About Me
I am a 3rd-year math Ph.D. student at the University of Kansas (KU) and currently serve as vice president of the KU Math Graduate Student Organization. My advisor is Reuven Hodges.
Prior to KU, I completed my undergraduate studies at the University of the Pacific, mentored by Alex Dugas.
Mathematical Interests
My primary research interests are in algebraic combinatorics (especially as it intersects representation theory). My current research focuses on understanding the combinatorial aspects of certain Demazure modules as they relate to Levi-spherical Schubert varieties.
I am also interested in various aspects of the representation theory of algebras and its relationship to cluster algebras, dimer models, and Jacobian algebras.
In addition, because many of my students are not pure mathematics majors, I actively explore connections to numerical linear algebra and differential equations to make course material directly relevant to applied disciplines.
Teaching
I teach both at KU as a GTA and as a K-12 instructor at the Art of Problem Solving (both the Online School and the AoPS Academy Virtual Campus).
Current
- Instructor of record for a section of MATH 125 (Calculus for engineering/science/mathematics majors) at KU.
- Instructor of AMC 10/12 Comprehensive Training at the AoPS Academy Virtual Campus.
Upcoming
- Instructor of AMC 10 Problem Series at the AoPS Online School.
The Axioms
The axioms, as laid out by Federico Ardila-Mantilla, are:
- Mathematical potential is equally present in 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.
I firmly believe in these axioms and strive to embody them in my teaching, mentoring, and research.
What else do I do?
- Throwing yo-yos. My favorite style is 3A and my main throw is the YoYoJam Collid3r.
- Speedcubing. I enjoy solving twisty puzzles as a stress-relieving activity. My favorite WCA event is the 6x6.
- Watching anime. During the COVID-19 pandemic, I developed a passion for anime. My favorite series to date are Fullmetal Alchemist: Brotherhood and Steins;Gate.
- Classical piano. Prior to committing to mathematics, I was deeply involved in classical piano. My go-to repertoire included preludes and fugues from Bach’s The Well-Tempered Clavier, as well as sonatas by Beethoven and Prokofiev (and I am an avid TwoSetViolin fan).
- Cybersecurity. In high school, I actively competed in Capture the Flag competitions with redpwn. I also explored Java bytecode obfuscation, which you can see on my GitHub.