Teaching
In Spring 2027, I am teaching Math 2410 - Methods of linear algebra and Math 2610/5610 - Ordinary differential equations.
Lead instructor
- Spring 2026: MATH 480 - Homotopy theory
- Summer 2023: MATH 208 - Linear Algebra
- Here is a recording of a lecture I gave for this course.
- Winter 2023: MATH 208 - Linear Algebra
Assistant
I was an assistant for the following courses at the University of Washington:
- MATH 120 - Precalculus
- MATH 124 - Calculus I
- MATH 126 - Calculus III
- MATH 208 - Linear algebra
- MATH 300 - Introduction to mathematical reasoning
- MATH 441 - Topology
Additionally, I have been an assistant for the following external events:
- In Summer 2024, I was the assistant for the PCMI Experimental Math Lab.
- Organized by J.D. Quigley (University of Virginia)
- Here is a document created by J.D. and myself for this summer program.
- One of the projects we supervised resulted in a paper. Congrats!
- In Fall 2024, I was the assistant for the eCHT Reading Seminar - Quadratic Curve Counting.
- Organized by Thomas Brazelton (Harvard University) and Sabrina Pauli (TU Darmstadt)
- From Fall 2025 to Spring 2026, I was the assistant for the eCHT Research Seminar
- Organized by Dan Isaksen (Wayne State University), Guchuan Li (Peking University), David Mehrle (University of Kentucky), and J.D. Quigley (University of Virginia)
Directed reading projects
I mentored many undergraduate students through the University of Washington directed reading program.
- Summer 2025: Homological algebra over the Steenrod algebra
- An exploration into homological algebra motivated by computing Ext over the Steenrod algebra. Texts used were Weibel’s Homological Algebra and Mike Hill’s lecture notes on Computational Methods in Algebraic Topology.
- Spring 2025: Homotopy theory
- Topics included higher homotopy groups, Hurewicz isomorphism, Freudenthal suspension theorem, fibrations and cofibrations, long exact sequences in homotopy groups, stable homotopy groups. Text used was Chapter 4 of Hatcher’s Algebraic Topology.
- Fall 2024: Representation theory of finite groups
- Finite groups and their representations over the complex numbers. Text used was chapter 1 of Sagan’s The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
- Spring 2024: Representation theory of finite groups
- Finite groups and their representations over the complex numbers. Text used was Chapter 1 of Sagan’s The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions.
- Winter 2023: Geometric group theory
- An introduction to the geometry of finite groups. Text used was Chapters 1,2 and 3 of Clay and Margalit’s Office Hours with a Geometric Group Theorist.
- Winter 2023: Algebraic topology
- Topics included CW complexes, homology, and cohomology. Text used was Chapters 2, 3 of Hatcher’s Algebraic Topology.
- Fall 2022: The fundamental group and covering spaces
- Topics included the fundamental group, Mayer-Vietoris, covering spaces, deck transformations, universal covers. Text used was Chapters 7-11 of Lee’s Introduction to Topological Manifolds.