UC Davis Math 245 -- Enumerative Combinatorics
Fall 2026

Basic information

Class:
    Wellman Hall 235 Bainer Hall 1060, MWF 12:10-1:00pm

Instructor:
    Prof. Fu Liu
    office: Mathematical Sciences Building (MSB) Room 3220
    office hour:

  • Tuesdays 9:30am-10:30am
  • Fridays 1:15pm-2:15pm
    email: (Please include "Math 245" in your subject line.)

Grading: weekly homework 75%, take-home final 25%.
Final: Final will be posted during the last week of instruction, and due during the final week. You will have roughly a week to finish the final.

Course Webpage: http://www.math.ucdavis.edu/~fuliu/Teaching/Math245

Textbook and Syllabus

Enumerative Combinatorics, Volume 1, (often referred to as EC1), by Richard Stanley. You can find a pdf copy of the 2nd edition of EC1 here.

We will first review basic enumerative combinatorics in chapter 1, and then cover topics on integral polytopes and Ehrhart theory. We will finish with parts of chapter 3 in EC1.

Reference for material on Ehrhart theory:

  • Compute the Continuous Discretely: Integer-point Enumeration in Polyhedra, by Matthias Beck and Sinai Robins. A pdf version of the second edition is available on here.
  • Lectures on Polytopes, by Günter Ziegler.
  • Integer Points in Polyhedra, by Alexander Barvinok.

Homework

Homework will be assigned on the homework webpage, and collected in the class on the due date. You will have at least one week between the homework is posted and the due date. Please go to the webpage for details.