Teaching

I operate using Federico Ardila's axioms:

• Axiom 1. Mathematical talent 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.

My personal teaching philosophy is best summed up by my current teaching statement, which you can find here.

Courses I have taught:

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:

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.