189-570A: Higher Algebra I
Professor: Henri Darmon
Classes: MWF 8:30-10:00.
Room: Burnside Hall 920
Higher Algebra I on the web:
Henri Darmon's web page:
Henri Darmon: by appointment,
in BH 1111.
1. Jean-Pierre Serre,
Linear representations of finite groups.
2. Emil Artin,
Theory, Dover Books.
Optional (may be used as references)
3. Thomas Hungerford, Algebra,
Will be mostly
useful in the second semester course but
may be used a bit in the first semester as well
An invitation to arithmetic
geometry. American Mathematical Society.
5. David Eisenbud,
Commutative Algebra with a view toward algebraic geometry.
Springer Verlag (GTM).
Syllabus: This course will cover the standard
syllabus for a
first year graduate course in abstract algebra.
The content and pace will be challenging:
emphasis will be placed on rigorous proofs, and on developping
maturity and problem-solving skills.
Grading Scheme :
The bi-weekly assignments are an essential part of the course. You should plan
to devote at least ten hours (and quite possibly more) to the
If you are stuck on a problem, you may seek out the help of
one of your classmates. It is OK to work on the
assignments in groups, although you should hand them in individually.
Do not neglect the assignments:
there is a strong correlation between the work you put into
them and how well you will do in the final exam, and hence in the
The assignments are due on Mondays
and will be graded and returned to you in the same week.
Late assignments will not be accepted.
60% In-class final exam.
The obligatory statements
McGill University values academic integrity. Therefore, all students
must understand the meaning and consequences of cheating, plagiarism and
other academic offences under the Code of Student Conduct and
Disciplinary Procedures (see www.mcgill.ca/integrity for more
In accord with McGill University's Charter of
Students' Rights, students in this course have the right to
submit in English or in French any written work that is to be graded.
In the event of extraordinary circumstances beyond the University's
control, the content and/or evaluation scheme in this course is subject