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
