Presentations coming up...

- Thursday Dec 1:

- Steve Pon, comparing models of**H**(30 mins)

- Rohit Thomas, geodesic and horocycle flow (40 mins) - Monday Dec 5,
*special time & place*(MSB 2112, 3-4pm):

- Sara Hawkes, hyperbolic geometery lessons for teachers - Tuesday Dec 6:

- Alice Stevens, the geometry of the 3-sphere (30 mins)

- Connie Wilmarth, arithmetic Fuchsian groups (40 mins) - Thursday Dec 8:

- Ziqi Liu, Jorgensen's inequality (30 mins)

- Barbara Villatoro/Matt Rathbun, the thick-thin decomposition for hyperbolic manifolds (40 mins)

**Handouts**
-- these are supposed to supplement, and not duplicate, what's
in the text

Please let me know about any errors in the handouts (more than likely); I may use the notes again for a future course.

Just the facts: details from the first lecture | DVI | |

Introducing the hyperbolic plane | DVI | |

Isometries * | DVI | |

More structure | DVI | |

Gauss-Bonnet and flat structures | DVI | |

Trace and geometry | DVI | |

Tangent bundles and topological groups | DVI | |

Discreteness and proper discontinuity | DVI | |

Introducing Fuchsian groups | DVI | |

The modular group | DVI |

* By the way, if you're interested in the story of Saccheri, who declared non-Euclidean geometry to be "repugnant to the nature of the straight line," here's a philosophy paper I wrote that makes use of that story to make a point.