In Spring 2022, I taught a course on the combinatorics of Schubert polynomials. The notes I wrote for that course, while not exhaustive, provide a useful guide to understand these objects from a combinatorial perspective. In particular, they offer what I believe is the friendliest introduction to the Lascoux-Schutzenberger transition equations and their use in constructing Schubert polynomials. I plan to continue updating them, but you can find the current draft below:
All courses materials are posted on Canvas.
Spring 2024:
- MAD 4204 Introduction to Combinatorics 2
Fall 2023:
- MAD 4203 Introduction to Combinatorics 1
Spring 2023:
- MHF 3202 Sets and Logic
- MAD 4204 Introduction to Combinatorics 2
Fall 2022:
- MHF 3202 Sets and Logic
Spring 2022:
- MHF 3202 Sets and Logic
- MAD 7397 Special Topics in Combinatorics 2 – Combinatorics of Schubert Calculus
Fall 2021:
- MHF 3202 Sets and Logic
- MAS 4105 Linear Algebra 1
Spring 2021:
- MAD 6207 Combinatorial Theory 2
Fall 2020:
- MAS 4105 Linear Algebra 1
- MAD 6206 Combinatorial Theory 1
Spring 2020:
- MAD 4204 Introduction to Combinatorics 2
Fall 2019:
- MAC 2311 Analytic Geometry and Calculus 1
- MAD 4203 Introduction to Combinatorics 1