Math 727: Quaternion Algebras: Algorithms and Arithmetic

Winter 2010


Course Info:


Course Description:

[PDF] Course Description

Our first meeting will be an organizational meeting, held on Thursday, January 7, at 14:30 in Burnside 920. If you cannot make this meeting and are interested in taking the course, please contact me so I know your scheduling constraints.



[PDF] Syllabus



HW #1: Exercises in sections 2.1, 2.2 ("due" Wednesday, January 27)

HW #2: Exercises in sections 2.3, 2.4, 2.5 ("due" Wednesday, February 3)

HW #3: Exercises in sections 3.1, 3.3 ("due" Wednesday, February 10)

HW #4: Exercises in sections 3.2 ("due" Wednesday, March 3)

HW #5: Exercises in sections 4.1 ("due" Wednesday, March 17)

HW #6: Exercises in sections 4.2, 4.3 ("due" Friday, April 2)

HW #7: Lab (quaternion orders of class number 1), March 29


Course Notes:

Please see the latest book draft.

The canonical reference for the arithmetic of quaternion algebras is Vigneras. Apologies for the rough photocopying job!

[PDF] Vigneras, Arithmetique des Algebres de Quaternions

Here is a link to the Magma demo for Monday, February 15.