**Instructor**: Jonathan Sands, Room 406, 16 Colchester Ave.
(Henry
Marcus Lord House)

**Reach me at: **656-4339 or jwsands@uvm.edu

**Office hours:** MTW 3:30-4:45, F 11-12 and by
appointment.

Or send me your question by email. No question is too small!

**Goals:** To learn the key methods and concepts of algebraic number theory through problem-solving.

**Text:** "Number Fields" by Daniel A. Marcus. Other useful references are
"Problems in Algebraic Number Theory" by Murty and
Esmonde."Algebraic Number Fields," by Janusz, "Commutative Algebra, Volume I,"
by Zariski and Samuel, and "Classical Theory of Algebraic Numbers," by
Ribenboim. For a more modern treatment, there is "Algebraic
Number Theory" by Neukirch. For a high-level treatment, see "Algebraic
Number Theory," edited by Cassels and Frohlich. Some good online course notes have been made available by Matt Baker: http://people.math.gatech.edu/~mbaker/pdf/ANTBook.pdf

**Homework:** Each student (usually pairs of students) will be
assigned problems to be prepared to present. As many as possible will
be presented in class. I am available
to consult with you to be sure you are ready to present your
problem. The rest will be handed in on Mondays.

Final Assignment: There will be a final problem set during Final Exam week.

**Course Grades:** Homework will count 70%, presentations will count 10% and the final
assignment will count 20%.

**Expectations:** Please consult the** Student
rights and responsibilities** section of the UVM catalog for the classroom
code
of conduct and policy on attendance. **The
UVM academic integrity policy**
is in effect, as always. In particular, always be sure to give proper
attribution
for work or ideas that are not your own.

**Special Needs:** If you are eligible and need an accomodation,
please inform me and provide appropriate documentation during the first
two weeks of class so that this can be implemented.