Möbius Transformations Revealed
Möbius Transformations Revealed is an award-winning short film by Doug Arnold and myself which has been viewed over 1.8 million times on YouTube alone. We originally created it for the 2007 Science and Engineering Visualization Challenge, sponsored by the NSF and Science Magazine. It has been featured in a number of articles and websites, including:
- 2007 Science and Engineering Visualization Challenge Winners (NSF)
- Science Magazine writeup of the contest (direct link to slideshow)
- Science News Online (Math Trek)
- SIAM News
- All Things Considered, Minnesota Public Radio
It's also been featured on Boing Boing, generated a press release, and been mentioned on various blogs. A 10-second clip of the movie is included in the film Achieving the Unachievable, a documentary about M.C. Escher's Print Gallery.
Go to the movie download page to watch the film and for more links to press coverage.
Selected Publications and Presentations
- Mathematical Visualization
Journal of Math Education at Teachers College, 2011
[ Link to Journal Page ], [ Direct PDF Link ]
- Möbius Transformations Revealed. (With Doug Arnold)
Notices of the AMS, Nov 2008
- Historical Perspectives on a Program for Mathematically Talented
Students (With Harvey Keynes)
11th International Congress on Mathematical Education, 2008
- Constructing Mathlets Quickly using LiveGraphics3D (With Martin
Journal of Online Mathematics and its Applications (Now Loci), 2006
Last, but not least...
If I were a Springer-Verlag Graduate Text in Mathematics, I would be William S. Massey's A Basic Course in Algebraic Topology.
I am intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized.
Which Springer GTM would you be? The Springer GTM Test
(As it happens, I am a direct mathematical descendant of Bill Massey; my advisor, Don Kahn, was a student of Massey's at Yale.)