Class Meetings: W 4:00-7:00, RLM 9.166

Discusion/Office Hours: M 2:30-4:00, RLM 9.162

For more details, see the First Day Handout

Topic/Reference | Student(s) | Date |
---|---|---|

Existence of Morse functions | Max Riestenberg | September 5 |

Kenny Schefers | ||

Handles and handlebodies | Riccardo Pedrotti | September 12 |

George Torres | ||

Knots and total curvature | Jonathan Johnson | September 26 |

Sebastian Schulz | ||

Lefschetz hyperplane theorem | Ivan Tulli | October 3 |

Ricky Wedeen | ||

Milnor, Chapters 4 and 5 | Riccardo Pedrotti | October 10 |

Cameron Darwin | ||

Milnor, Chapter 5 | Cameron Darwin | October 17 |

Milnor, Chapter 6 | Gill Grindstaff | October 24 |

Ricky Wedeen | ||

Milnor, Chapter 7 | Tynan Ochse | October 31 |

Charlie Reid | ||

Milnor, Chapters 8 and 9 | Kenny Schefers | November 7 |

Arun Debray |

Problem Set #2

Problem Set #3

Problem Set #4

Problem Set #5

Problem Set #6

Problem Set #7

Problem Set #8

Problem Set #9

Problem Set #10

Problem Set #11

Milnor essay on differential topology.

Bott's Morse Theory indomitable.

Moser's paper proving Darboux's theorem.

Jost on Morse homology (from his book

Michael Hutching's class notes on Morse homology.

Smale's infinite dimensional version of Sard's theorem.

Donaldson-Kronheimer discussion of transversality.

Schwarz appendix from

Smale paper on gradient dynamical systems.

Cohen-Jones-Segal preprint on Morse theory and classifying spaces.