Instructor: 
Nils Bruin nbruin@sfu.ca SC K 10507 (778) 782 3794 

Webpage:  http://www.cecm.sfu.ca/~nbruin/math842/  
Outline: 
Algebraic number theory comprises the study of algebraic numbers:
numbers that satisfy polynomial equations with rational coefficients.
The parallels with usual integer arithmetic are striking, as are the
notable differences (as, for instance, failure of unique factorization
into prime factors). The subject is fundamental to any further study in
number theory or algebraic geometry.
In this course we develop the tools to properly understand unique factorization and its failure. We establish fundamental results such as Dirichlet's Unit theorem and the finiteness of the ideal class group. We highlight the applicability of the algebraic tools we develop to both algebraic numbers and to algebraic curves. Depending on time and interests of the participants, we will also look into various applications and more advanced topics. Possible topics:


Course text:  Milne, J.S., Algebraic Number Theory. available from: http://www.jmilne.org/math/CourseNotes/ant.html. (local copy)  
Recommended reading: 


Lectures:  Wednesdays, Fridays 14:30  16:20 in WMC 2501 Some Mondays (in Bold) 15:30  17:20 in WMC 2830 First lecture: Wednesday January 15 

Exam:  April 14, 9:00  17:00 (takehome final) Accommodation will be made for clashes with Prel/Comp exams 

Grading: 
 
Lecture schedule: 
PRELIMINARY; we may not need all booked Mondays. References to Milne are in terms of Definition/Remark/Theorem etc. numbers.
