About Me
I am a 2nd year math Ph.D. student at the University of Kansas (KU) working with Reuven Hodges. Currently, I am serving as the vice president for the KU Math Graduate Student Organization.
Prior to KU, I was an undergraduate at the University of the Pacific, mentored by Alex Dugas.
Mathematical Interests
I am interested in various topics in algebra (especially representation theory) that have a combinatorial or visual aspect to them. Some keywords that are especially interesting to me: cluster algebras, quivers, dimers, Demazure crystals.
In addition to the above, I am tangentially interested in a handful of applied-oriented topics in areas such as numerical analysis, differential equations, and applied linear algebra. This largely stems from my personal belief that I have a responsibility, as an academically-oriented mathematician, to help train individuals for the future workforce. Since many of my students will not be headed into academia or mathematics, I try to familiarize myself with the applied areas of mathematics to be able to provide more relevant context when teaching.
Upcoming Travel
- July 27-Aug 6: Graduate Research Workshop in Combinatorics at Iowa State University.
Teaching
I teach both at KU as a GTA and as an K-12 instructor at the Art of Problem Solving (both the Online School and the AoPS Academy Virtual Campus).
Current:
- Instructor of Honors Math 9: Intermediate Algebra at the AoPS Academy Virtual Campus.
- Instructor of AMC 10/12 Camp at the AoPS Academy Virtual Campus.
Upcoming:
- 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.
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 that my actions, at all times, should reflect said belief to the best of my capabilities to do so.
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 gained interest in watching anime. My favorite animes to date are Fullmetal Alchemist: Brotherhood and Steins;Gate.
- Classical piano. Prior to fully committing to mathematics, I used to be invested in classical piano. My go-to pieces to play to were various preludes and fugues from Bach’s The Well-Tempered Clavier, the Prokofiev sonatas, and various Beethoven sonatas. I am a huge TwoSetViolin fan, btw :D.
- Cybersecurity. During high school, I used to be invested in Capture the Flag competitions as part of redpwn. I also used to be somewhat interested in obfuscation of Java bytecode which you can see from taking a look at my GitHub.