Paul Seidel

(and Ilaria)

Email: seizdel@mazth.mit.edu with both z removed
(sorry for that - a primitive line of defense against spam)
Mail address: MIT Room 2-270, 77 Massachusetts Avenue, Cambridge, MA 02139

Curriculum vitae

here.

Teaching

In Fall 2009 I'm teaching 18.821: Project Lab in Mathematics, as well as 18.969: Topics in Geometry. In the past, I've taught 18.116 (Riemann surfaces), 18.821 (Project Lab in Mathematics), 18.950 (Undergraduate Differential Geometry) and 18.979 (Topics in Geometric Topology). Next year I'll teach 18.01 (Single variable Calculus).

Advising

If you're one of my undergraduate advisees, I've collected some of my usual suggestions here.

Research

Over the last couple of years, I've been mostly thinking about Lefschetz pencils, Fukaya categories, and mirror symmetry. Below are links to some preprints. I'm also putting up pieces of code that I've written from time to time (this is embarrassingly ad hoc, and for the most part barely working).

Research announcements, surveys:

  • Vanishing cycles and mutation
  • More about vanishing cycles and mutation
  • Symplectic homology as Hochschild homology

    • Foundational:

  • Fukaya categories and Picard-Lefschetz theory. Sold in the Americas through the AMS bookstore, and in Europe by the publisher, the EMS publishing house
  • An open string analogue of Viterbo functoriality (with M. Abouzaid)
  • A_\infty-subalgebras and natural transformations

    • Applications to symplectic geometry:

  • Lefschetz fibrations and exotic symplectic structures on cotangent bundles of spheres (with M. Maydanskiy)
  • Exact Lagrangian submanifolds in simply-connected cotangent bundles (with K. Fukaya and I. Smith)

    • Applications to homological mirror symmetry:

  • Suspending Lefschetz fibrations, with an application to Local Mirror Symmetry
  • Homological mirror symmetry for the genus two curve
  • Homological mirror symmetry for the quartic surface

    • Code:

  • genustwo.py Python 3.0 code for my paper on the genus two curve
    		•