“Do not worry too much about your difficulty in mathematics, I can assure you that mine are still greater.”

Albert Einstein

Mentoring

Directed Reading Program: Winter and Spring 2025

1. 3-manifold topology: Andrew Sylvester
2. Khovanov Homology: Alex Gaither
3. Skein Modules and Algebras: Miranda Jiang and Cole Ellison
4. Introduction to Knot Theory: Sam Wang and Runxin Shen

Independent Research: 2024-2025 Academic Year

1. Medial Quandles and Causality Detection: Hongxu Chen

Teaching

University of California, Santa Barbara

Fall 2025: Abstract Algebra

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: 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