 | Douglas Ulmer Professor and Head |  |
Department-related news
(April 23, 2019) I was pleased to announce today that Chris Henderson and Xueying Tang will be joining our faculty in the Fall as tenure-track assistant professors.
(April 16, 2019) Our super-talented event coordinator Aubrey Mouradian was presented with the College of Science Staff Excellence Award by Dean Ruiz. The award recognizes that Aubrey as “someone who performs her duties with an extraordinary degree of pride and reliability, someone who always comes through, and someone who goes the extra mile.” Congratulations Aubrey!
(April 4, 2019) The University recognized Professor Jim Cushing's 50 years of service today. He is the longest serving member of our faculty and is still very active.
(April 4, 2019) The 11th Daniel Bartlett Memorial Lecture entitled “Get in the GAME” was delivered by Tim Chartier of Davidson College. The topic was sports analytics, a field Tim makes widely accessible. He held a follow-up Q&A session with our students the next day.
(April 1, 2019) Today Professor Joceline Lega received the Provost's Award for Excellence in Post-doctoral mentoring. Remarkably, she was nominted by 21 (!) of the post-docs in our program for her excellent work developing a professional development program for these young scholars.
Recent research
- Richard Griffon and I studied the arithmetic of a family of twisted-constant elliptic curves over function fields, showing among other things that the Tate-Shafarevich group exhibits interesting behavior: In all cases we study it is large (as measured by the Brauer-Siegel ratio), but it may be a p-group (p = the characteristic) or it may have order prime to p. Read the preprint for more details.
- I have been thinking about algebraic approaches to Hindry's Brauer-Siegel ratio for abelian varieties over function fields and have written a paper which will appear in Algebra and Number Theory. It turns out that many of the results of Hindry and Pacheco and Griffon, originally proven using analytic techniques, can also be obtained by purely algebraic methods, casting new light on this circle of ideas.
- I led a group of eight participants at a recent AIM workshop on a project to write down higher genus analogues of the Legendre curve and prove results similar to those in my papers 2014a, 2014c, and 2014d. We've completed a long paper (131 pages!) which is in press at the Memoirs of the AMS.
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 |
