Paul Seidel


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

Teaching

In Fall 2008 I'm teaching 18.950: Differential Geometry. Other classes I've taught at MIT include 18.821 (Project Lab in Mathematics) and 18.979 (Topics in Geometric Topology).

Research

Over the last couple of years, I've spent some time thinking about Lefschetz pencils, Fukaya categories, and mirror symmetry. Here are some papers on the subject:

Research announcements:

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

    • Foundational:

  • Fukaya categories and Picard-Lefschetz theory (European Math. Soc. Publishing House; sold through the American Math. Society here in the US)
  • An open string analogue of Viterbo functoriality (with M. Abouzaid)
  • A_\infty-subalgebras and natural transformations

    • Applications:

  • Exact Lagrangian submanifolds in simply-connected cotangent bundles (with K. Fukaya and I. Smith)
  • Homological mirror symmetry for the quartic surface

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