Research
interests:

Algebraic Geometry, Singularity Theory,
Commutative Algebra, Algebraic Foliations, Coding
Theory

Publications:

(With C. Galindo) The cone
of curves associated to a plane configuration, Commentarii
Mathematici Helvetici 80 (2005), 75-93

(With C.
Galindo) On the cone of curves and of line bundles of a
rational surface, International Journal of Mathematics 15 no.
4 (2004), 393-407

(With C. Galindo) The total
coordinate ring of a smooth projective surface, Journal of
Algebra 284 no. 1 (2005), 91-101

(With C. Galindo)
Algebraic integrability of foliations of the plane, Journal of
Differential Equations, 231 no. 2 (2006), 611-632.

Curves
having one place at infinity and linear systems on rational
surfaces, Journal of Pure and Applied Algebra 211 no. 3
(2007), 685-701

(With C. Galindo) On the
characterization of algebraically integrable plane foliations,
Transactions of the American Mathematical Society 362, No. 9
(2010) 4557-4568.

(With C. Galindo) Delta-sequences
and evaluation codes defined by plane valuations at infinity,
Proceedings of the London Mathematical Society 98 no.3 (2009),
714-740.

(With A. Campillo and G. González-Sprinberg)
Configurations
of infinitely near points, Sao Paulo Journal of
Mathematical Sciences 3 no. 1 (2009), 115-160.

(With
C. Galindo) The Poincaré series of multiplier ideals of a
simple complete ideal in a local ring of a smooth surface,
Advances in Mathematics 225 (2010), no. 2,
1046-1068.

Lins-Neto's examples of foliations and the
Mori cone of blow-ups of P^2, Bulletin of the London
Mathematical Society 43 (2011), no. 2, 335-346.

Fibers
of pencils of curves on smooth surfaces, International Journal
of Mathematics 22 (2011), no. 10, 1433-1437.

(With C. Galindo) Finite families of plane valuations: value semigroup, graded algebra and Poincaré series. Contemporary Mathematics 516 189-212 (2012).

(With C. Galindo) The Abhyankar-Moh theorem for plane valuations at infinity, J. Algebra 374 (2013), 181-194.

(With F. Hernando and G. McGuire) On the classification of exceptional planar functions over F_p, Geom. Dedicata 173 (2014), 1–35.

(With C. Galindo) The Poincaré problem, algebraic integrability and dicritical divisors. J. Differential Equations 256 (2014), no. 11, 3614–3633.

(With C. Galindo) Evaluation codes defined by finite families of plane valuations at infinity. Des. Codes Cryptogr. 70 (2014), no. 1-2, 189–213.

(With A. Ferragut and C. Galindo) A class of polynomial planar vector fields with polynomial first integral. Journal of Mathematical Analysis and Applications, 430 (2015), 354-380.

(With C. Galindo and F. Hernando) The log-canonical threshold of a plane curve. Mathematical Proceedings of the Cambridge Philosophical Society 160.3 (2016), 513-535.

(With C. Galindo) The cone of curves and the Cox ring of rational surfaces given by divisorial valuations. Advances in Mathematics, 290 (2016) 1040-1061