Math 590: Discrete Geometry (Spring 2026) 
Lecture Schedule

Instructor: Christopher O'Neill
E-mail: cdoneill@sdsu.edu

Below is a list of the topics we intend to cover, along with a rough schedule.  Actual schedule is subject to change without notice.  Last updated January 20, 2026.  



1/21 - 1/23
Introduction and Roadmap

1/26 - 1/30
Preview of Polyehdral Geometry


Generating Functions
--------------------

2/2 - 2/6
Generating Functions

2/9 - 2/13
Generating Functions - Deep Cuts

2/16 - 2/20
Rational Generating Functions
Quasipolynomials

2/23 - 2/27
The Bridge from Power Series to Geometry


Polyhedral Geometry
-------------------

3/2 - 3/6
Polytopes, Polyhedra, and Cones

3/9 - 3/13
Faces of Polyhedra

3/16 - 3/19
Face Lattice Combinatorics

3/20
NCAA Tournament: No Classes

3/23 - 3/27
Ehrhart Series of Polytopes
Ehrhart Quasipolynomials

3/30 - 4/3
Spring Break: No Classes

4/6 - 4/10
Catch-up Week

4/13 - 4/17
Midterm Exam 3: Monday, April 13
A Case Study: Stanley Nonnegativity


Proving the Big Theorems
------------------------

4/20 - 4/24
Triangulations

4/27 - 5/1
A Proof of Ehrhart's Theorem

5/4 - 5/6
A Proof of Ehrhart-Macdonald Reciprocity

5/11
Final Presentations: Friday, May 8