2026년도 2학기 해석적정수론 (MATH506-01) 강의계획서

1. 수업정보

학수번호 MATH506 분반 01 학점 3.00
이수구분 전공선택 강좌유형 강의실 강좌 선수과목
포스테키안 핵심역량
강의시간 월, 수 / 09:30 ~ 10:45 / 수리과학관 강의실 [104호] 성적취득 구분 G

2. 강의교수 정보

조성문 이름 조성문 학과(전공) 수학과
이메일 주소 sungmuncho@postech.ac.kr Homepage
연구실 전화 054-279-2045
Office Hours 월, 수 11-12

3. 강의목표

The goal of this course is to understand various zeta functions and L-series associated with number fields.
We will closely follow Chapter VII of Neukirch’s Algebraic Number Theory.

4. 강의선수/수강필수사항

Familiarity with linear algebra, abstract algebra, complex analysis, and basic algebraic number theory is recommended. Relevant topics in algebraic number theory include number fields, rings of integers, ideals and ideal class groups, units, discriminants, Galois groups, and local fields. Some background in algebraic geometry would also be helpful.

5. 성적평가

중간고사 기말고사 출석 과제 프로젝트 발표/토론 실험/실습 퀴즈 기타 계
50 50 100
비고
Core problems covering the lecture material will be released every one or two weeks. All examination questions will be selected from these published problems. The core problems are for self-study and do not need to be submitted. Assessment will focus on understanding key concepts and presenting clear and rigorous mathematical arguments.

Regular attendance is required and will be recorded, although attendance is not graded separately. In accordance with POSTECH regulations, students must attend at least three-quarters of the total class hours to be eligible for course credit. Excused absences will be handled in accordance with university regulations.

6. 강의교재

도서명 저자명 출판사 출판년도 ISBN

7. 참고문헌 및 자료

Main reference: Jürgen Neukirch, Algebraic Number Theory, Grundlehren der mathematischen Wissenschaften, Vol. 322, Springer, 1999. Chapter VII: “Zeta Functions and L-series.”

Course materials: Core problems will be provided by the instructor throughout the semester.

8. 강의진도계획

We will follow Chapter VII of Neukirch’s Algebraic Number Theory. The pace and coverage will be adjusted as needed. Examination dates will be announced in advance.

9. 수업운영

Lectures will be given at the blackboard.

10. 학습법 소개 및 기타사항

11. 장애학생에 대한 학습지원 사항

- 수강 관련: 문자 통역(청각), 교과목 보조(발달), 노트필기(전 유형) 등

- 시험 관련: 시험시간 연장(필요시 전 유형), 시험지 확대 복사(시각) 등

- 기타 추가 요청사항 발생 시 장애학생지원센터(279-2434)로 요청