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 2022)
| Lectures: | TTh 12:30pm - 1:45pm, GMCS 405 |
| Final exam: | Thursday, 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 16, 2022:
Course webpage has been created.
January 16, 2022:
A syllabus and lecture schedule have been uploaded.
January 16, 2022:
A description of the course project has been uploaded.
February 18, 2022:
The lecture schedule has been updated.
March 1, 2022:
The lecture schedule has been updated.
March 18, 2022:
A description of the course project has been updated to include new projects.
April 21, 2022:
A description of the course project has been updated with new deadlines.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
A description of the course project.
The course Canvas page, which contains all Zoom links.
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 27, 2022.
Preliminary Assignment 2,
due Thursday, February 3, 2022.
Preliminary Assignment 4,
due Thursday, February 17, 2022.
Preliminary Assignment 5,
due Thursday, February 24, 2022.
Preliminary Assignment 6,
due Thursday, March 3, 2022.
Preliminary Assignment 7,
due Thursday, March 10, 2022.
Preliminary Assignment 8,
due Thursday, March 17, 2022.
Preliminary Assignment 9,
due Thursday, March 24, 2022.
Preliminary Assignment 10,
due Thursday, April 7, 2022.
Preliminary Assignment 11,
due Thursday, April 14, 2022.
Preliminary Assignment 12,
due Thursday, April 21, 2022.