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.

Research

This section contains notes from my research, most if not all of which contain open problems.

• Minimal Matching of dP3

• Bender-Knuth Involutions on Linear Extension of Posets and Column-Strict Tableaux [OPEN]

• Finite Mutation Type Divides [OPEN]

• Alternating Sign Triangles [OPEN]

• Labeled Chip-firing on Binary Trees [OPEN]

Talks

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]

Topics

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. 

  • Schubert polynomial 

  • Pipe dream 

• Five vertex model, from Sylvie Corteel, CALICO Spring 2022

• Bulgarian Solitaire, from Nhung Pham's honors thesis, 2022

• Kazhdan-Lusztig factorization

• Quiver representation

• Stack-sorting preimages

• Koszul Algebras, from Ayah Almousa, 2023

• UMN Combinatorics REU 2022

• UMN Combinatorics REU 2023