• 
  박지훈 교수

  - 서울대학교 QSMS (Center for Quantum structures in Modules and Spaces) 선임연구원
  - 전, POSTECH 수학과 (정수론과 산술기하 전공) 부교수
  - 전, 캐나다 McGill 대학 박사후연구원
  - 전, 미국 Clay liftoff fellow
  - 미국 보스톤 대학 수학과 박사학위 (2007)
  - The modular j-function and homotopy Lie theory (Proceedings of AMS, 2018)
  - Abelian arithmetic Chern-Simons theory (International Mathematical Research Notices,2017)
  - Enhanced homotopy theory of period integrals (Communications in Number theory and physics, 2016)

1. CHAPTER 1: Definition of a group and a group homomorphism
   1. 학습자료 & 주차목표
   1. definition of groups and basic examples
   1. properties of a group and a homomorphism
   1. dihedral group and group presentation
   1. Quiz 1-1
   1. Quiz 1-2
   1. Quiz 1-3
2. CHAPTER 2: Examples of groups
   1. 학습자료 & 주차목표
   1. symmetric group
   1. more examples
   1. group action and its property
   1. Quiz 2-1
   1. Quiz 2-2
   1. Quiz 2-3
3. CHAPTER 3: Subgroups
   1. 학습자료 & 주차목표
   1. subgroups and related examples
   1. cyclic group and group generators
   1. lattice diagram of subgroups
   1. Quiz 3-1
   1. Quiz 3-2
   1. Quiz 3-3
4. CHAPTER 4: Quotient groups and isomorphism theorems
   1. 학습자료 & 주차목표
   1. cosets, normal subgroup and quotient group
   1. Lagrange’s theorem
   1. isomorphism theorems
   1. Quiz 4-1
   1. Quiz 4-2
   1. Quiz 4-3
5. CHAPTER 5: Group actions and Cayley’s theorem
   1. 학습자료 & 주차목표
   1. cycle decomposition
   1. Cayley’s theorem and symmetric group
   1. class equation
   1. Quiz 5-1
   1. Quiz 5-2
   1. Quiz 5-3
6. CHAPTER 6: Sylow’s theorem
   1. 학습자료 & 주차목표
   1. automorphisms of groups
   1. Sylow’s theorem I
   1. Sylow’s theorem II
   1. Quiz 6-1
   1. Quiz 6-2
   1. Quiz 6-3
7. CHAPTER 7: semi-direct products and solvable groups
   1. 학습자료 & 주차목표
   1. semi-direct products
   1. p-groups and nilpotent groups
   1. solvable groups
   1. Quiz 7-1
   1. Quiz 7-2
   1. Quiz 7-3
8. CHAPTER 8: Definition of a ring and its homomorphism
   1. 학습자료 & 주차목표
   1. definition of rings and basic examples
   1. Units of a ring and integral domains
   1. More examples and ring homomorphism
   1. Quiz 8-1
   1. Quiz 8-2
   1. Quiz 8-3
9. CHAPTER 9: The ring isomorphisms and localization
   1. 학습자료 & 주차목표
   1. ring isomorphism theorems
   1. properties of rings
   1. rings of fractions
   1. Quiz 9-1
   1. Quiz 9-2
   1. Quiz 9-3
10. CHAPTER 10: Euclidean domain (ED) and discrete valuation ring (DVR)
    1. 학습자료 & 주차목표
    1. Chines remainder theorem
    1. Euclidean domain (ED)
    1. discrete valuation ring (DVR)
    1. Quiz 10-1
    1. Quiz 10-2
    1. Quiz 10-3
11. CHAPTER 11: principal ideal domain (PID) and unique factorization domain (UFD)
    1. 학습자료 & 주차목표
    1. principal ideal domain (PID)
    1. unique factorization domain (UFD)
    1. polynomial rings I
    1. Quiz 11-1
    1. Quiz 11-2
    1. Quiz 11-3
12. CHAPTER 12: Polynomial rings
    1. 학습자료 & 주차목표
    1. polynomial rings II
    1. Irreducibility: the Eisenstein criterion
    1. polynomial rings over a field and summary
    1. Quiz 12-1
    1. Quiz 12-2
    1. Quiz 12-3

교재: Dummit-Foote Abstract Algebra 4th edition