MATH 615, WINTER 2020


Administrative Matters


Schedule form


This is a tentative and preliminary version of these lecture notes and should
not be used as a reference. Some topics will be covered as reading only, not in
class. Some material is optional, and this is clearly indicated.


Lecture Notes for Math 615, Winter, 2020

Supplement: The Structure Theory of Complete Local Rings

Supplement: Integral Closure of Ideals

Local Cohomology

Foundations of Tight Closure Theory



Prerequisite material:

Lecture Notes for Math 614, Fall, 2017



Individual lectures beginning Wednesday, March 11:

Wed March 11       Fri March 13       Mon, Wed March 16, 18      Fri March 20

Mon March 23      Wed March 25      Fri March 27     

Mon March 30      Wed April 1           Fri April 3      

Mon April 6           Wed April 8           Fri April 10

Mon April 13         Wed April 15         Fri April 17

Mon April 20



Problem sets:      1             2             3             4             5   



Solutions:            1             2             3             4             5             Extra Credit Problem Solutions