The City College of New York and The Graduate Center, CUNY .
Geometric Differential Equations
Monge-Ampere Partial Differential Equations
On the existence of local CMC time functions with prescribed time slice. (joint with R. Bettiol and P. Piccione), submitted.
Deformations of free boundary CMC hypersurfaces and applications. (joint with R. Bettiol and P. Piccione), submitted.
Bifurcation of Periodic Solutions to the Singular Yamabe Problem on Spheres. (joint with R. Bettiol and P. Piccione), submitted.
Equivariant deformations of Hamiltonian stationary Lagrangian submanifolds (joint with R. Bettiol and P. Piccione), to appear in Mat. Contemp.
Existence of Kahler Ricci-flat metrics on crepant resolutions,
Commun. Contemp. Math. 16 (2014), no. 3, 1450003.
Holonomy Groups in Riemannian Geometry (joint with A. Clarke).
Publicacoes Matematicas do IMPA [IMPA Mathematical Publications], 2012. 126pp. ISBN: 978-85-244-03466-0.
Fibrations of Genus 2 on complex surfaces
(joint with J. Rebelo). Results Math. 60 (2011), no. 1-4, 369–403.
Introduction to Evolution Equations in Geometry.
Publicacoes Matematicas do IMPA. [IMPA Mathematical Publications] , 2009. 91 pp. ISBN: 978-85-244-0297-5.
On complete Ricci-flat metrics on open Kahler manifolds.
XIV School on Differential Geometry. Mat. Contemp. 30 (2006), 145--168.
On the Asymptotic Expansion of Complete Ricci-flat metrics on Quasi-Projective Manifolds,
J. Reine Angew. Math. 615 (2008).
Here is a copy of my Ph.D. thesis, April 2006.
Collision, explosion and collapse of homoclinic classes
(joint with Lorenzo J Díaz). Nonlinearity 17, 1001-1032 (2004).
Here is a copy of my Master's thesis, August 2001.
Math B3500, Partial Differential Equations 2 , Spring 2015.
Math 709, Differential Geometry 1 , Fall 2014.
Math A3500, Partial Differential Equations 1 , Fall 2014.
Office Hours, Spring 2015: Wednesdays, 5 to 6pm, NAC 4-112 B (CCNY) or by appointment.
CUNY Differential Geometry Seminar.
Mathematics Colloquium, CCNY .
Math Department, The Graduate Center.
Math Department, CCNY.
Math Department, Duke University.
Mathematics Department at
MIT, where I graduated in 2006. My Ph.D. advisor was
Prof. Gang Tian .
Mathematics Department of PUC-Rio,
where I went for my undergrad and masters. My Masters advisor was
Prof. Lorenzo Diaz
The City College of New York
138th St and Convent Avenue, NAC 4/112B
New York. NY 10032
Phone: (212) 650-5165
Last modified: February 10, 2015.