# Math 502: Combinatorics II

This is the second semester of an introductory graduate-level course on combinatorics. We will be covering symmetric function theory, Young tableaux, counting with group actions, designs, matroids, finite geometries, and not-so-finite geometries.

## Syllabus

For more details, see the Course Syllabus.

## Resources

Recommended (but optional) books are listed in the Syllabus above.

Lecture notes will be updated here as the course progresses.

Jan 20, 23 - Intro and Antisymmetrics

Jan 30, Feb 1, 3 - RSK and the Pieri rules

Feb 6, 8, 20 - RSK, Knuth equivalence, and JDT

Feb 13, 15, 17 - Littlewood-Richardson tableaux and crystals

Feb 20, 22, 24, 27 - Crash course on representation theory

March 1, 3 - Characters and the Murnaghan-Nakayama rule

March 6, 8, 10 - Counting with group actions

Apr 10, 12, 14 - Finite Geometries

Apr 17, 19, 21 - Not So Finite Geometries

## Office hours

My office is Weber 125, near the west door of the tea room. Come find me:

- Wednesday 10 am and 12 noon, before and after class
- By appointment (Email me at Maria [dot] Gillespie [at] colostate [dot] edu)
- Feel free to knock on my office door for quick questions!

## Homework

Homework assignments will be posted here as the course progresses.

## Final Projects

Here are the final projects written by the students:

C. Mrozek and A. Romero, Hook Length Formula - History and Proofs by Example

P. Wilson, Promotion and Evacuation

C. Jones, Whatâ€™s Your Strategy?

K. Brown, Local Evacuation Shuffling and the Pieri Case

I. Rojas, Moduli Spaces of Stable Curves with Marked Points: Examples and Connections to Trees

J. McCann, Solving Linear Intersection Problems with Schubert Varieties