Teaching

In Spring 2026, I am teaching Math 480 - Homotopy Theory.

Previous Teaching

• Winter 2026: MATH 208 - Linear Algebra TA
• Fall 2025: MATH 208 - Linear Algebra TA
• Fall 2025 - Spring 2026: eCHT Research Seminar TA
  • Organized by Dan Isaksen (Wayne State University), Guchuan Li (Peking University), David Mehrle (University of Kentucky), and J.D. Quigley (University of Virginia)
• Summer 2025: No teaching, awarded a departmental research assistantship.
• Spring 2025: MATH 208 - Linear Algebra TA
• Winter 2025: MATH 208 - Linear Algebra TA
• Fall 2024: MATH 126 - Multivariable Calculus TA
• Fall 2024: eCHT Reading Seminar - Quadratic Curve Counting TA
  • Organized by Thomas Brazelton (Harvard University) and Sabrina Pauli (TU Darmstadt)
• Summer 2024: MATH 441 - Topology TA
• Summer 2024: 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!
• Spring 2024: MATH 208 - Linear Algebra TA
• Winter 2024: MATH 300 - Introduction to Mathematical Reasoning TA
• Fall 2023: MATH 208 - Linear Algebra TA
• Summer 2023: MATH 208 - Linear Algebra Primary Instructor
  • Here is a recording of a lecture I gave for this course.
• Spring 2023: MATH 300 - Introduction to Mathematical Reasoning TA
• Winter 2023: MATH 208 - Linear Algebra Primary Instructor
• Fall 2022: MATH 120 - Precalculus TA
• Summer 2022: MATH 441 - Topology TA
• Spring 2022: MATH 126 - Multivariable Calculus TA
• Winter 2022: MATH 124 - Differential Calculus TA
• Fall 2021: MATH 124 - Differential Calculus TA

Directed Reading Projects

• 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.