Ana Rita Pires

Ana Rita Pires

Assistant Professor of Mathematics

Department of Mathematics
Fordham College at Lincoln Center
Room 817F
Lowenstein Hall
New York NY 10023

Email: apissarrapires(at)

Mailing address:
113 W 60th St Room 813
New York, NY 10023

Here is my CV.

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.


  • 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.


  • 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.


  • 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