Ana Rita Pires

H. C. Wang Assistant Professor of Mathematics
581 Malott Hall
(607) 255-4892
apires@math.cornell.edu

Ph.D. (2010) Massachusetts Institute of Technology

Research Area

symplectic geometry

My research focuses on symplectic geometry, more specifically the kind that involves hamiltonian group actions on symplectic manifolds. I have been working on folded symplectic structures, in particular origami manifolds, and venturing into Poisson geometry via the study of b-manifolds.

Selected Publications

Symplectic origami (with A. Cannas da Silva and V. Guillemin), International Mathematics Research Notice 18 (2011), 4252–4293.

A note on codimension one symplectic foliations and regular Poisson structures (with V. Guillemin and E. Miranda), Bulletin of the Brazilian Mathematical Society, New Series 42 no. 4 (2011).

Symplectic and Poisson geometry of b-manifolds (with V. Guillemin and E. Miranda), submitted.

Moduli spaces of toric manifolds (with Á. Pelayo, T. S. Ratiu and S. Sabatini), submitted.