Math 746, Fall 2024, Professor Kustin

• Here are the notes from the lectures I gave in 2018. I will give similar lectures in 2024. .
  
  
• Course Announcement: Commutative Algebra Course, Fall 2024.
  
  
• A link to the website I used when I taught this course in Fall 2018.
  
  
• A link to the website I used when I taught this course in Fall 2013. This website proposes numerous Homework problems, projects, and seminar topics.
  
  
• Seminar ideas spring 2014. When I taught Commutative Algebra in 2013-2014, we did run a parallel student seminar. Two of the students in the class/seminar wrote PhD dissertations in Algebraic Geometry, two in Commutative Algebra.
  
  
• Some of my favorite references are:
  • Atiyah and Macdonald, "Introduction to Commutative Algebra".
  • Bruns and Herzog, "Cohen-Macaulay rings".
  • Eisenbud, "Commutative algebra with a view toward Algebraic Geometry".
  • Matsumura, "Commutative Algebra".
  • Matsumura, "Commutative Ring Theory".
  
  
• My favorite software is Macaulay2. Here is a small Macaulay2 session where I calculated the primary decomposition of an ideal. I used a session like this as I prepared the lecture (in 2013) on primary decomposition. All of the commands I used are explained on-line. I find the Macaulay2 Table of Contents to be very helpful.
  
  
• Many people post their pre-prints on the arXiv.