Contact
cdoneill «at» sdsu.edu
GMCS Building, Room 570
5500 Campanile Dr
San Diego, CA 92182
U.S.A.
GMCS Building, Room 570
Math & Stats Department
San Diego State University5500 Campanile Dr
San Diego, CA 92182
U.S.A.
Math 621: Combinatorial Commutative Algebra (Spring 2020)
| Lectures: | TTh 4:00pm - 5:15pm, GMCS 405 |
| Final exam slot: | Tuesday, May 12th, 3:30pm - 5:30pm |
| Textbooks: | Combinatorial Commutative Algebra, by Miller and Sturmfels (optional) |
| Combinatorics and Commutative Algebra, by Stanley (optional) | |
| Computing the Continuous Discretely, by Beck and Robins (optional) |
As described in the course catalog, this course covers advanced topics in algebra. This semester will focus on combinatorial and computational aspects of commutative and homological algebra, including graded rings and algebras, Hilbert series, graded free resolutions, and Gröbner bases. Applications to lattice point geometry, polyhedral combinatorics, and elsewhere will be covered as time permits.
Announcements
January 20, 2020:
Course webpage has been created.
January 20, 2020:
A syllabus and lecture schedule have been uploaded.
January 20, 2020:
A description of the course project has been uploaded.
March 11, 2020:
The course project description has been updated.
March 19, 2020:
The lecture schedule has been updated.
March 31, 2020:
The lecture schedule has been updated.
April 5, 2020:
The course project description has been updated, including a new rough draft deadline.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
A description of the course project.
Homework
There will be one homework assignment given each week, usually assigned on Thursday and due in class the following Thursday. There will also be one preliminary assignment given each week, usually assigned on Tuesday after class and due in class on Thursday.
I will post links to homework assignments here. If you have questions about course material, do not hesistate to ask me in/before/after class, stop by my office hours, or email me.
Preliminary Assignment 1,
due Thursday, January 30, 2020.
Preliminary Assignment 2,
due Thursday, February 6, 2020.
Preliminary Assignment 3,
due Thursday, February 13, 2020.
Preliminary Assignment 4,
due Thursday, February 20, 2020.
Preliminary Assignment 5,
due Thursday, February 27, 2020.
Preliminary Assignment 6,
due Thursday, March 5, 2020.
Preliminary Assignment 7,
due Thursday, March 12, 2020.