Douglas Ulmer

Professor of Mathematics

Associate Head for the Graduate Program

How to contact me:

I am on sabbatical for the academic year 2007-2008 and usually reachable only via e-mail.
In person:	Math 204
By phone:	(520) 621-6861 (office) (520) 621-2068 (grad coordinator) (520) 621-8322 (fax)
By e-mail:	`ulmer@math.arizona.edu`
By mail:	Department of Mathematics University of Arizona Tucson, AZ 85721

Course pages:

Course information for Theory of Graphs and Networks, (Math 443/543), Fall 2006
Some documents from the most recent graduate Integration Workshop
My course archive.

Research pages:

Recent papers:
- Two papers showing that large ranks are ubiquitous over function fields and that small ranks in towers of function fields also occur:
  - L-functions with large analytic rank and abelian varieties with large algebraic rank over function fields. To appear in Inventiones Mathematicae.
  - Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields.
- A survey on Function fields and random matrices for the June 2004 workshop at the Newton Institute. Here are the references.
An annotated list of my publications
Reviews of my articles.
From 1997 through 2006 I was the director of the Southwestern Center for Arithmetical Algebraic Geometry

Etc.:

Slides from a lecture at “Dialog 04” about the Southwestern Center as an example of a large, multi-institutional project that uses NSF funding in innovative and efficient ways.
Slides from a lecture at the October, 2004 meeting of the AMS Committee on Education about Long-term efforts toward VIGRE goals at the University of Arizona.
The main thing I did on my 1997-98 sabbatical.
Subsequent developments in that direction.