This page contains the notes I made. These include my notes from my research projects, from others' talks I attended, some notes on topics I studied and classes I took. Notes with [OPEN] contain open problems. Please let me know if you catch any mistakes in my notes, if there are important/interesting things you want to add, or if there is progress on the open problems.
This section contains notes from my research, most if not all of which contain open problems.
This section contains notes from talks from seminars and conferences I attended.
The TASEP on a ring, Schubert polynomials, and evil-avoiding permutations, Lauren Williams, AlCoVE 2021 [OPEN]
Bulgarian Solitaire, Nhung Pham's honors thesis, 2022 [OPEN]
Alternating Sign Matrix Varieties, Patricia Klein, Macaulay2 Workshop 2023 [OPEN]
8½ open problems in algebraic combinatorics, Alex Postnikov
Schubert Calculus [OPEN]
Combinatorics of hopping particles and positivity in Markov chains, Lauren Williams [OPEN]
Quiver mutations, Sergey Fomin [OPEN]
This section contains notes from topics I studied and found interesting.
Catalan number, 10 objects counted by the Catalan number with bijections among them.
Schubert polynomial and pipe dream, from Zachary Hamaker's work-in-progress note.
Bulgarian Solitaire, from Nhung Pham's honors thesis, 2022
Koszul Algebras, from Ayah Almousa, 2023
Combinatorics of Reflection Groups and Invariant Theory, Math 8680 Fall 2022, UMN, taught by Vic Reiner. See the class website for much better notes!