### Timetables

- My supervision timetable for the Lent 2022 term.
- The lecture lists for 2021-22.
- The lecture timetable for 2021-22. But please read the warning.

planet gareth : maths

- My supervision timetable for the Lent 2022 term.
- The lecture lists for 2021-22.
- The lecture timetable for 2021-22. But please read the warning.

**Groups**

- My Groups introductory sheet, given out in the first week of Michaelmas term.
- Some more questions for Michaelmas 2017.
- My sheet 4 for Michaelmas 2019.
- A sheet of additional questions, for enthusiasts.
- A cube showing the action of S
_{4}and S_{3}, and a net you can print and build.

**Numbers & Sets**

- My N&S introductory sheet, given out in the first week of Michaelmas term.
- Some more questions for Michaelmas 2017.
- A sheet of additional questions, for enthusiasts.

**Analysis I**

- Some stuff about:
- A sheet of additional questions, for enthusiasts.

**Vectors & Matrices**

- Some stuff about:
- suffix notation
- hyperbolic functions, written by Kerry Maunder

**Vector Calculus**

- My set of VC example sheets for Lent 2022.
- Lecture notes by M. Dörrzapf, who lectured the course in 2005 and 2006.
- Some stuff about:

- Here is a Part IB course-o-meter.

**Linear Algebra**

- A preliminary sheet, revising some Part IA material.
- Some stuff about:

**Groups, Rings & Modules**

- Two different proofs of Sylow's theorems.
- "Rings & Things", a summary of some results in GRM.
- Relating ED ⇒ PID ⇒ UFD to some Numbers & Sets results.
- An informal explanation of F[X]-modules and Normal Forms.
- A dodecahedron showing the five cubes inscribed in it and a net you can print and build.

This was designed by Simon, whose original page about this is here.

**Metric & Topological Spaces**

- This course is lectured in the Easter term. People often look over the notes themselves during the summer break. To help, here are some printed notes made available by previous lecturers:
- My set of Met&Top example sheets for Easter 2019.

**Complex Methods**

- My set of CM example sheets for Lent 2022.
- Summary notes by F. Quevedo, who lectured the course in 2006 and 2007.
- A pretty video about Möbius transformations.
- Some stuff about:
- Some notes written by Richard Smith, a former fellow at Queens':

I don't supervise Parts II and III. However:

- Here is a Part II course-o-meter.
- Here are notes for various Part II & Part III courses.
- Here are thoughts on prerequisites for Part II courses.

Past Tripos Papers for recent years can be found on the university maths website.

They are sorted by year there, but are sorted by course here.

Some older past papers can be found on my old things page. (Requires Raven login.)

Example sheets can be found on the DPMMS or DAMTP pages.

Below are the most recent sheets for the courses I supervise. (Sheets in brackets are from last year.)

Groups | one | two | three | four |

Numbers & Sets | one | two | three | four |

Analysis I | one | two | (three) | (four) |

Vector Calculus | one | two | three | four |

Linear Algebra | one | two | three | four |

Groups Rings & Modules | one | (two) | (three) | (four) |

Complex Methods | one | two | three | — |

Some older example sheets can be found on my old things page. (Requires Raven login.)

"The Zeta Function of sl_{2} and Resolution of Singularities", a paper by Marcus du Sautoy and me.

(My only actual paper, but it got me an Erdős number of 4, so that's okay.)

**Solitaire Army**

Simon and I came up with a fun extension to Solitaire Army. Simon has produced a page with pretty animations of our result.

**Poems**

Ben Millwood wrote me a poem about the Heine-Borel Theorem.

Patrick Stevens wrote poems which prove Sylow's theorems.

**A juggling theorem**

"Given a collection of positive integers with integer average, there is some permutation of them which is a valid siteswap."

Here is a proof. And here is an implementation of the algorithm, written in Python by Simon.