## COURSE DESCRIPTION

The giving of presentations is one of the most important non-mathematical skills a mathematician can have, and like many such skills, is best learned in the doing. Students in Ma 10 will be required to do two things: (1) Give two 20 minute talks to their fellow students; and (2) form the audience for their fellow students' talks (and learn from their mistakes).

Each talk should be at the level of Caltech math majors (i.e., anyone who's taken the single-digit required courses should be able to follow the talk, and ideally learn something new), and on a mathematical subject (applications and history are acceptable).

Talks may use the blackboard or slides. Students are asked to give one talk of each kind. It is important that talks are designed with flexibility in mind, to avoid ending too early, or going over time.

Prior to their talks students should submit titles and abstracts for distribution.

The audience should try to follow the talk, naturally, but also make note of anything the speaker does that works particularly well or badly; students are then asked to give speakers feedback afterwards, by completing an anonymous form. They are also expected to actively participate in class by asking questions, and in turns acting as chair.

Depending on enrollment, each weekly meeting will consist of few student presentations, followed by discussion.

## SCHEDULE

09/27 | ---- | Organizational meeting | -- |

10/04 | 2:30 | Jalex Stark | A fun fact about Graph homomorphisms |

10/04 | 3:00 | Bella Guo | Godel's Incompleteness theorem |

10/04 | 3:30 | Yujie Xu | covering spaces and Galois correspondence |

10/11 | 2:30 | Henry Swanson | Wedderbrun's Little Theorem |

10/11 | 3:00 | Matthew Weidner | p-adic numbers and Hensel's Lemma |

10/11 | 3:30 | Milica Kolundzija | Introduction to Adjacency matrices |

10/18 | 2:00 | Suna Kim | TBA |

10/18 | 2:30 | Henry Elbrum | TBA |

10/18 | 3:00 | Chenchao You | TBA |

10/18 | 3:30 | Pallavi Aggarwal | TBA |

10/25 | 2:00 | Shival Dasu | The fundamental problem of invariant theory for finite groups |

10/25 | 2:30 | Patricia Beekman | Min cut, max flow theorem |

10/25 | 3:00 | Chinmay Nirkhe | Ito's integral and Ito's lemma |

10/25 | 3:30 | Jeffery Gu | Characteristic functions of random variables |

## READING

Please consider attending few talks. Check online videos, e.g. available from IAS (Princeton) and MSRI (Berkeley).

Attend talks in MA 20 (Tuesday at 12pm in Sloan 151), Math Colloquia (Tuesday at 4pm in Sloan 151), or other weekly Math Seminars.