Rosa Sena-Dias

Department of Mathematics

Instituto Superior Tecnico

Av. Rovisco Pais, 1049-001 Lisboa, Portugal

Email: rsenadias*at*math.ist.utl.pt


Education

Ph.D. (Mathematics) Harvard University, July 2006, advisor: Peter Kronheimer

B.S. (Mathematics), Instituto Superior Tecnico, June 1999


Research

Publications

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

Preprints

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


Local Activities

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.


Teaching

Spring 2011/12

Fall 2011/12