Aguirre). *Europhys. Lett.* 80, 60007(1-6).

- Topological transitions in classical mechanics. In *Nonlinear Phenomena Research Perspectives* (Ed. C.W. Wang), Nova Sci. Publ., New York, 379-395.

**2006**

- On scattering trajectories of dynamical systems (with A. Díaz-Cano and F.G. Gascón). *J. Math. Phys.* 47, 062703(1-10).

- Dynamic Parrondo's paradox (with J.S. Cánovas and A. Linero). *Phys. D* 218, 177-184.

- Note on the Markus-Yamabe conjecture for gradient dynamical systems (with F. Mañosas). *J. Math. Anal. Appl.* 322, 580-586; *ibid* 342 (2008) 1492.

- A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids (with A. Pelayo). *Comm. Math. Phys.* 267, 93-115.

- On the classical and quantum integrability of Hamiltonians without scattering states (with A. Enciso). *Theor. Math. Phys.* 148, 1086-1099.

- Electric fields created by point charges: some geometrical and topological results (with A. Enciso). Proceedings of the XXIV Workshop on Geometric Methods in Physics (Bialowieza, Poland, 2005). Published in *J. Geom. Symmetry Phys.* 5, 14-23.

**2005**

- Can two chaotic systems give rise to order? (with J. Almeida and M. Romera). *Phys. D *200, 124-132.

- Some properties of the magnetic fields generated by symmetric configurations of wires (with F.G. Gascón). *Phys. D* 206, 109-120.

- Note on a paper by J. Llibre and G. Rodríguez concerning algebraic limit cycles. *J. Differential Equations* 217, 249-256.

- Bagpipes configurations in mechanics and electromagnetism (with F.G. Gascón). *Math. Comput. Modelling* 42, 921-930.

**2004**

- Unbounded trajectories of dynamical systems (with F.G. Gascón and A. Pelayo). *Appl. Math. Lett.* 17, 253-259.

- On the construction of global coordinate systems in Euclidean spaces (with F.G. Gascón). *Nonlinear Anal.* 57, 723-742.

- Invariant sets of second order differential equations (with F.G. Gascón). *Phys. Lett. A* 325, 340-354.

- Motion of a charge in the magnetic field created by wires: impossibility of reaching the wires (with F.G. Gascón). *Phys. Lett. A* 333, 72-78.

**2003**

- Escape to infinity under the action of a potential and a constant electromagnetic field (with F.G. Gascón). *J. Phys. A* 36, 6441-6455.

**2001**

- Dynamical systems embedded into Lie algebras (with F.G. Gascón and O.R. Campoamor-Stursberg). *J. Math. Phys.* 42, 5741-5752.

- Ordered behavior in force-free magnetic fields (with F.G. Gascón). *Phys. Lett. A* 292, 75-84.

**2000**

- Symmetries and first integrals of divergence-free R^{3} vector fields (with F.G. Gascón). *Int. J. Nonlinear Mech.* 35, 589-596.

- Escape to infinity in a Newtonian potential (with F.G. Gascón). *J. Phys. A* 33, 5361-5368.

- On the first integrals of Lotka-Volterra systems (with F.G. Gascón). *Phys. Lett. A* 266, 336-340.

- A separation bound for non-Hamiltonian differential equations with proper first integrals (with F.G. Gascón and J. Ruiz). *J. Math. Phys.* 41, 2922-2930.

**1999**

- Limit velocity of charged particles in a constant electromagnetic field under friction (with F.G. Gascón and J.M. Vegas). *Phys. Lett. A* 251, 39-43.

- Instability of vector fields induced by first integrals (with F.G. Gascón). *J. Math. Phys.* 40, 3099-3103.