Research interests:

• Computational geometry (Delaunay triangulations, pseudo-triangulations)
• Discrete and combinatorial geometry (oriented matroids, triangulations of convex polytopes)
• Real algebraic geometry (topology of real algebraic plane curves, decomposition of polynomials in sums of squares)

Some news about his his work in the media:

• El Diario Montañes, 27/05/2010
El País, 26/05/2010