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David Glickenstein
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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geometry right now, and possibly outdated.)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.
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.
Teaching
This semester (Fall 2010) I am teaching :
Previous course webpages:
- 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
Seminars
(Very 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
- History of Math Links
- FreeTranslation.com
- The
best automated translator I've seen out there.
- Babelfish - another
online translator. I don't like it as much, but it is named after an
object in The Hitchhiker's Guide to the Galaxy, so it's got
that going for it. Which is nice.
Math Humor and Fun
If you want, check out my (very outdated) personal
page.
Last
updated August 23, 2010