Publications:

• (with T. Wannerer) Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3.
  Calculus of Variations and Partial Differential Equations, Vol. 54, No. 2, 1767-1791, 2015.


• (with E. Saorín Gómez) How do difference bodies in complex vector spaces look like? A geometrical approach.
  Communications in Contemporary Mathematics, Vol. 17, No. 4, 1450023, 32 pp., 2015.


• Minkowksi valuations in a 2-dimensional complex vector space.
  International Mathematics Research Notices, Vol. 2015, No. 5, 1247-1262, 2015.


• (with E. Gallego) Convexity on Complex Hyperbolic Space.
  Journal of Convex Analysis, Vol. 20, no. 2, 329-338, 2013.


• Difference bodies in complex vector spaces.
  Journal of Functional Analysis, Vol. 263, no. 11, 3588-3603, 2012.


• (with A. Reventós and C.J. Rodríguez) What did Gauss read in the Appendix ?
  Historia Mathematica, Vol. 39, no. 3, 292-323, 2012.


• (with E. Gallego and G. Solanes) Gauss-Bonnet theorem and Crofton type formulas in complex space forms.
  Israel Journal of Mathematics, Vol. 187, 287-317, 2012.


• (with A. Bernig) Projection bodies in complex vector spaces.
  Advances in Mathematics, Vol. 227, no. 2, 830-846, 2011.


• Average of mean curvature integral in complex space forms.
  Advances in Geometry, Vol. 11, no. 3, 445-464, 2011.

Preprints:

• (with A. Colesanti and E. Saorín Gómez) Replacing covariance by inequalities in classifying Minkowski valuations.
  
  
• (with E. Saorín Gómez) The role of the Rogers-Shephard inequality in the characterization of the difference body.
  
  
• (with H. Ahn, S. Bae, O. Cheong, S. Dann, D. Park und C. Shin) Minimum convex container of two convex polytopes under translations. Submitted.

Works in Progress:

• Lp-Complex Intersection Bodies.

Master Thesis:

• CH^n: l'espai, els convexos i l'infinit (in Catalan).  Universitat Autònoma de Barcelona, June 2006. 

PhD Thesis:

• Integral geometry in complex space forms. Universitat Autònoma de Barcelona, November 2009.
  
  Versió en català.     English version.

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