Ana Rita Pires

### Research interests:

My research is on symplectic geometry, with topics including symplectic embedding problems, folded symplectic structures, origami manifolds, b-manifolds, Delzant polytopes, toric actions.

I have been at Fordham University since 2014/2015. Before that I was a member at the Institute for Advanced Study, a postdoc (H.C.Wang Assistant Professor) at Cornell University, a lecturer at the MIT Math Department, a graduate student at
MIT under the supervision of Victor Guillemin, and an undergrad at Instituto Superior Técnico, in Portugal.

### Teaching right now:

In Fall 2016 I am teaching Calculus I (Math 1206) and Linear Algebra (Math 2006). Both courses have webpages on Blackboard.

Spring 2017: Finite Mathematics (×2) and Abstract Algebra.

Spring 2016: Finite Mathematics (×2) and Calculus II.

Fall 2015: Finite Mathematics and Calculus I.

Spring 2015: Finite Mathematics and Differential Equations.

### Papers:

*The fundamental group and Betti numbers of toric origami manifolds*, with T. Holm, Algebraic and Geometric Topology, 15-4 (2015).
*Convexity for torus actions on b-symplectic manifolds*, with V. Guillemin, E. Miranda and G. Scott; to appear in Mathematics Research Letters.
*Toric actions on b-symplectic manifolds*, with Victor Guillemin, Eva Miranda and Geoffrey Scott, International Mathematics Research Notices 14 (2015).
*Topology of toric origami manifolds*, with Tara Holm, Mathematics Research Letters, 20 (2013) no.5.
*Moduli spaces of toric manifolds*, with Álvaro Pelayo, Tudor S. Ratiu and Silvia Sabatini, Geometriae Dedicata 169 (1), 2014.
*Symplectic and Poisson geometry of b-manifolds*, with Victor Guillemin and Eva Miranda, Advances in Mathematics 264, 864-896, 2014.
*Codimension one symplectic foliations and regular Poisson structures*, with Victor Guillemin and Eva Miranda, Bulletin of the Brazilian Mathematical Society, New Series 42(4), 2011.
*Symplectic Origami*, with Ana Cannas da Silva and Victor Guillemin, International Mathematics Research Notices, no. 18, pp 4252-4293, 2011.
*Origami manifolds*, Thesis dissertation, MIT, 2010.
### Other publications:

Numeros, Cirurgias e Nos de Gravata: 10 anos de Seminario Diagonal no IST, editor, with J.P. Boavida, R.P. Carpentier, L. Cruz-Filipe, P.S. Goncalves, E. Grifo and D. Henriques; IST Press, Lisbon 2012.
Seminario Diagonal - Proceedings IST, II, editor, with A. Cannas da Silva, L. Cruz-Filipe, R. Goncalves, J. Pimentel Nunes, T. Reis, P.M. Resende and J. Silva, Lisbon, 2005.
### Unusual:

A 6-hour topology workshop for high-school teachers at Math for America;
A talk about sphere packing at a bar in Brooklyn for Pint of Science;
A college algebra course at a prison in NJ with the Prison Teaching Initiative;
A course on Math and Politics at Cornell University;
A talk titled "Paper folding geometry: how origami beat Euclid" for the general public or other non-traditional audiences (here in portuguese);
Short videos solving Linear Algebra problems for MIT OpenCourseWare;
Math "classes" for little kids with Math Circle.
### Etc.:

Notes from a long ago talk on *Convexity in Symplectic Geometry: The
Atiyah-Guillemin-Sternberg Theorem*.
Some old syllabi: graduate seminar in Symplectic Geometry at Cornell, Honors Introduction to Analysis I at Cornell, Analysis and Manifolds at MIT.

### Some links:

CUNY Graduate Center Differential Geometry Seminar
Columbia University Symplectic Geometry, Gauge Theory, and Categorification Seminar
Princeton University - Institute for Advanced Study Symplectic Geometry Seminar