When it comes to teaching (and doing mathematics in general) I assume Federico Ardila's axioms:
Axiom 1: Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2: Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3: Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4: Every student deserves to be treated with dignity and respect.
I am not currently teaching as Instructor of Record.
Vanderbilt: MATH 2300 (Multivariable Calculus), MATH 2420 (Differential Equations), MATH 2410 (Linear Algebra)
UVA: While at UVA I had the opportunity to serve as Instructor of Record for MATH 1210 (4 semesters) and MATH 1310 (2 semesters, flipped), both of which are considered "Calculus I"
UVA: I mentored 4 projects through UVA's DRP, studying the following topics:
Schottky Groups, with William MacMillan, mostly following notes of Caroline Series
Geometries of Surfaces, with Haoyu Li, following Bonahon's "Low-Dimensional Geometry"
Hyperbolic Groups, with K Andrews, following Loh's "Geometric Group Theory: an Introduction"
The Fundamental Lemma of Geometric Group Theory, with Sam Dulin, follwing Clay-Margalit's "Office Hours with a Geometric Group Theorist"
Vanderbilt: I'm hoping to expand Vanderbilt's DRP Program to be more inclusive of students across the Nashville area. Stay tuned!
Summer 2020: Parabolic Subgroups of PSL(2,R)
Summer 2019: Hyperbolic Geometry and Teichmuller Theory