Estos son algunos de mis trabajos recientes:

1.   Minimal surfaces with positive genus and finite total curvature in H^2xR (con Rafe Mazzeo y Magdalena Rodríguez). Preprint 2011.
   

2.   Properly embedded area minimizing surfaces in hyperbolic three space (con B. White). Preprint 2011.
   

3.   Calabi-Yau domains in three manifolds (con W. H. Meeks III). Aparecerá en American J. of Math. Preprint mathDG/0906.4638.
   

4.   Non simply connected minimal planar domains in H^2xR (con Magdalena Rodriguez). Preprint 2011.
   

5. Existence of proper minimal surfaces of arbitrary topological type (con L. Ferrer y W. H. Meeks III). Preprint http://arxiv.org/abs/0903.4194.
   

6. Calabi-Yau problem for L-surfaces and its applications (con M. Umehara and K. Yamada). Preprint, 2010.
   

7. The Calabi-Yau problem in three manifolds. Talk given in Kloster Benediktbeuern, July 6, 2009.
   

8. Complete bounded holomorphic curves immersed in C^2 with arbitrary genus (con M. Umehara y K. Yamada). Proc. Amer. Math. Soc. 137 (2009), 3437-3450.
   

9. Complete bounded null curves immersed in C3 and SL(2,C) (con M. Umehara y K. Yamada). Calculus of Variations and PDE’s, (2009) 36:119-139 DOI10.1007/s00526-009-0226-5.
   

10. Density theorems for complete minimal surfaces in R3 (con A. Alarcón y L. Ferrer). Geometric and Functional Analysis (GAFA), Vol. 18, Number 1 (2008) 1-49.
    

11. Density theorems and applications. Proceedings of the workshop "Progress in surface theory". Oberwolfach April 29th - May 5th, 2007. 
    

12. A Jordan curve spanned by a complete minimal surface (con N. Nadirashvili). Arch. Ration. Mech. Anal. 184(2) (2007), 285-301. http://dx.doi.org/10.1007/s00205-006-0023-7
    

13. A uniqueness theorem for the singly periodic genus-one helicoid (con A. Alarcón y L.Ferrer). Trans. A.M.S. 359(6) (2007), 2819-2829.
    

14. Bounded domains which are universal for minimal surfaces (con W. H. Meeks III y N. Nadirashvili).  American Journal of Math., 129(2) (2007), 455-461.