Instructor: Ching-Li Chai

Office: DRL 4N36, Ext. 8-8469.
Office Hours:

Exercises

General Information

• Lectures: M 4:30--6:00 PM, W 4:45-6:05 4C6 DRL
  First meeting: Wednesday, January 15, 2020.
  
  
• Possible topics after the basics:
  • Heselien rings
  • Excellent rings
  • Grobner basis
  • Artin approximation and Popescu-Swan desingularization theorems
  
  
  
• Background knowledge: basic algebra at the level of math 602 plus math 603.
  
  
• References: There will be no texbook for this course. The following are some references
  • Adams and Loustaunau, An Introduction to Grobner Bases
  • Bourbaki, Algebre Commutative
  • Eisenbud, Commutative Algebra
  • Grothendieck and Dieudonne, EGA 0 and EGA IV
  • Kaplansky, Commutative Rings
  • Kunz, Introduction to Commutative Algebra and Algebraic Geometry
  • Matsumura, Commutative Algebra
  • Matsumura, Commutative Ring Theory
  • Nagata, Local Rings
  • Raynaud, Anneaux Locaux Henseliens
  • Serre, Local Algebras
  • Swan, Neron-Popescu Desingularization
  • Zariski and Samuel, Commutative Algebra