Ph.D. (Mathematics) Harvard University, July 2006, advisor: Peter Kronheimer
B.S. (Mathematics), Instituto Superior Tecnico, June 1999
Estimated transversality and rational maps, PhD thesis, Harvard University, June 2006. pdf
Estimated transversality and rational maps, J. Symplectic Geom. 4, no. 2 (2006), 199-236. pdf
Spectral measures on toric varieties and the asymptotic expansion of Tian-Yau-Zelditch, J. Symplectic Geom. 8 (2010), no. 2, 119-142. pdf
Hearing Delzant polytopes from the equivariant spectrum, with Emily Dryden and Victor Guillemin, Trans. Amer. Math. Soc. 364 (2012), 887-91. pdf
Scalar-flat Kahler metrics on non-compact symplectic toric 4-manifolds with Miguel Abreu, Annals of Global Analysis and Geometry 41, Issue 2 (2012), 209-239. pdf
Equivariant inverse spectral problems, with Emily Dryden and Victor Guillemin, Proc. Sympos. Pure Math., 84, Amer. Math. Soc. (2012), 155-166.pdf
Equivariant spectrum on toric orbifolds with Emily Dryden and Victor Guillemin, Adv. Math. 231 (2012), 3-4, 1271-1290. pdf
Spectral theory for toric orbifolds. Bol. Soc. Port. Mat. Special Issue (2012), 79-82.
Simple spectrum and Rayleigh quotients, with Victor Guillemin and Eveline Legendre Contemporary Mathematics, AMS, 2015.
Curvature of scalar-flat Kahler metrics on non-compact symplectic toric 4-manifolds, Differential Geom. Appl. 33 (2014), 149-182. pdf
Semi-classical weights and equivariant spectral theory, with Emily Dryden and Victor Guillemin. pdf
Recovering $S^1$-invariant metrics on $S^2$ from the equivariant spectrum, with Emily Dryden and Diana Macedo .pdf
Toric aspects of the first eigenvalue, with Eveline Legendre. pdf
I organize Geometria em Lisboa the local geometry seminar.
I am organizing the special sessions on Geometric Analysis (with Andre Neves) and on Geometric Spectral Theory (with Emily Dryden) for the AMS-EMS-SPM International meeting that will take place June 10-13 in Porto.