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.

---

R^{esearch topics}

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

---

---

P^re-prints



The space of phylogenetic mixtures of equivariant models, joint work with Marta Casanellas and Anna Kedzierska (2011) arXiv: 1110.0920

Is the general time-reversible model bad for molecular phlogenetics?, joint work with Jeremy Sumner, Peter Jarvis, Bodie Kaine, Michael Woodhams and Barbara Holland (2011) arXiv: 1111.0723


P^ublications


Algebraic Statistics for Computational Biology

Lie Markov models, J. Theor. Biol. 298 (2012), 16-31 (joint work with Jeremy Sumner and Peter Jarvis)

Relevant phylogenetic invariants of evolutionary models, J. Mathématiques Pures et Appliquées, 96 (2011), 207-229 (joint work with Marta Casanellas)

Invariants, una aproximació a la filogenètica des de l'àlgebra, Butlletí de la Societat Catalana de Matemàtiques 25 n.2 (2010) 145-169 (in catalan)

Reconstrucción filogenética usando geometría algebraica, to appear in ARBOR, ciencia, pensamiento, cultura (in spanish) (joint work with Marta Casanellas) 

Geometry of the Kimura 3-parameter model, Adv. in App. Math. 41 (2008), 265-292 (joint work with Marta Casanellas) 
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
Some simulations... here
SIAM News: "Algebraic Geometers see Ideal Approach to Biology" by B. A. Cipra pdf


Algebraic geometry and Commutative Algebra

On adjacent complete ideals above a given complete ideal. Proc. Roy. Soc. Edinburgh. Sect. A 140A (2010) 225-2239 (joint work with Maria Alberich-Carramiñana)

Principality of curves on sandwiched singularities, Math. Res. Lett. 17 (2010) 11-26 pdf

On the exceptional locus of the birational projections of a normal surface singularity into a plane, J. Algebra 321 (2009) 2461-2473 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