website for
Galois Theory
(2011, M24)

This is a website for the Part IID course Galois Theory (2011, M24); here are some material for this course.

(Common sense) comments on exams. Only the intersection of the schedule and what I did in the lectures are examinable. If you prefer to use different definitions/proofs from the lectures, it is totally acceptable as long as they are clearly stated and the essential arguments are given (although the questions will be designed to have as little such complication as possible).

(from the official website of the department)

Meetings: Tue. / Thu. / Sat. 9am, now at MR 3.
First lecture: Thu., 6th October, 2011.
Last lecture: Sat., 26th November. There will be no lecture on Tue., 29th November! - in fact there was, due to visa glitch in the middle of the term... sorry!

  • p.7 of the [pdf] Courses in Part II of the Tripos,
  • p.30 of the [pdf] Schedules of the Tripos (I will lecture in a different order),
  • past example sheets on Galois Theory page.


    This year I am not putting up the notes on the web at the moment. I'm hoping that the notes taken from the board will be sufficiently comprehensive.

    I do not follow the notes from the previous years (the "old stuff" down below), and it need not be consulted (of course you're free to take a look). We will cover logically the same amount of material, but we are starting with somewhat more down-to-earth treatment of subfields of C.

  • [pdf] Handout for Lecture 11: Why general fields, and how (29/10/11)
  • [pdf] Handout for Lecture 12: Zorn's lemma (1/11/11)

    ______example sheets

    The questions are mostly taken from the past sheets, with different order/notation.

  • [pdf] Example sheet 1 (handed out 13/10/11)
  • [pdf] Example sheet 2 (handed out 25/10/11)
  • [pdf] Example sheet 3 (handed out 12/11/11)
  • [pdf] Example sheet 4 (handed out 24/11/11)

    Comments on the optional questions. I choose around ten questions from each sheet that you might try first (and these should suffice for the sake of preparing for the exam). I decided to call the rest "optional" (the starred ones). The easy ones are always unstarred and the very hard ones are always starred, but the division is not only in terms of the difficulty; unstarred doesn't mean easy. Not only in terms of importance either; there are interesting and educational questions among the starred. I expect the students to find interesting questions among the starred ones to challenge themselves.

    Dear supervisors: shoot me an email! ___ let me send you the solutions for the 2011 example sheet that I prepared (but don't show them to the students!). Hope you can give me feedbacks.

    ______old stuff

  • 2010 course website

  • Last modified: November 24, 2011.