Research

RESEARCH INTERESTS
 
 Differential Geometry, Partial Differential Equations.


PUBLICATIONS

 1.  Non-negative Ricci curvature on closed manifolds under Ricci flow. Proc. Amer. Math. Soc. 139 (2011), no. 2, 675 - 685.
 2.  On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian. Calc. Var. PDE. to appear. (Joint with F. Charro, G. De Philippis and A. Di Castro)
 3.  On the blow-up of four-dimensional Ricci flow singularities. J. Reine Angew. Math. to appear. 
 4.  Hawking mass and local rigidity of minimal two-spheres in three-manifolds. Comm. Anal. Geom. to appear. (Joint with I. Nunes)


TALKS & INVITATIONS

 - Third Workshop on Differential Geometry. Maceió, Alagoas, Brazil, invited for March 2013.
 - Southeast Geometry Seminar. University of Tennessee, Knoxville, invited for December 2012.
 - Conference on Optimal Transportation and Differential Geometry. Banff, Canada, May 2012.
 - Geometry Seminar. Stanford University, May 2012.
 - Geometry Seminar. IMPA, Brazil, June 2011.
 - Geometry Seminar. Stanford University, April 2010.
 - Colloquium. Universidade Federal do Ceara. Fortaleza, Brazil, January 2010.
 - GADGET Seminar. University of Texas at Austin, June 2009.