Timetables

• My supervision timetable for the Michaelmas 2024 term.
• The lecture lists for 2024-25.
• The lecture timetable for 2024-25. But please read the warning.

Part IA

Groups

• My Groups introductory sheet, given out in the first week of Michaelmas term.
• My sheet 4 for Michaelmas 2023.
• A sheet of additional questions for enthusiasts.
• A cube showing the action of S₄ and S₃, and a net you can print and build.

Numbers & Sets

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

Analysis I

• Some stuff about:
  • Taylor's Theorem
• 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 2024.
• Some stuff about:
  • grad
  • Jacobians
  • line integrals
  • arc-length/curvature/torsion
  • Green's Theorem
• Lecture notes by M. Dörrzapf.

Part IB

• Here is a Part IB course-o-meter.

Linear Algebra

• A preliminary sheet, revising some Part IA material.
• Some stuff about:
  • row and column operations
  • determinants
  • minimal polynomials and JNFs
  • the Steinitz exchange lemma

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

• My set of Met&Top example sheets for Easter 2024.
• 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:
  • B. Totaro
  • I. Smith
  • P. Wilson
  • T. Körner
  • J. Rasmussen

Complex Methods

• My set of CM example sheets for Lent 2024.
• Summary notes by F. Quevedo, who lectured the course in 2006 and 2007.
• A pretty video about Möbius transformations.
• Some stuff about:
  • how angles change when f'(z) = 0
  • branches
  • arctan
• Some notes written by Richard Smith, a former fellow at Queens':
  • about arctan
  • conformal maps
  • isolated singularities
  • calculating residues
  • the indentation lemma
  • Jordan's Lemma
  • Jordan's Lemma for Laplace Inversion.

Parts II & III

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.

Tripos Papers

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

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.)

Other Things

"The Zeta Function of sl₂ 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.