Email: rsenadias*at*math.ist.utl.pt
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, Adv. Math. 299 (2016), 202-246. pdf
Recovering $S^1$-invariant metrics on $S^2$ from the equivariant spectrum, with Emily Dryden and Diana Macedo, Int. Math. Res. Not. IMRN (2016), no. 16, 4882-4902.pdf
Toric aspects of the first eigenvalue, with Eveline Legendre, J. Geom. Anal. 28 (2018), no. 3, 2395-2421. pdf
Critical Kahler toric metrics for the invariant first eigenvalue, Math. Res. Lett. Vol. 26 no.3 (2019), 851-873. pdf
Uniqueness among scalar-flat Kahler metrics on non-compact toric 4-manifolds, JLMS 103 (3) (2021), 72-397. pdf
Minimal Lagrangian tori and action-angle coordinates, with Goncalo Oliveira, Trans. Amer. Math. Soc. 374 (2021), 7715-7742. pdf
Scalar-flat Kahler metrics with varying cone angle singularities along a divisor, with Goncalo Oliveira, Proc. Amer. Math. Soc. 153 (2025), no. 1, 331-339. pdf
Einstein metrics via Derdzinski duality, with Goncalo Oliveira, J. of Geom. Anal., 35 (2025) (5):151.pdf
Hermitian, Ricci-flat toric metrics on non-compact surfaces a la Biquard-Gauduchon, with Goncalo Oliveira, accepted for publication in Annales de l'Institut Fourier.pdf
I organize Geometria em Lisboa the local geometry seminar.