David Glickenstein

Department of Mathematics
University of Arizona
617 N Santa Rita
P.O. Box 210089
Tucson, AZ 85721
Phone: (520) 621-2463
Fax: (520) 621-8322
Office: Math 715
Email: glickenstein@math.arizona.edu

Book

I recently completed two book with B. Chow, S.-C. Chu, C. Guenther, J. Isenberg, T. Ivey, D. Knopf, P. Lu, F. Luo, and L. Ni: The Ricci Flow: Techniques and Applications. Part I: Geometric Aspects and The Ricci Flow: Techniques and Applications. Part II: Analytic Aspects in the AMS Mathematical Surveys and Monographs series.

Research

My research is concerned with geometry and geometric flows. This includes work on Ricci flow, discrete versions of the heat equation, curve shortening flow, and discrete Riemannian manifolds. I am also interested in Delaunay triangulations and their generalizations. If you are interested, I have been working on an introduction to my work intended for the nonmathematician. It is still a work in progress and still in its early stages. (In fact, it is really just a summary of some geometry right now, and possibly outdated.) Please let me know if and when you find mistakes.

You may find links to my research papers at ArXiv and MathSciNet.

Teaching

This semester (Fall 2009) I am on sabbatical.

Previous course webpages:

Software

Seminars

(Old) Seminar Notes

Here are some notes on Kahler geometry: Here are my notes from the physics seminar lecture on the Legendre Transform. Here are my notes for estimates on the metric tensor: Here are some calculations about the Greens function on compact Riemannian manifolds:

Conferences

I recently organized the following conferences and special sessions:

Mathematical Preprints, Libraries, and Finding Books

Here's a copy of a paper I wrote (in LaTex) on Lyapunov Stability of ODEs for an honors seminar at Cornell: A Brief Overview of Lyapunov Stability for Ordinary Differential Equations.

Mathematics Links

Computing Resources

Other Resources

Math Humor and Fun

I am nerdier than 84% of all people. Are you nerdier? Click here to find out!
If you want, check out my (very outdated) personal page.
Partially funded by NSF CAREER grant DMS-0748283.
glickenstein@math.arizona.edu

Last updated September 29, 2009