2024-1 Elliptic Curves (MATH604-01) The course syllabus

1.Course Information

Course No. MATH604 Section 01 Credit 3.00
Category Major elective Course Type Classroom Course prerequisites
Postechian Core Competence
Hours TUE, THU / 15:30 ~ 16:45 / MathBldg[100]Lecture Room Grading Scale G

2. Instructor Information

LiQirui Name LiQirui Department Dept of Mathematics
Email address qiruili@postech.ac.kr Homepage
Office Office Phone
Office Hours

3. Course Objectives

The goal of this course is to study the theory of elliptic curves over various fields and its applications to number theory.

4. Prerequisites & require

algebra, basic algebraic geometry, algebraic number theory

5. Grading

homework, presentation, attendance

6. Course Materials

Title Author Publisher Publication
Year/Edition		 ISBN

7. Course References

1. Jiu-Kang Yu's lecture note
2. James Milne's lecture note (will be posted on LMS)
3. Silverman 1 (can be downloaded from the library)
4. Silverman 2

8. Course Plan

After quick review of the general theory of elliptic curves (less than 1 week), we will move on to the theory of elliptic curves over a local field, reduction, Neron models. Then we will cover the theory of elliptic curves over Q, the proof of Mordell's theorem using height, BSD conjecture, and modularity.

9. Course Operation

lecture

10. How to Teach & Remark

11. Supports for Students with a Disability

- Taking Course: interpreting services (for hearing impairment), Mobility and preferential seating assistances (for developmental disability), Note taking(for all kinds of disabilities) and etc.

- Taking Exam: Extended exam period (for all kinds of disabilities, if needed), Magnified exam papers (for sight disability), and etc.

- Please contact Center for Students with Disabilities (279-2434) for additional assistance

Copy The course syllabus
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