Douglas Ulmer

Chair, School of Mathematical Sciences
Professor and Head, Department of Mathematics
University of Arizona
Tucson, AZ 85721-0089

Recent research

I have been thinking about the Torelli locus $M_{g} ↪ A_{g}$ (the image of the moduli space of curves in the moduli space of principally polarized abelian varieties) and how it interacts with the Newton and Ekedahl-Oort stratifications of $A_{g}$ . In the first of three planned papers, Bryden Cais and I study unramified $Z / p Z$ covers of curves $Y \to X$ and look at how the $p$ -torsion of the Jacobian of $Y$ is related to that of $X$ . The preprint is available as arxiv:2307.16346.

Students

I have projects for students at several levels. For the last few years, I have enjoyed working with advanced undergraduates on semester-length projects in number theory and related areas. I'd also be happy to talk with graduate students about projects in number theory and algebraic geometry ranging from a quick MS with good prospects for a paper to more substantial PhD projects.

Contact

The fastest and most reliable way to reach me is via e-mail at ulmer@math.arizona.edu. To make an appointment, please contact my colleagues Alejandra (Ali) Gaona (520-621-2868, agaona@math.arizona.edu) or Aubrey Mouradian (520-621-2713, aubreymouradian@math.arizona.edu).

Etc.

My short CV.

email: ulmer@math.arizona.edu

phone: 520-621-2868

offices: Math 109 & ENR2 S311