“Do not worry too much about your difficulty in mathematics, I can assure you that mine are still greater.”
Albert Einstein
In Summer 2026, I am co-organising the UCSB CCS Summer REU on Cluster Algebras and Skein Theory with Tonie Scroggin and mentoring a cohort of eight undergraduate students. To prepare for the REU, Tonie and I coorganised a Spring 2026 reading seminar on cluster algebras.
Mentorship
Directed Reading Program: Winter and Spring 2026
- 3-manifold Topology: Roy Zhou
- Combinatorial Knot Theory and Diagrammatic Algebra: Sam Wang
Directed Reading Program: Winter and Spring 2025
- 3-manifold Topology: Andrew Sylvester
- Khovanov Homology: Alex Gaither
- The Kauffman Bracket Skein Module and Algebra: Miranda Jiang
- Skein Modules and Character Varieties: Cole Ellison
- Introduction to Knot Theory: Sam Wang and Runxin Shen
Independent Research: 2025-2026
- Medial Quandles and Causality Detection: Hongxu Chen
Teaching
University of California, Santa Barbara
Spring 2026: Topics in Knot Theory
Winter 2026: Abstract Algebra II
Fall 2025: Abstract Algebra I
Fall 2025: Linear Algebra
Spring 2025: Reading course on Skein Theory and TQFTs
Spring 2025: Differential Equations
Winter 2025: Calculus for Social and Life Sciences
Fall 2024 & Winter 2026: Linear Algebra (proof based)
Fall 2024: Vector Calculus II
Jilin University
Spring 2023: Lecture Series II: Skein Modules and Connections to Hyperbolic and Algebraic Geometry
Spring 2022: Lecture Series I: Skein Modules, Algebras, and Other Quantum Invariants
The George Washington University
Spring 2021: Mathematics and Politics
Fall 2020: Introduction to Mathematical Reasoning
Summer 2020: Single Variable Calculus II
Spring 2020: Linear Algebra with Applications
Fall 2019: Single Variable Calculus II
Summer 2019: Mathematics and Politics
Spring 2019: Multivariable Calculus
Fall 2018: Single Variable Calculus II
Summer 2018: Calculus with Pre-Calculus II
Spring 2018: Calculus with Pre-Calculus II
Fall 2017: Single Variable Calculus I
Spring 2017: Calculus with Pre-Calculus II
Fall 2016: Calculus with Pre-Calculus I
Calculus Lab, Department of Mathematics, The George Washington University