Contact Information

Email is always the best way to get ahold of me.

• Email: rogness@math.umn.edu
• Phone: 612-625-2861
• Office: Vincent Hall 4.
• Mailbox: Vincent Hall 107.
• Mailing Address: 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455

Möbius Transformations Revealed

Lo-Res YouTube Version Full Version

Möbius Transformations Revealed is an award-winning short film by Doug Arnold and myself which has been viewed by over 1.3 million times on YouTube alone. 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.

Mathematical Visualization

I create visualizations for use both inside and outside of the classroom. If you'd like to develop similar materials, Martin Kraus and I have written an article describing how to use his LiveGraphics3D applet to construct interactive applets.

• Mathlets: master list of applets I've written for use in various classes.
• Vector Calculus: a collection of interactive applets and Mathematica notebooks for use in a Multivariable Calculus and Vector Analysis course. There's some overlap with the Mathlets page, but this page also includes material written by other people.
• GeoWall: includes some of the same applets, along with standalone applications, which have been configured for use with the GeoWall system to give the viewer a true 3D effect.
• Interactive Gallery of Quadric Surfaces. Until Möbius Transformations Revealed, this was the the most popular visualization tool that I had ever created.

ITCEP Programs

• I work with ITCEP's professional development courses for Teachers. I try to maintain a webpage with links to online resources mentioned in those courses.

Mathematical Links

• Journal of Online Mathematics and its Applications
• Download textbooks online:
  • Allen Hatcher: His books are quickly becoming standard references for many (most?) Topology students.
  • Peter May: Look for the "Concise Course in Algebraic Topology."
  • Philip Hirschhorn: Model Category Preprint(s).
  • Robert Ash: Abstract Algebra
• Hopf Topology Archive
• Math arXiv
• Graduate Student Topology Conference. This conference was originally inspired by a similar conference for logic students. The leftover funds from the conference at Minnesota spawned yet another graduate student conference, this time for combinatorialists.
  • Inaugural Graduate Student Topology Conference, at Notre Dame.
  • Second Annual Graduate Student Topology Conference, at the University of Minnesota
  • Third Annual Graduate Student Topology Conference, at Northwestern University
  • Fourth Annual Graduate Student Topology Conference at Indiana University, Bloomington
    
    
  • Inaugural Graduate Student Combinatorics Conference, at the University of Minnesota.
  • Second Annual Graduate Student Combinatorics Conference, at the University of Wisconsin.
• MathWorld (An online math encyclopedia)
• PlanetMath (Another online math encyclopedia)
• Mathematics Genealogy Project
• Erdös Number Project
• EROS Data Center: As an undergraduate I did research with satellite images here. I particularly recommend the Earthshots site.

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.)