Schedule
 Lecture  Homework due


Sep 9/10 
[Intensive course on categories and modules]

 Sep 16 
Peter Stevenhagen: Chapter 1

 Sep 23 
Bart de Smit: Chapter 2
up to 2.12
 For 2 points:
Ch. 1: 5, 7, 11, 12, 17, 24
For 3 points:
Ch. 1: 13,22, 25, 29, 31, 35
 Sep 30 
Peter Stevenhagen

For 2 points:
Ch. 2: 10,1 7, 23, 28 (you may assume 27), 30
For 3 points:
Ch. 2: 18, 25, 29, 32, 33
 Oct 7 
Bart de Smit

For 2 points:
Ch. 2: 37,42, 48, 53; Ch. 3: 10, 13
For 3 points:
Ch. 2: 43, 46, 57; Ch. 3: 15, 16
 Oct 14 
Peter Stevenhagen

For 2 points:
Ch. 3: 17, 21, 22, 26, 29
For 3 points:
Ch. 3: 18, 25, 27, 30, 31
 Oct 21 
Peter Stevenhagen

For 2 points: Ch. 4: 5, 11, 12, 19, 21
For 3 points: Ch. 4: 14, 15, 16, 17, 20
 Oct 28 
no class
 Nov 4 
Bart de Smit

For 2 points: Ch. 4: 31, 32, Ch.5: 5, 6, 9
For 3 points: Ch. 5: 4, 7, 8, 15, 18
(you may use Cor. 5.9 if needed)
For this week you may
vote
on which problems you would like to have discussed in class.
 Nov 11 
Bart de Smit

For 2 points: Ch. 5: 10, 13, 14, 16, 20
For 3 points: Ch. 5: 11, 12, 17, 19
 Nov 18 
Peter Stevenhagen

For 2 points: Ch. 5: 22, 25, 27, 29, 30
For 3 points: Ch. 5: 21, 24, 28, 31, 32
(in exercise 31 assume that L is not equal to K, and
replace "it equals" by "we have").
For this week you may
vote
again on which problems you would like to have discussed in class.
 Nov 25 
Bart de Smit
Sage

For 2 points: Ch. 7: 5, 8, 10, 16
For 3 points: Ch. 7: 7, 12, 15, 17
Extra problem for 2 pts: Compute the class group of Q(√d) for
one value of d in {74, 101, 167}
Extra problem for 3 pts:
Give one nontrivial solution of the Pell equation for
one value of d in {31, 43, 46, 94}.
Show us also how you find such a solution.
Do all calculations by hand and make sure that you show us that you understand the techniques you learned in
class. Just giving a solution and verifying it will not give you three points.
For this week you may
vote
again on which problems you would like to have discussed in class.
 Dec 2 
Peter Stevenhagen
 This week there is a page of exercises and instructions [pdf]
to work on using Sage, and for convenience a text file to copy for exercise 4.
You can work in pairs if you want. The
worksheet
that we ran through
in class is also available.
 Dec 9 
Bart de Smit

For 2 points: Ch. 8: 5, 7, 9, 10
For 3 points: Ch. 8: 4, 6, 8, 11, and 8.15
 Dec 16 
Hendrik Lenstra: Number field sieve

In the third hour we will answer questions on the
mock exam.
 Jan 27  
10:00  13:00 Final exam at the VU, room FG1 (Medical Faculty).

Last update December 9, 2014, 11:51 