Ana Rita Pires

H. C. Wang Assistant Professor

Department of Mathematics
Cornell University
Room 581
Malott Hall
Ithaca NY 14850

Email: apires(at)math.cornell.edu

Here is my CV.

Research interests:

My research is 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. And I like Delzant polytopes.
I was a graduate student at MIT under Victor Guillemin and I finished my PhD in June 2010.

Teaching at Cornell:

In Spring 2014 I am teaching Math 7620 Seminar in Geometry. We will be focusing on Symplectic Geometry.
In Fall 2013 I taught Linear Algebra (Math 2210), in Spring 2013 Honors Introduction to Analysis I (Math 4130), in Fall 2012 Linear Algebra (Math 2210), in Spring 2012 Math and Politics (Math 1340) and in Fall 2011 Linear Algebra (Math 2210).

Papers:

  • Toric actions on b-symplectic manifolds, with Victor Guillemin, Eva Miranda and Geoffrey Scott. arXiv:1309.1897
  • Topology of toric origami, with Tara Holm (to appear in Mathematics Research Letters).
  • Moduli spaces of toric manifolds, with Álvaro Pelayo, Tudor S. Ratiu and Silvia Sabatini (to appear in Geometriae Dedicata).
  • Symplectic and Poisson geometry of b-manifolds, with Victor Guillemin and Eva Miranda (submitted). arXiv:1206.2020
  • 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:

  • Números, Cirurgias e Nós de Gravata: 10 anos de Seminário Diagonal no IST, editor, with J.P. Boavida, R.P. Carpentier, L. Cruz-Filipe, P.S. Gonçalves, E. Grifo and D. Henriques; IST Press, Lisbon 2012.
  • Seminário Diagonal – Proceedings IST, II, editor, with A. Cannas da Silva, L. Cruz-Filipe, R. Gonçalves, J. Pimentel Nunes, T. Reis, P.M. Resende and J. Silva, Lisbon, 2005.

    Etc.:

  • Notes from a talk on Convexity in Symplectic Geometry: The Atiyah-Guillemin-Sternberg Theorem.

    Teaching elsewhere:

  • In Spring 2011 I made some recitation videos for MIT's OpenCourseWare 18.06 Linear Algebra. You can find them here.
  • In Fall 2010 and Spring 2011 I lead 3 semester-long Math Circle courses for children ages 6 to 8.
  • Spring 2007: Recitation instructor for 18.06, Linear Algebra.
  • Spring 2008: Recitation instructor for 18.06, Linear Algebra.
  • Fall 2008: Grader for 18.101, Analysis and Manifolds.
  • IAP 2010: Recitation instructor for 18.02A-IAP, Multivariable Calculus (second half).
  • Fall 2010: Course administrator and recitation instructor for 18.022, Multivariable Calculus with focus on mathematical concepts.
  • Spring 2011: Recitation instructor for 18.06, Linear Algebra.

    Some links:

    Weekly Seminar Bulletin