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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.
Here is my long CV.
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is a layman's introduction to geometry intended for the nonmathematician (this is an old project that may be partly outdated.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 
(site not up-to-date)
During summer 2010, I ran the Arizona Summer
Program, a research program for undergraduates sponsored by
UA's VIGRE grant.
Teaching
Old course webpages (newer are on D2L):
- Fall 2015: Math 413/513:
Linear Algebra
- Spring 2015: Math 322:
Mathematical Analysis for Engineers
- Fall 2014: Math 443/543: Theory of
Graphs and Networks
- Fall 2013-Spring 2014 - Math 537AB:
Global Differential Geometry
- Fall 2013- Math 129: Calculus II
- Spring 2013- Math 323: Formal Reasoning
and Writing
- Fall 2012 - Math 443/543: Theory of
Graphs and Networks
- Fall 2012 - Math 125: Calculus I
- Fall 2011-Spring 2012, Math 537AB: Global Differential Geometry
- Fall 2011, Math 129: Calculus II
- Fall 2010, Spring 2011: Math 534A/B:
Geometry and Topology
- Fall 2010: Math 125: Calculus I
- Spring 2010, Math 323: Formal Reasoning
and Writing
- Spring 2009, Math 538: Ricci flow and the
Poincare conjecture
- Fall 2008, Math 443/543: Theory of Graphs
and Networks
- Fall 2008 Math 129: Calculus II (Honors)
- Spring 2008,
Math 322: Mathematical Analysis for Engineers
- Fall 2007, Math 537A: Global
Differential Geometry
- Spring 2007, Math 538: Circle packing
and discrete analytic functions
- Fall 2006, Math 422/522: Advanced
Applied Analysis
- Fall 2006, Math 129: Calculus II
- Fall 2005, Spring 2006, Math 537AB:
Global Differential Geometry
- Spring 2004, Math 129: Calculus II
(Honors)
- Fall 2003, Math 124: Calculus I
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
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Last updated August 19, 2024