C^{urrent position}

I am currently a tenure-track lecturer (professor lector) at the Departament de Matemàtica Aplicada I de la Universitat Politècnica de Catalunya.

Former positions
Postdoctoral research fellow Juan de la Cierva at the Departament Matematica Aplicada I de la Universitat Politècnica de Catalunya.

"Professor ajudant" at the Departament Àlgebra i Geometria de la Universitat de Barcelona.

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R^{esearch topics}

Singularities. Algebraic Geometry
Integrally Closed Ideals. Commutative Algebra
Algebraic Statistics. Computational Biology. Phylogenetics

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P^ublications

Algebraic geometry and Commutative Algebra

Principality of curves on sandwiched singularities, to appear in Math. Res. Lett. (2009) pdf On the exceptional locus of the birational projections of a normal surface singularity into a plane, to appear in J. Algebra (2009) pdf Equisingularity classes of birational projections of normal singularities to a plane, Adv. in Math. 216 (2007) 753-770 (joint work with Maria Alberich-Carramiñana) pdf Factorization of complete ideals in birational extensions in dimension two J. Algebra 314 (2007) 344-361 pdf

Factorization of adjacent complete ideals, Proc. Roy. Soc. Edinburgh. Sect. A 137A (2007) 913-921 pdf

Some results relating to adjacent ideals in dimension two, J. Pure Appl. Algebra 207 (2006) 387-396 pdf

Equivalence of the Nash conjecture for primitive and sandwiched singularities, Proc. Amer. Math. Soc. 133 (2005) 677-679 pdf

Nash families of smooth arcs on a sandwiched singularity Math. Proc. Cambridge. Philos. Soc. 138 (2005) 117-128 pdf

On sandwiched singularities and complete ideals, J. Pure Appl. Algebra 185 (2003) 165-175 pdf



Algebraic Statistics for Computational Biology

Geometry of the Kimura 3-parameter model, Adv. in App. Math. 41 (2008), 265-292 (joint work with Marta Casanellas) pdf Some simulations... here SIAM News: "Algebraic Geometers see Ideal Approach to Biology" by B. A. Cipra pdf Performance of a new invariants method on homogeneous and non-homogeneous quartet trees, Mol. Biol. Evol. 24 (2007) 288-293 (joint work with Marta Casanellas) pdf