My early research interests lean toward algebraic number theory.
The best way to learn mathematics is to do mathematics. As such, I don't just present concepts to students; I also work to build each student's confidence in their personal problem-solving ability. That self-confidence inspires them to continue working on difficult exercises as well as independently seek out math which interests them. Similarly, students are more successful when they have role models with whom they can identify. For this reason, I try to highlight the accomplishments of diverse mathematicians, use language which makes no assumptions about the look or level of a mathematician, and think critically about how my identity informs my mathematical life. Courses whose instruction I have participated in are tabulated below.
|Duke University||Grader||Math 404: Mathematical Cryptography||Spring 2021|
|Duke University||Grader||Math 305S: Number Theory Seminar||Fall 2020|
|University of Utah||Teaching Assistant||Math 1220: Calculus II||Spring 2020||Course website|
|University of Utah||Help Session Tutor||Math 3210/3220: Foundations of Analysis||Fall 2018 — Spring 2020|
I aspire that my teaching is consistent with Federico Ardila's axioms in Todos Cuentan: Cultivating Diversity in Combinatorics, which together constitute a "pressing call to action" for math educators:
Mathematical talent is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Every student deserves to be treated with dignity and respect.
Below are expository notes I wrote to organize my understanding at the time. I collect them here so others may find them useful.
For a completely general audience (no math background needed!), I've also written three articles on the mysterious "perfect numbers": A strange definition of perfect, Perfectly even, and Perfectly odd.