Teaching and Service

Work as an Innovation Engineer:

As an Innovation Engineer, I work alongside mathematicians to integrate state-of-the-art tools into everyday practice, including machine learning workflows. I also aim to accelerate the adoption of cutting-edge technologies, design scalable tools, and craft solutions that enhance mathematical insight and productivity.

My day-to-day activities include producing and staying up-to-date on math research, participating in and organizing conferences and workshops which promote the use of AI and ML in math research, creating and maintaining digital math infrastructure such as websites, wikis, and databases for use in math research, and assisting the math community in any way that I can. Concretely, that has meant building the Quiver Mutation Database, writing a tutorial series for mathematicians who want to use computation and machine learning in their work, giving demos at workshops and conferences, and helping host collaborative research visits at ICARM.

You can read the tutorials I have created for ICARM here, or check out the Quiver Mutation Database.

Teaching Philosophy:

"The best way to learn mathematics is to do mathematics." This statement is at the core of my teaching philosophy, and every lesson that I plan starts with this in mind. Students in my courses can expect to spend time in and out of class working through meaningful examples and connecting ideas across courses. Since 2026, my courses have been reshaped by the adoption of AI among students: take-home assignments count for much less of the grade than they used to, and in their place each student or group picks a project from a menu, builds it with whatever tools they like (AI included), and presents it to the class, followed by a few minutes of questions from me. The project menus from Spring 2026 are available upon request.

I base a great deal of my teaching philosophy on the principles articulated in Federico Ardila's four axioms and strive to uphold them both in my teaching and my interactions outside the classroom:

1. Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.

2. Everyone can have joyful, meaningful, and empowering mathematical experiences.

3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.

4. Every student deserves to be treated with dignity and respect.

You can read more in my teaching statement and service statement.

Courses Taught, Developed, or Customized: 

• Pre-Calculus Algebra & Trigonometry: Fall 2019

• Business Calculus: Spring 2020

• Calculus I: Fall 2020

• Calculus II: Spring 2022

• Calculus III: Summer 2021, Fall 2021

• Differential Equations: Spring 2021, Fall 2023, Summer 2024, Fall 2024, ..., Spring 2026 (Honors)

• Introduction to Linear Algebra: Summer 2022

• Abstract Linear Algebra: Spring 2025

• Probability: Spring 2024

• Combinatorics: Spring 2026

• Algebraic Combinatorics (undergraduate topics course): Fall 2024

Service:

• Creator and maintainer of the Quiver Mutation Database, Spring 2026 - present

• Reviewer for Mathematical Reviews (MathSciNet), 2026 - present

• Demo at the SACNAS National Conference, October 2026

• Host of collaborative research visits and workshops at ICARM (dynamics and combinatorics; web growth rules and crystal skeletons; formalization of physics), 2026 - present

• Demo and workshop support, AIM workshop on Number Theory and AI, May 2026

• Co-organizer of the special session on Geometric and Algebraic Combinatorics, AMS Eastern Sectional Meeting, April 2025

• Co-organizer of the special session on Probability and Combinatorics, AMS Eastern Sectional Meeting, April 2025

• Co-mentor (with Ralf Schiffler) of a graduate reading group on quivers with potential, 2024 - 2026

• Co-mentor (with Ralf Schiffler) of a graduate reading group on cluster algebras and scattering diagrams, 2023 - 2024

• Panelist for the University of Alabama Accelerated Master's Program, February 2024

• Directed reading with an undergraduate on Banff and Louise quivers, Fall 2023

• Co-founder and organizer of the University of Alabama Graduate Student Seminar, August 2021 - May 2023

• Panelist for the University of Alabama REU, July 2022

• Tutor for AMC 10, AIME, and SAT, 2021 - 2022