Modern Geometry and the Shape of the Universe

• The Geometry of the Sphere
  A Web course on spherical geometry by Rice University mathematician John Polking.
• Spherical Geometry Demo
  A Java program for experimenting with spherical geometry, from University of Illinois mathematician John Sullivan. Try drawing spherical triangles and measuring their angle sums.
• Gaussian Curvature and the Gauss-Bonnet Theorem
  "An introduction for mathematically inclined non-mathematicians."
• Geometry and the Imagination in Minneapolis
  Handouts for a summer course taught at Princeton and the Geometry Center in Minneapolis.
• The Shape of Space
  Geometry resources about curved 3-dimensional space from mathematician Jeff Weeks.
• Is the Universe Infinite?
  Information about the Wilkinson Microwave Anisotropy Probe (WMAP), an experiment designed to detect whether the universe is positively or negatively curved.
• Shape of the Universe
  A technical article on the mathematics of curved universes from Wikipedia.
• Geometry of the Earth and Universe
  Resources with a far-reaching range from students with no math background all the way to PhD researchers in geometry and topology, and with connections to art, philosophy, physics, astronomy, geography, and visualization, this topic has something for everyone!
• Types of Universes
  From the Electronic Universe Project, University of Oregon
• Geometry of the Universe
  Lecture notes by University of Oregon physicist James Schombert
• Einstein's Theory of Gravity
  Lecture notes by University of Alberta physicist Brian Martin.

Jack Lee's home page
UW Math Department home page
UW home page