Math 760 (Unit 6)

instuctor: Prof. Rich Schwartz
time TuTh 1:00-2:20
place TBD

my office hours: TBD

Lecture Plan

• Week 1: geometric spaces
  • Euclidean space, the sphere, projective space
  • Hyperbolic space, Lorenz spacetime

• Week 2: Euclidean Geometry
  • The X Theorem, Dissection Theorem, Pick's Theorem
  • Euclidean tilings, platonic solids, 24-cell

• Week 3: Non-Euclidean Geometry
  • Similarity Structures, Morley's Theorem, Circle Packings
  • Hyperbolic Gauss-Bonnet, Hyperbolic Tilings

• Week 4: Projective Geometry
  • Cayley-Bacharach Theorem, Pascal's Theorem, Pappus's Theorem
  • Poncelet Porism, Pentagram map