Algebra and Number Theory I

ASOF Honors Course

Course Information

This course is open to all students interested in Algebra and Number Theory. Some prior knowledge of Linear Algebra will be helpful but not necessary. The course will cover the basic notions of abstract algebra with a view toward applications in number theory. This course will be a preparation for Armenian students for the CIMPA summer school I am co-organizing in 2025.

Location: The auditorium of the Institute of Mathematics of the Academy of Sciences (24/5 Marshal Baghramyan Avenue, Yerevan).
Duration: September 13 - December 13, 2024.
Schedule: Tuesday and Friday every week, 17:00-19:00.
Each lecture will be 90 minutes long, followed by a 30-minute recitation (practice session).
I will join and deliver the lectures over zoom. The recitations will be taught by the course TA (Ruben Hambardzumyan) in person.
Prerequisites: Basic knowledge of English. I will lecture in Armenian but the slides will be in English. Some knowledge of Linear Algebra will be helpful but not necessary.
Grades: The course will have weekly homework assignments, one midterm exam and a final exam.

Week 1 (Sep 9 - Sep 13 , 2024)

Week 2 (Sep 16 - Sep 20, 2024)

Week 3 (Sep 23 - Sep 27, 2024)

Week 4 (Sep 30 - Oct 4, 2024)

Week 5 (Oct 7 - Oct 11, 2024)

Week 6 (Oct 14 - Oct 18, 2024)

Week 7 (Oct 21 - Oct 25, 2024)

Week 8 (Nov 4 - Nov 8, 2024)

Week 9 (Nov 11 - Nov 15, 2024)

Week 10 (Nov 18 - Nov 22, 2024)

Week 11 (Nov 25 - Nov 29, 2024)

Week 12 (Dec 2 - Dec 6, 2024)

Week 13 (Dec 9 - Dec 13, 2024)