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David Glickenstein
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Professional
I am currently the Associate Head for the Graduate Program and
Director of Graduate Studies for the Mathematics
Graduate Program at UA.
I have a blog about Graduate School in Mathematics: Math
Graduate School.
Research
My research is concerned with geometry, geometric flows, and data science. This
includes work on Ricci flow, discrete versions of the heat equation,
curve shortening flow, discrete Riemannian manifolds, graph theory drawing, and deep neural networks.
Some of my recent collaborative projects are:
I was a co-editor of a Special Issue on Mathematical Fundamentals of Machine Learning in Frontiers in Applied Mathematics and Statistics.
Here is a layman's introduction to geometry intended for the nonmathematician (this is an old project that may be partly outdated.
You may find links to my research papers at ArXiv, MathSciNet, Google Scholar, and Scopus. NSF grants can be found here
I conceived and co-designed Puzzles,
Proofs, and Patterns: Experience the World of Mathematics,
an exhibit at the Flandrau Science Center in
Tucson, AZ that I spearheaded through my NSF grant.
I run the Geometric
Evolutions
On
Computational
Abstract Manifolds (GEOCAM) project 
During summer 2010, I ran the Arizona Summer
Program, a research program for undergraduates sponsored by
UA's VIGRE grant.
Software
Books
I am a coauthor of four books 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, The
Ricci Flow: Techniques and Applications. Part III:
Geometric/Analytic Aspects, and The
Ricci Flow: Techniques and Applications. Part IV:
Long-Time Solutions and Related Topics in the AMS
Mathematical Surveys and Monographs series. |
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Mathematics Links
Math Humor and Fun
Funded by
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Last updated November 11, 2025