Teaching

My foundational system of teaching axioms are the following (thanks to Federico Ardila):

• 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.

Courses I have taught:

Fall 2026

MATH 111: Introduction to the Calculus (Syllabus)

MATH 350: Groups, Rings, and Fields (Syllabus)

Spring 2026

MATH 211: Multivariable Calculus (Syllabus)

MATH 280: Graph Theory (Syllabus)

Fall 2025

MATH 111: Introduction to the Calculus (Syllabus)

MATH 271: Linear Algebra (Syllabus)

Spring 2025

MATH 211: Multivariable Calculus (Syllabus)

MATH 279: Introduction to Knot Theory (Syllabus)

Fall 2024

MATH 271: Linear Algebra (Syllabus)

MATH 350: Groups, Rings, and Fields (Syllabus)

Spring 2024

MATH 271: Linear Algebra (Syllabus)

Fall 2023

MATH 211: Multivariable Calculus (Syllabus)

Spring 2023 (GT)

MATH 2106: Foundations of Mathematical Proof (Syllabus)

Fall 2022 (GT)

MATH 4107: Abstract Algebra I (Syllabus)

Spring 2021 (GT)

MATH 4107: Abstract Algebra I (Online) (Syllabus)

Fall 2020 (GT)

MATH 1552: Integral Calculus (Online) (Syllabus)

Spring 2020 (GT)

MATH 1552: Integral Calculus (Syllabus, Syllabus after going online)

Fall 2019 (GT)

MATH 2551: Multivariable Calculus (Syllabus)

Summer 2018 (Rice)

MATH 355: Linear Algebra (Syllabus)

Spring 2018 (Rice)

MATH 212: Multivariable Calculus (Syllabus)

Summer 2017 (Rice)

MATH 355: Linear Algebra (Syllabus)

Summer 2016 (Rice)

Rice Program in Mathematics for High School Students: Chaos Theory and Fractals

Summer 2015 (Rice)

Rice Emerging Scholars Program Calculus I

Fall 2014 (Rice)

MATH 102: Calculus II (Syllabus)

Summer 2014 (Rice)

MATH 212: Multivariable Calculus (Syllabus)

Students have done reading courses with me on:

Spring 2026

(Joint with Yael Rice) Islamic Architecture and Geometry

Fall 2024

Mapping class groups using A Primer on Mapping Class Groups by Farb and Margalit.

Spring 2023

Topological 4-manifolds using the Disk Embedding Theorem by Behrens, Kalmar, Kim, Powell, and Ray.

Fall 2021

The Alexander polynomial and Dehn surgery using Knots and Links by Dale Rolfsen and 4-manifolds and Kirby Calculus by Robert Gompf and András Stipsicz.

Fall 2021

Knot groups using Combinatorial Group Theory by Wilhelm Magnus, Abraham Karass, and Donald Solitar along with A Quick Trip Through Knot Theory by Ralph Fox.