Here is a summary of all my papers with a brief abstract.

1. Regularity theory for fully nonlinear integro-differential equations.
   Joint work with L. Caffarelli. Submitted.
2. A characterization of optimal two-phase multifunctional composite designs
   Proc. R. Soc. A 463, Number 2086 (2007). The source code of the numerical tests relevant to this paper can be downloaded here.
3. Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
   Inventiones Mathematicae. 171, Number 2 (2008). Joint work with Luis Caffarelli and Sandro Salsa.
4. Regularity for the nonlinear Signorini problem
   Advances in Mathematics. 217, Issue 3 (2008). Joint work with Manolis Milakis.
5. An extension problem related to the fractional Laplacian
   Communications in Partial Differential Equations, 32 (2007) Issue 8, 1245. Joint work with Luis Caffarelli.
6. Issues in homogenization for problems with nondivergence structure.
   
   Lecture notes of Caffarelli's class in the CIME course Calculus of variations and non linear partial differential equations June 2005.
7. Regularity of the obstacle problem for a fractional power of the laplace operator.
   
   Communications on Pure and Applied Mathematics. 60 (2007), no. 1, 67--112.
   This article is based on My PhD Thesis
8. Regularity for fully nonlinear elliptic equations with Neumann boundary data.
   Communications in Partial Differential Equations 31 (2006), No. 8. Joint work with Manolis Milakis.
9. Holder estimates for solutions of integro differential equations like the fractional Laplacian.
   Indiana University Mathematical Journal 55 (2006), 1155-1174.
10. The two membranes problem.
    
    Communications in Partial Differential Equations 30 (2005), no. 1-3, 245--257
11. Weak matrix majorization.
    
    Linear Algebra Appl. 403 (2005), 343--368. joint work with Francisco Martínez Pería and Pedro Massey