Dan Edidin's Web Page
Research
C.V.
Papers on Stacks
Notes on the construction of the moduli space of curves
An introduction to stacks from the point of view of moduli
of curves. This article appeared in the Proceedings of the 1997
Bologna Conference on Intersection Theory (G. Ellingsrud, W. Fulton,
S. Kleiman and A. Vistoli, eds.), Birkhauser (2000).
Characterization of Deligne-Mumford stacks
A detailed corrected proof of Theorem 2.1 of "Notes on the construction
of the moduli space
of curves", characterizing DM stacks as those stacks which
have unramified diagonal and a smooth cover by a scheme. Another proof
appears in the book "Champs algebriques" by Laumon and Moret-Bailly
(Theorem 8.1).
What is a stack?
This very brief introduction appeared in the "What is..." column
of the Notices of the AMS, April 2003.
Equivariant algebraic geometry and the cohomology of the moduli space
of curves
In this expository article we give a functorial definition of the
integral cohomology ring of a stack. We show that for quotient stacks
this cohomology can be identified with equivariant cohomology.
Our focus is on the stacks of smooth and stable curves. This will
appear in the forthcoming Handbook of Moduli edited by G. Farkas and I.
Morrison.